Maths by Amiya 500 CAT 2016

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3E

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EARNING

Maths By Amiya 500

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E A R N I N G

Maths By Amiya 500

CAT 2016

QUANT 500

By :- Amiya

E A R N I N G

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A N C H I W W W

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E L E A R N I N G

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2016

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C O M

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Maths By Amiya 500 (2017

1. Mohit calculated sum of first N natural number and he found sum is 337 and he knows he

counted one number twice or missed one number. then find his minimum possible % error made by him.

a. 3% b. 3.99%

2. The integers 1,2,….. 30 are written on a board. A person came and erased any two numbers say

"a" & "b" and wrote a new number "a+b+2" this process is done by total 29 persons (including first one) then . What is the number left on the board at the end?

3. If T1=(1) , T2= (3,5) , T3 = (7,9,11) , T(4) = (13,15,17,19) ... Then what is the sum of all

terms of T(10)

4. phi (n) is defined as number of co

numbers, whose sum is 120 then what is the max phi(M)

5. Consider the set S = {1,2,3,………..1000 start with 1 and end with 1000

6. Total number of integral solutions of 13x

7. For how many integral "n" is

8. If HCF , LCM and sum of two numbers are 6 , 15 and 23 then find their difference.

9. If 1 7 6

10. Find the area of the enclosed fig by

11. What is the minimum value of

12. No of integral solution of

13. When a number divided by 6 and 35 remainders are 5 and 7 then what would be remainder

when 11 times of the number is divided by 15

a. 8 b. 13

14. In a circle AB is diameter of length 34 unit and BC is chord of length

perpendicular on AB such that D lies on AB then what is the length AD.

15. What is the area of a rhombus whose one side is 6

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Amiya 500 (2017-19)

Mohit calculated sum of first N natural number and he found sum is 337 and he knows he counted one number twice or missed one number. then find his minimum possible % error

c. 3.69% d. 3.23%

1,2,….. 30 are written on a board. A person came and erased any two numbers say "a" & "b" and wrote a new number "a+b+2" this process is done by total 29 persons

(including first one) then . What is the number left on the board at the end?

= (3,5) , T3 = (7,9,11) , T(4) = (13,15,17,19) ... Then what is the sum of all

phi (n) is defined as number of co-prime less than n. If ‘P’ is product of two different prime 0 then what is the max phi(M)

= {1,2,3,………..10000}, How many APs can be formed from the elements of 00 and have minimum 3 terms?

Total number of integral solutions of 13x - 3y = 1000 for 100< x < 200

For how many integral "n" is

is an integer

If HCF , LCM and sum of two numbers are 6 , 15 and 23 then find their difference.

3 , then find the value of f(x - 1).

enclosed fig by | x- 5 | <3 and | y-5 | < 3. What is the minimum value of |2x -1 | + |2x -2 | + |2x -3 |+ |2x -4 |

42 0

When a number divided by 6 and 35 remainders are 5 and 7 then what would be remainder when 11 times of the number is divided by 15

c. 7 d. Data inadequate e. NoT

In a circle AB is diameter of length 34 unit and BC is chord of length 16 unit. If CD is perpendicular on AB such that D lies on AB then what is the length AD.

What is the area of a rhombus whose one side is 6 unit and one internal angle is 135 degree.

3E Learning Maths By Amiya Ranchi | 2 Mohit calculated sum of first N natural number and he found sum is 337 and he knows he

counted one number twice or missed one number. then find his minimum possible % error

1,2,….. 30 are written on a board. A person came and erased any two numbers say "a" & "b" and wrote a new number "a+b+2" this process is done by total 29 persons

(including first one) then . What is the number left on the board at the end?

= (3,5) , T3 = (7,9,11) , T(4) = (13,15,17,19) ... Then what is the sum of all

prime less than n. If ‘P’ is product of two different prime

can be formed from the elements of S that

If HCF , LCM and sum of two numbers are 6 , 15 and 23 then find their difference.

When a number divided by 6 and 35 remainders are 5 and 7 then what would be remainder NoT

16 unit. If CD is perpendicular on AB such that D lies on AB then what is the length AD.

(3)

16. If major (longest diagonal) of a rhombus is

rhombus is 120° then what is the area of rhombus.

17. 113 100 is divisible by 209 (True / False)

18. 113 100 is divisible by

19. 113 100 is divisible by

20. 113 100 is divisible by 71

21. 113 100 is divisible by 781 (True / False)

22. What is the rate per annum if compound interest after 2 years is same as simple

3 years.

23. At what time between 3&4 both the hands are equi

24. What is the least natural number N for 101^N mod 280 = 1

25. If A takes "a" hours more than time taken to complete a work when A & B work toge

B takes "b" hours more than time taken to complete a work when A & B work together. Then what is efficiency ratio of A and B

1. a : b 2. b:a

26. If X + (1/Y)=1 , Y + (1/Z) = 1 then what is the value of X*Y*Z , if

28. If [ N ] is greatest integer less than equal to N then

√1 !

29. What is the coefficient of x^5 in the expansion of (1+x)(2+x)(3+x)(4+x)(5+x)(6+x)

30. If P = { x /x : x 15 , $%

least one prime number

31. 1 2 3 4 … . .

32. ( 2 ; *+,-

33. Find the cubic equation whose roots

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | If major (longest diagonal) of a rhombus is 6√3 cm and one internal angle of

then what is the area of rhombus. is divisible by 209 (True / False) is divisible by 247 (True / False) is divisible by 143 (True / False) is divisible by 71 (True / False) is divisible by 781 (True / False)

What is the rate per annum if compound interest after 2 years is same as simple

4 both the hands are equidistant from figure 6 but not together What is the least natural number N for 101^N mod 280 = 1

A takes "a" hours more than time taken to complete a work when A & B work toge

B takes "b" hours more than time taken to complete a work when A & B work together. Then what is efficiency ratio of A and B

3. √.: 0 4. √0: . 5. b^2 : a^2

If X + (1/Y)=1 , Y + (1/Z) = 1 then what is the value of X*Y*Z , if none of X, Y & Z are 0 What is the minimum value of2123 2451

If [ N ] is greatest integer less than equal to N then

! √2 ! √3 ! ⋯ … . √1000 ! ?

What is the coefficient of x^5 in the expansion of (1+x)(2+x)(3+x)(4+x)(5+x)(6+x) -0*890: -8;.,9 < ; then how many subset of P would have at

101 _?

=_{… … ?}

Find the cubic equation whose roots are one more than roots of

3E Learning Maths By Amiya Ranchi | 3 cm and one internal angle of

What is the rate per annum if compound interest after 2 years is same as simple interest after

figure 6 but not together

A takes "a" hours more than time taken to complete a work when A & B work together and B takes "b" hours more than time taken to complete a work when A & B work together. Then

none of X, Y & Z are 0

What is the coefficient of x^5 in the expansion of (1+x)(2+x)(3+x)(4+x)(5+x)(6+x) ; then how many subset of P would have at

(4)

34. What is the minimum value of sinx + cos

35. What is the sum of first 100

36. DS - What is the ratio of Cost Price to Selling Price

A. Markup % is 26% more than Profit % and 10% more than Discount %

B. Markup is Rs 26 more than Profit (RS) and Rs 10 more than Discount (in RS)

37. What would be remainder if 98! Is divided by 101 ?

38. What is the sum of all internal angles of this star

39. Coefficient of x⁴ in the expansion of

40. Max number of segments we can create on a plane (open or closed ) by the help of a circle , a

triangle and a line is ______

41. If magnitude of speed in Km/hr of a man is same as rest tim

man. Find maximum distance covered by man in 5 hours.

42. If N is smallest prime number which is equal to sum of three consecutive prime numbers then

what is the sum of digits of N

43. If in an examination of PCMB , 73

Maths, then minimum how many % people have passed in all four papers.

44. Total number of positive integral solution of 3x + 2y = 100 such that

45. If in an examination of PCM ,

minimum how many % people have passed in all three papers.

46. If in an examination of PCM , 60

max how many % people have passed in all three papers.

47. For a natural "n" , 23 6

a. 10 b. 20

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What is the sum of first 1000 terms of series - 1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,.... What is the ratio of Cost Price to Selling Price

Markup % is 26% more than Profit % and 10% more than Discount %

B. Markup is Rs 26 more than Profit (RS) and Rs 10 more than Discount (in RS) er if 98! Is divided by 101 ?

What is the sum of all internal angles of this star

in the expansion of 1 1 1 1 ?

umber of segments we can create on a plane (open or closed ) by the help of a circle , a triangle and a line is ______

If magnitude of speed in Km/hr of a man is same as rest time in minute in an hour of that man. Find maximum distance covered by man in 5 hours.

If N is smallest prime number which is equal to sum of three consecutive prime numbers then what is the sum of digits of N

If in an examination of PCMB , 73% are passed in Phy , 89% in Che, 69 how many % people have passed in all four papers. Total number of positive integral solution of 3x + 2y = 100 such that @ If in an examination of PCM , 75% are passed in Phy , 65% in Che, & 70 minimum how many % people have passed in all three papers.

If in an examination of PCM , 60% are passed in Phy , 65% in Che, & 70 how many % people have passed in all three papers.

6?3_{is div by}

c. 50 d. 100 e.All

3E Learning Maths By Amiya Ranchi | 4 1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,....

Markup % is 26% more than Profit % and 10% more than Discount %

B. Markup is Rs 26 more than Profit (RS) and Rs 10 more than Discount (in RS)

. . . 1

umber of segments we can create on a plane (open or closed ) by the help of a circle , a

e in minute in an hour of that

If N is smallest prime number which is equal to sum of three consecutive prime numbers then

in Che, 69% in Bio & 71% in how many % people have passed in all four papers.

@ A

in Che, & 70% in Maths, then

(5)

48. Mohan sells out a toy at 25% profit. Had he purchased at 25% less and sold it for Rs

25 less, then he would have still gained 25%. Find the cost price of toy

49. If sin ∅ cos ∅ then for

50. Product of first 24 prime number is not divisible by

a. 391 b. 371

51. If product of two sides of an integral sided triangle is 6 then triangle is

I. Acute Angled II. Obtuse Angled V. Equilateral VI. Scalene

52. How many integral sided isosceles triangle is possible , if sum of two sides is 20

53. What is the maximum area of a triangle

triangle is less than equal to 20 unit.

54. Fig is a regular octagon then what is the measurement of angle ADH

55. Find the max value of n for which

56. What would be remainder if 344^49

59. If a , b & c are sides of a right angled triangle and natural numbers then what

remainder if a*b*c is divisible by 15

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | Mohan sells out a toy at 25% profit. Had he purchased at 25% less and sold it for Rs

25 less, then he would have still gained 25%. Find the cost price of toy then for 0 ∅ H

; tan ∅ cot ∅ ? ?

Product of first 24 prime number is not divisible by

b. 371 c. 247 d. 279 e.NoT If product of two sides of an integral sided triangle is 6 then triangle is always

II. Obtuse Angled III.Right Angled IV. Isosceles VI. Scalene VII. None of the above is always correct How many integral sided isosceles triangle is possible , if sum of two sides is 20

What is the maximum area of a triangle - if it is known that sum of any two sides of this triangle is less than equal to 20 unit.

Fig is a regular octagon then what is the measurement of angle ADH

Find the max value of n for which 124K 1 is divisible by 53 What would be remainder if 344^49 - 1 is divided by 7^5 What is the minimum value of 4 3

What is the minimum value of %$- 4%$- 3

If a , b & c are sides of a right angled triangle and natural numbers then what remainder if a*b*c is divisible by 15

3E Learning Maths By Amiya Ranchi | 5 Mohan sells out a toy at 25% profit. Had he purchased at 25% less and sold it for Rs

e.NoT always Isosceles VII. None of the above is always correct How many integral sided isosceles triangle is possible , if sum of two sides is 20

if it is known that sum of any two sides of this

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60. (1 - cot1)(1 - cot2)(1 - cot3)...(1

a. A perfect Square perfect cube

61. If N = (tan46-1)(tan47 -1)(tan48

62. If x + y + z =1 , A

63. DS If f(f(x)) = f(f(f(x))) then f(x) = ?

A. It is not a constant function B. LM

64. If ratio of perimeter of a rectangle and that of a square is

to one side of square is 3:2 then what is the ratio of area of square to that of rectangle.

65. If ABCDEFGHIJ are a regular polygon then what is

66. A husband alone can do a piece of work in 60 ho

baby who always destroy their work they together take Then in how many days baby alone can destroy all the work.

67. If a + b +c = 5 then what is the maximum value

68. In a section of PGP18 of IIM

join the section and average wt of these new students are "70 maximum possible average weight (approx) of the section after join a. 60.66 b. 60.73

69. Arrange A, B & C in ascending order If A = pi^(1/pi) , B = e^(1/e) & C = 1 , where

, e = 2.71

70. If log_P. log_P. log_P

71. If ? 1 is one factor of

then what is the real roots of f(x)=0 a. 1 b. -1

72. There are 6 identical toys and three boys. In how many ways all toys would be distributed

among three boys.

73. In JhumriTillaiya a Paamwala priced his beedi at 85 paise per beedi, but after budget, he

reduced the price of beedi and number of beedies he sold in a day

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | cot3)...(1 - cot42)(1 - cot43)(1 - cot44) is

b. A perfect cube c. A perfect square as well as a d. Irrational Number e. NoT

1)(tan48 -1)...(tan87 -1 )(tan88 -1)(tan89 -1) , then N mod 7 = ? Q _2 &_A_Q _{3 , AQ ?}

DS If f(f(x)) = f(f(f(x))) then f(x) = ? A. It is not a constant function

If ratio of perimeter of a rectangle and that of a square is 5:1 and ratio of one side of rectangle to one side of square is 3:2 then what is the ratio of area of square to that of rectangle.

If ABCDEFGHIJ are a regular polygon then what is measurement of angle EHA

A husband alone can do a piece of work in 60 hours & wife alone in 40 hours, but due to a baby who always destroy their work they together take 16 more hours to complete their work. Then in how many days baby alone can destroy all the work.

If a + b +c = 5 then what is the maximum value 0 4 ∗ . 9 ∗ U

In a section of PGP18 of IIM-X the average weight of 30 students is 60 kg. If x new students join the section and average wt of these new students are "70 - X" kgs, then find the

maximum possible average weight (approx) of the section after joining new students. c. 60.71 d. 60.56 e. NoT

Arrange A, B & C in ascending order If A = pi^(1/pi) , B = e^(1/e) & C = 1 , where

. _{60 then log}_P_.? _?

is one factor of f(x) = 0 ∗ K . ∗ ? U ∗ then what is the real roots of f(x)=0

c. -f/a d. a*b*c*d*e*f e. NoT

There are 6 identical toys and three boys. In how many ways all toys would be distributed

JhumriTillaiya a Paamwala priced his beedi at 85 paise per beedi, but after budget, he reduced the price of beedi andand soldbeediof Rs.77.28 in a day. Then what is the total

in a day?

3E Learning Maths By Amiya Ranchi | 6 c. A perfect square as well as a

1) , then N mod 7 = ?

5:1 and ratio of one side of rectangle to one side of square is 3:2 then what is the ratio of area of square to that of rectangle.

of angle EHA

urs & wife alone in 40 hours, but due to a to complete their work.

X the average weight of 30 students is 60 kg. If x new students X" kgs, then find the

ing new students.

Arrange A, B & C in ascending order If A = pi^(1/pi) , B = e^(1/e) & C = 1 , where pi is 3.14

_{V ∗}_{, ∗}

e. NoT

There are 6 identical toys and three boys. In how many ways all toys would be distributed

JhumriTillaiya a Paamwala priced his beedi at 85 paise per beedi, but after budget, he beediof Rs.77.28 in a day. Then what is the total

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a.37 b. 47

74. In AB and BC are two chords of a circle, then find length of chord

radius of circle is 5cm

75. If third term of a GP is 4096 and

less than that of first 6 terms and Product of f

then which option is best describing range of common ratio. a. [ 1/32 , 1/16] b. ] 1/32 , 1/16[

e. Not

76.

77. All words having three different vowels and three di

dictionary then what would be rank of word BAEICD

78. In group of 12 people, 4 speak on only

Hindi and Tamil. In how many ways can the 1 all those who speak only Hindi

Further all people should be able to converse with both their neighbours.

79. If a three digit number xyz has only

six digit number "xyzxyz" .

80. If Income ratio of A, B & C are 3:7:9 & their saving ratios are 3:1:4 the

is maximum ?

81. If Income ratio of A, B & C are 3:7:9 & their saving ratios are 3:1

is minimum?

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | c. 84 d. 92

In AB and BC are two chords of a circle, then find length of chord AC if AB=BC=6cm and

4096 and its common ratio is positive. The Product of first 7 terms is less than that of first 6 terms and Product of first 6 terms is greater than that of first 5 terms. then which option is best describing range of common ratio.

b. ] 1/32 , 1/16[ c. [ 1/16 , 1/8] d. ] 1/16 , 1/8 [

All words having three different vowels and three different consonant are written in dictionary then what would be rank of word BAEICD

people, 4 speak on only Hindi, 5 speak only Tamil and the rest speak both . In how many ways can the 12 people be arranged in a row such that so are

Hindi are together and so are all those who speak only Further all people should be able to converse with both their neighbours.

hree digit number xyz has only 5 factors then what is the last digit of .

If Income ratio of A, B & C are 3:7:9 & their saving ratios are 3:1:4 then whose expenditure

3E Learning Maths By Amiya Ranchi | 7 C if AB=BC=6cm and

Product of first 7 terms is than that of first 5 terms.

d. ] 1/16 , 1/8 [

fferent consonant are written in

and the rest speak both people be arranged in a row such that so are are together and so are all those who speak only Tamil. Further all people should be able to converse with both their neighbours.

last digit of sum of all factors of

n whose expenditure

(8)

Direction for Q 82 & 83 -

details are given below

Name of Plan P300

P100

Fractional Charge - If you talk in fraction of min charge would be in fraction of that tariff . if extra 1.5 min pay extra `

paisa in P100

82. If one person talks 500 min per month then which plan is better.

83. If one person talks N min per month and for him both plans cost the same. Then N = ?

84. If ∗ WX

85. If angles of a triangle are 30

radius

86. which one is largest among all option

a. 12 14K c. 12K 14

87. What is the sum of all external angles of a 8

88. If ABCD is a prallelogram. Point E and

points of side BC & CD respectively then what is the area ratio of Quard AGFD to that of parallelogram ABCD.

89. How many numbers are the in the set of first 1000 natural numbers

sum of two or more consecutive natural numbers.

90. Total number of integral solution of

91. If Y √123 ∗ 124 ∗ 125 ∗

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DOVAFONE has two monthly tariff plans for calling

Fixed Monthly Charge Benefit

` 300 600 min free , after that per min , fractional charge applied

` 100 30 paisa per min, fractional charge is applied

If you talk in fraction of min charge would be in fraction of that tariff . `1.5 in P300 and 45 paisa or 1.66 min then `1.66 in P300 and

If one person talks 500 min per month then which plan is better.

If one person talks N min per month and for him both plans cost the same. Then N = ? WX and f(3) = 82 then what is f(5) = ?

30° , 60° and 90° then what is the ratio of it's in

which one is largest among all options

b. 13 15? d. 15 13?

What is the sum of all external angles of a 8 sided concave polygon. If ABCD is a prallelogram. Point E and F are mid

points of side BC & CD respectively then what is the area ratio of Quard AGFD to that of parallelogram

How many numbers are the in the set of first 1000 natural numbers which can be written as sum of two or more consecutive natural numbers.

Total number of integral solution of w^4 + x^4 + y^4 + z^4 = 1797

∗ 126 1 then what is the digital sum of N (N mod 9)

3E Learning Maths By Amiya Ranchi | 8 for calling -

600 min free , after that `1 fractional charge is

30 paisa per min, fractional charge is applied

If you talk in fraction of min charge would be in fraction of that tariff .eg 1.66 in P300 and 50

If one person talks N min per month and for him both plans cost the same. Then N = ?

then what is the ratio of it's in-radius to circum

which can be written as

(9)

92. Total number of integral solution ofa³ + b³ +

93. If diagonals of a parallelogram are

sides of parallelogram

a. 22 cm & 4 cm b. 20cm & 10 cm

94. If A,B& C three cities are in a highway. Distance between two

city C is 100 km from B & A both. From city "A" a man starts towards "B" with speed of 30 km/hr and on the same time another man starts from B towards "A" with speed of 20 km/hr. After how much time they exchange their speeds (ne

becomes 20 kmph and 30 kmph respectively ) so that they meet at C

95. If a , b & c are in GP then roots of

a. Real b. Equal

96. If O is centre of the circle, angle

measurement of angle BFC

97. Sum of two positive integers A &B and its LCM is 455. Then how many unordered pairs of

A & B are possible.

98. If O is a point inside a parallelogram ABCD such that areas of

12cm^2 , 15 cm^2 and 10 cm^2 then what is the area of

99. If in ∆ABC , AB = 6 cm , BC = 7 cm and CA = 8 cm , AD is an internal angle bisector of

angle A such that point D lies on side BC then length of AD = ?

100. A34 56B is a 6 digit number in

by 143 then A * B = ?

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If diagonals of a parallelogram are 30cm and 10 cm then among the options which could be b. 20cm & 10 cm c. a & b both possible

If A,B& C three cities are in a highway. Distance between two cities A & B is 200 km and city C is 100 km from B & A both. From city "A" a man starts towards "B" with speed of 30 km/hr and on the same time another man starts from B towards "A" with speed of 20 km/hr. After how much time they exchange their speeds (new speed of man from A and man from B becomes 20 kmph and 30 kmph respectively ) so that they meet at C

If a , b & c are in GP then roots of 0 . U 0 has

c. Imaginary d. (b) or (c) e. Not

angle DOC = 42° then what is the

C

Sum of two positive integers A &B and its LCM is 455. Then how many unordered pairs of

If O is a point inside a parallelogram ABCD such that areas of ∆ABO ,∆ 12cm^2 , 15 cm^2 and 10 cm^2 then what is the area of ∆ AOD.

ABC , AB = 6 cm , BC = 7 cm and CA = 8 cm , AD is an internal angle bisector of angle A such that point D lies on side BC then length of AD = ?

A34 56B is a 6 digit number in base 12 and when we write this in base 10 then it is divisible

3E Learning Maths By Amiya Ranchi | 9 30cm and 10 cm then among the options which could be

d. NoT

cities A & B is 200 km and city C is 100 km from B & A both. From city "A" a man starts towards "B" with speed of 30 km/hr and on the same time another man starts from B towards "A" with speed of 20 km/hr.

w speed of man from A and man from B

e. Not

Sum of two positive integers A &B and its LCM is 455. Then how many unordered pairs of

∆BCO & ∆CDO are

ABC , AB = 6 cm , BC = 7 cm and CA = 8 cm , AD is an internal angle bisector of

(10)

101. If a , b, c, & d are sides of given quadrilateral ABCD then area of ABCD

1. a*b*c*d 2. √0 3. 3√0 ∗ . ∗ U ∗ V 4. ZP

102. For how many different (0

0[4

103. In a trapezium ABCD , E & F are mid points of its diagonals and AB || CD . Find length of

side CD if AB = 12 cm & EF = 4 cm.

104. In a trapezium PQRS , S & T are mid points of its diagonals a

side RS if PQ = 12 cm &ST

105. If [ x ] denotes greatest integer less than equal to x then

\1_{3] \}1₃

106. Three students have each brought

admission head wishes to interview the interviewed before its mother

different ways can be interviews be arranged?

107. In how many ways can we select two squares on a chessboard such that they share either a

common side or a common vertex?

108. A person invests Rs.3000 in 3 months fixed deposit scheme of a bank at the rate of 13%.

Due to some changes in policies, the rate of

first period, to 12%, 11% and 10% respectively. Assuming that the person withdraws the interest after every 3 months but continues deposit, how much more interest would that person have earned in one year,

a. 50 b. 45

109. Three wives have each brought his husband for admission in health course. The instructor

wishes to interview all six people one by one, taking care that no wife is interviewed its husband. In how many different ways can be interviews be arranged?

(1) 120 (2) 100

110. A passenger is planning a trip that involves three connecting buses that leave from

Ambikapur, Bokaro and Chandanpur respectively. The first

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | c, & d are sides of given quadrilateral ABCD then area of ABCD

0 ∗ . ∗ U ∗ V ZP4 ∗[^

0 _ . _ U non zero digit ordered combinations (a,b,c)

In a trapezium ABCD , E & F are mid points of its diagonals and AB || CD . Find length of side CD if AB = 12 cm & EF = 4 cm.

In a trapezium PQRS , S & T are mid points of its diagonals and PQ || RS . Find length of ST = 3 cm.

If [ x ] denotes greatest integer less than equal to x then

1_{9] \}1₃1₉_{27] \}1 1₃1₉₂₇1 _81]1

have each brought his father and mother for admission to a school. The interview the nine people one by one, taking care that no child is interviewed before its mother and no husband is interviewed before his wife

different ways can be interviews be arranged?

In how many ways can we select two squares on a chessboard such that they share either a common side or a common vertex?

A person invests Rs.3000 in 3 months fixed deposit scheme of a bank at the rate of 13%. Due to some changes in policies, the rate of interest changed in every three months, after the first period, to 12%, 11% and 10% respectively. Assuming that the person withdraws the interest after every 3 months but continues deposit, how much more interest would that person have earned in one year, if there was no change in the interest rate?

c. 0 d. 180

Three wives have each brought his husband for admission in health course. The instructor wishes to interview all six people one by one, taking care that no wife is interviewed

its husband. In how many different ways can be interviews be arranged? (2) 100 (3) 72 (4) 90

A passenger is planning a trip that involves three connecting buses that leave from Ambikapur, Bokaro and Chandanpur respectively. The first bus leaves Ambikapur every

3E Learning Maths By Amiya Ranchi | 10 c, & d are sides of given quadrilateral ABCD then area of ABCD

non zero digit ordered combinations (a,b,c) 0[a b

In a trapezium ABCD , E & F are mid points of its diagonals and AB || CD . Find length of

nd PQ || RS . Find length of

] ⋯ ?

for admission to a school. The people one by one, taking care that no child is and no husband is interviewed before his wife. In how many

In how many ways can we select two squares on a chessboard such that they share either a

A person invests Rs.3000 in 3 months fixed deposit scheme of a bank at the rate of 13%. interest changed in every three months, after the first period, to 12%, 11% and 10% respectively. Assuming that the person withdraws the interest after every 3 months but continues deposit, how much more interest would that

if there was no change in the interest rate?

Three wives have each brought his husband for admission in health course. The instructor wishes to interview all six people one by one, taking care that no wife is interviewed before its husband. In how many different ways can be interviews be arranged?

A passenger is planning a trip that involves three connecting buses that leave from bus leaves Ambikapur every

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hour, beginning at 8:00 am, and arrives at Bokaro 2.5 hours later. The second bus leaves Bokaro every 20 minutes, beginning at 8:00 am, and arrives at Chandanpur 7/6 hours later. The third bus leaves Chandanpur every hour, beginn

least total amount of time the passenger must spend between buses if all buses keep to their schedules?

a. 25 minutes b. 1 hour 5 minutes d. 2 hours 20 minutes

111. The lengths of the sides CB and CA of a

angle C is 120°. If the line CD bisects the angle C and meets AB at D, then the length of CD is

a. 4 cm b. 3cm

112. An alloy X consists of 10% Cadmium and 6% zinc and alloy Y con

and 10% zinc. If he needs at least 14 kg of Cadmium and 14 kg of zinc for his experiment. If alloy X costs 60 paisa per kg and alloy X costs 40 paisa per kg, What is the minimum cost he would occur to fulfil his requirement

a. Rs.72 b. Rs.82

113. What is the unit digit of 1

a. 0 b. 1

114. If in a hotel Ram checked in between 1 and 2 o’clock and cheeked out in between 4 and 5

o’clock , if positions of minute hand and hour exchange and what time did Ram check-out from hotel?

a. 4: 11: 15 b. 4: 11: 45

115. If numerators of three fractions are in A.P. and their denominators are in G.P and common

difference of the numerators i

of the first fraction and reciprocal of the second fraction is 6/5 and the product of the second fraction and reciprocal of third fraction is 15/8. If the, then the denominator of the third fraction is

a. 9 b. 18 c. 27

116. Two quadratic equations with positive roots have one common root. The sum of the product

of all four roots taken two at a time is 143. The equation whose roots are the two different roots is – 14 45

a. 20 b. 21

117. There are 10 pipes that are connected to a tank. Some of them are inlet pipes and the others

are outlet pipes. Each of the fill pipes can fill the tank in 6 hours and each of the outle empty the tank completely in 4 hours. If all the fill pipes and outlet pipes are kept open, an filled tank gets emptied in 10 hours. How many of the 10 pipes are inlets pipes?

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | hour, beginning at 8:00 am, and arrives at Bokaro 2.5 hours later. The second bus

leaves Bokaro every 20 minutes, beginning at 8:00 am, and arrives at Chandanpur 7/6 hours later. The third bus leaves Chandanpur every hour, beginning at 8:45 am. What is the least total amount of time the passenger must spend between buses if all buses keep to their

b. 1 hour 5 minutes c. 1 hour 15 minutes

The lengths of the sides CB and CA of a triangle ABC are 4cm and 6cm respectively and the . If the line CD bisects the angle C and meets AB at D, then the length of CD

b. 3cm c. 2.4cm d. None of these

An alloy X consists of 10% Cadmium and 6% zinc and alloy Y consists of 5% Cadmium and 10% zinc. If he needs at least 14 kg of Cadmium and 14 kg of zinc for his experiment. If alloy X costs 60 paisa per kg and alloy X costs 40 paisa per kg, What is the minimum cost he would occur to fulfil his requirement

b. Rs.82 c. Rs.92 d. None of these

1₂₃_{⋯ . 9}

c. 5 d. 9

If in a hotel Ram checked in between 1 and 2 o’clock and cheeked out in between 4 and 5 o’clock , if positions of minute hand and hour exchange and maintained same position then at

out from hotel?

b. 4: 11: 45 c 4: 12: 15 d. None of these

If numerators of three fractions are in A.P. and their denominators are in G.P and common difference of the numerators is equal to the common ratio of the denominators . The product of the first fraction and reciprocal of the second fraction is 6/5 and the product of the second fraction and reciprocal of third fraction is 15/8. If the, then the denominator of the third

d. cannot be determined

Two quadratic equations with positive roots have one common root. The sum of the product of all four roots taken two at a time is 143. The equation whose roots are the two different

0. The sum of all different roots is c. 22 d. 24

There are 10 pipes that are connected to a tank. Some of them are inlet pipes and the others are outlet pipes. Each of the fill pipes can fill the tank in 6 hours and each of the outle

empty the tank completely in 4 hours. If all the fill pipes and outlet pipes are kept open, an filled tank gets emptied in 10 hours. How many of the 10 pipes are inlets pipes?

3E Learning Maths By Amiya Ranchi | 11 hour, beginning at 8:00 am, and arrives at Bokaro 2.5 hours later. The second bus

leaves Bokaro every 20 minutes, beginning at 8:00 am, and arrives at Chandanpur 7/6 ing at 8:45 am. What is the least total amount of time the passenger must spend between buses if all buses keep to their

triangle ABC are 4cm and 6cm respectively and the . If the line CD bisects the angle C and meets AB at D, then the length of CD

d. None of these

sists of 5% Cadmium and 10% zinc. If he needs at least 14 kg of Cadmium and 14 kg of zinc for his experiment. If alloy X costs 60 paisa per kg and alloy X costs 40 paisa per kg, What is the minimum cost he

d. None of these

If in a hotel Ram checked in between 1 and 2 o’clock and cheeked out in between 4 and 5 maintained same position then at

If numerators of three fractions are in A.P. and their denominators are in G.P and common s equal to the common ratio of the denominators . The product of the first fraction and reciprocal of the second fraction is 6/5 and the product of the second fraction and reciprocal of third fraction is 15/8. If the, then the denominator of the third

Two quadratic equations with positive roots have one common root. The sum of the product of all four roots taken two at a time is 143. The equation whose roots are the two different

There are 10 pipes that are connected to a tank. Some of them are inlet pipes and the others are outlet pipes. Each of the fill pipes can fill the tank in 6 hours and each of the outlet can empty the tank completely in 4 hours. If all the fill pipes and outlet pipes are kept open, an filled tank gets emptied in 10 hours. How many of the 10 pipes are inlets pipes?

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a. 8 b. 4

118. In how many ways can we select two

common vertex and of same colour?

119. If A, B , C ,... Z are 26 positive numbers such that A+B+C+....+Z = 13, then find minimum

possible value of

def

120. If A, B , C & D are sets of few natural numbers then how many ordered set (A,B,C,D) are

possible such that g ∪ i ∪ a. 2 b. 6

121. In how many ways one can select 5 toys from 6 identical toys of type

type-2 and 8 identical toys of type

122. If A, B & C are in GP, and integers then how many ordered triplets are possible such that

A+B+C = 99

123. ABCD is a trapezium in which AB||CD ; O is point of intersection of diagonals ; 3AB=4CD,

and area of triangle AOB = 12 sq. cm find area of trapezium ABCD.

124. What is the sum of last two

125. The lengths of the sides A

angle B is 120°. If the line BD is

126. If Y 1 2 ∗ 1 2

R = N mod 2^65 then what is the last two digits of R.

127. There were three friends A,B,C and a dog. In an evening they hadfew breads with them. But

at the night one all were sleeping A wake up and gave one bread to dog and kept one third of remaining bread with himse

the same order. When they wake up in the morning , all three counted the breads then they gave one bread to dog and distributed remaining breads in three equal parts. If in all four distributions each get integral number of breads then find the minimum number of breads they had in evening.

128. If in a triangle ABC, BE & CF are medians which are perpendicular to each other,

the area of triangle ABC if BE = 6cm and CF = 9cm.

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | c. 2 d. None of these

In how many ways can we select two squares on a chessboard such that they share a common vertex and of same colour?

If A, B , C ,... Z are 26 positive numbers such that A+B+C+....+Z = 13, then find minimum

f ⋯ j

D are sets of few natural numbers then how many ordered set (A,B,C,D) are k ∪ l m1,2,3, . . . ,10<&g ∩ i ∩ k ∩ l ∅

c. 10 d.14 e. NoT

In how many ways one can select 5 toys from 6 identical toys of type-2 and 8 identical toys of type-3

If A, B & C are in GP, and integers then how many ordered triplets are possible such that

ABCD is a trapezium in which AB||CD ; O is point of intersection of diagonals ; 3AB=4CD, iangle AOB = 12 sq. cm find area of trapezium ABCD.

last two digits of 1 2 3 ⋯ . 99

The lengths of the sides AB and BC of a triangle ABC are 3cm and 7cm respectively and the BD bisects the angle B and meets AC at D, then the length of

2_{∗ 1 2}?_{∗ 1 2}_{∗ 1 2}=_∗ 1

what is the last two digits of R.

There were three friends A,B,C and a dog. In an evening they hadfew breads with them. But at the night one all were sleeping A wake up and gave one bread to dog and kept one third of

elf and leave rest and went to sleep, then B ,& C did the same in the same order. When they wake up in the morning , all three counted the breads then they gave one bread to dog and distributed remaining breads in three equal parts. If in all four

egral number of breads then find the minimum number of breads

If in a triangle ABC, BE & CF are medians which are perpendicular to each other, area of triangle ABC if BE = 6cm and CF = 9cm.

3E Learning Maths By Amiya Ranchi | 12 squares on a chessboard such that they share a

If A, B , C ,... Z are 26 positive numbers such that A+B+C+....+Z = 13, then find minimum

D are sets of few natural numbers then how many ordered set (A,B,C,D) are ∅

-1, 7 identical toys of

If A, B & C are in GP, and integers then how many ordered triplets are possible such that

ABCD is a trapezium in which AB||CD ; O is point of intersection of diagonals ; 3AB=4CD,

7cm respectively and the at D, then the length of BD

2_{∗ 1 2}=?_&

There were three friends A,B,C and a dog. In an evening they hadfew breads with them. But at the night one all were sleeping A wake up and gave one bread to dog and kept one third of

and went to sleep, then B ,& C did the same in the same order. When they wake up in the morning , all three counted the breads then they gave one bread to dog and distributed remaining breads in three equal parts. If in all four

egral number of breads then find the minimum number of breads

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129. If in a triangle ABC, BE & CF are medians which are perpendicular to each other,

then find the perimeter of trian

130. If in a ∆ABC, AB=AC, AD is median such that D lies on BC. Points E,F and G lies on AC,

AD and BD respectively, if then find angle GED.

131. If 3cm, 4cm and 5cm are length of altitudes of a triangle then triangle is

a. Acute angled triangle c. Right angled triangle

132. If sin sinA sin 133. If _oo _pp 4 *+

134. ( 0 . 40 4

135. logq10Z10r10√10…

136. If Boys and Girls are sitting in a row in below given pattern.

G B G B B G B BB G B BBB G...

137. If A is 25% more efficient than B, who is 20% less e

days to complete the work than C alone. Then in which day they would complete the work if B starts the work and A & C helps him of alternate day

a. 10th Day b. 11th Day

138. If [x] is the greater integer less than or equal to ‘

series

[√1 M √2! √3! √4 a. 99 b. 615

139. Data shows that 61%, 46% and 29% of CAT test takers take mocks of “FarierDauncher”,

“LIME” and “GMS”. 25% took exactly two of the three mocks and 3% took none of these three mocks. Then what percentage of CAT test takers took all the three test?

a. 19% b. 8%

140. The smallest perfect square which is divisible by 8! is

a. 564,480 b. 403,200

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | If in a triangle ABC, BE & CF are medians which are perpendicular to each other,

of triangle ABC if AC = 10cm and AB= 5cm.

C, AD is median such that D lies on BC. Points E,F and G lies on AC, AD and BD respectively, if ∆DEF is an equilateral ∆ , ∆AFE is an isosceles ∆ and EG || AB

e length of altitudes of a triangle then triangle is b. Obtuse angled triangle d. Not possible

_{Q 270° then maximum value of x+y+z}

+,- _o _p ?

0 *+,- 0?_.? _?

… ? ? ?

If Boys and Girls are sitting in a row in below given pattern. G B G B B G B BB G B BBB G...

If A is 25% more efficient than B, who is 20% less efficient than C. If B alone takes 5 more days to complete the work than C alone. Then in which day they would complete the work if B starts the work and A & C helps him of alternate day

c. 12th Day d. Data inadequate

is the greater integer less than or equal to ‘x’, then find the value of the following  4! ⋯ L√99 M

c. 915 d. None of These

Data shows that 61%, 46% and 29% of CAT test takers take mocks of “FarierDauncher”, MS”. 25% took exactly two of the three mocks and 3% took none of these three mocks. Then what percentage of CAT test takers took all the three test?

b. 8% c. 7% d. None of these The smallest perfect square which is divisible by 8! is

b. 403,200 c. 2,822,400 d. 604,800

3E Learning Maths By Amiya Ranchi | 13 If in a triangle ABC, BE & CF are medians which are perpendicular to each other,

C, AD is median such that D lies on BC. Points E,F and G lies on AC, ∆ , ∆AFE is an isosceles ∆ and EG || AB

e length of altitudes of a triangle then triangle is

is ____

fficient than C. If B alone takes 5 more days to complete the work than C alone. Then in which day they would complete the work if

d. Data inadequate

’, then find the value of the following

Data shows that 61%, 46% and 29% of CAT test takers take mocks of “FarierDauncher”, MS”. 25% took exactly two of the three mocks and 3% took none of these three mocks. Then what percentage of CAT test takers took all the three test?

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141. If R is the radius of a circle, whose chords AB & BC are of 8 and 15 respectively

and making angle 90° at B equal to ‘x’ ]

142. If a,d,c,d are different positive integers such that

then among the options which one is a possible value for a + b + c + d a. 10 b. 17

143. s7∗ q7 ∗ Z7 ∗ r7 ∗ √74 4

4 4 4

form then what would be remainder when "m+n" is divisible by 7

144. If N = (7^50-1)/6 ; then what would be remainder when N is divided by 13

145. Let T1,T2,T3, ... be the numbers which can be written as a sum of one

powers of 3 with T1<T2<T3<...

T3 = 30 + 31 = 4 and so on.... & T

possible value for all "i". Then

146. If area of a rectangle is 96 cm^2 then minimum number of identical square inside this rectangle

which covers all the area of rectangle is _______

147. ABCDEFGH is a regular polygon. Diagonal AE & GD cut at O then what is the value of angle

GOA ???

148. With A, B and C as centres, three

externally. If the sides of the perimeters of the circles? (in pi)

149. If ABCD is a square of side 1 unit, PAB & QCD are two equilateral triangles.

distance between P & Q is _____

150. If ABCD is a square of side 1 unit, PAB & QCD are two equilateral triangles. Maximum

distance between P & Q is _____

151. If 4cm & 5 cm are sides of a parallelogram and 6 cm is one diagonal then length of another

diagonal is ____

152. How many integral solutions exist for the given set of inequalities?

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | radius of a circle, whose chords AB & BC are of 8 and 15 respectively

, then [R] =? [where [x] is the greater integer less than or

If a,d,c,d are different positive integers such that

P

tu auv

_K?

then among the options which one is a possible value for a + b + c + d b. 17 c. 14 d. 25

7∗ … if there are SIXTY, 7's = 7wx where m & form then what would be remainder when "m+n" is divisible by 7

; then what would be remainder when N is divided by 13

be the numbers which can be written as a sum of one or more diff ... such that, T1 = 30 = 1, T2 =31 = 3,

and so on.... & T1,T2,T3, ..are consecutive numbers and Ti-T

Then What is the value of T50?

is 96 cm^2 then minimum number of identical square inside this rectangle which covers all the area of rectangle is _______

ABCDEFGH is a regular polygon. Diagonal AE & GD cut at O then what is the value of angle

With A, B and C as centres, three circles are drawn such that they touch each other

externally. If the sides of the ∆ABC are 8 cm, 10 cm and 12 cm, then what is the sum of the perimeters of the circles? (in pi)

If ABCD is a square of side 1 unit, PAB & QCD are two equilateral triangles. distance between P & Q is _____

If ABCD is a square of side 1 unit, PAB & QCD are two equilateral triangles. Maximum distance between P & Q is _____

If 4cm & 5 cm are sides of a parallelogram and 6 cm is one diagonal then length of another

How many integral solutions exist for the given set of inequalities?

3E Learning Maths By Amiya Ranchi | 14 radius of a circle, whose chords AB & BC are of 8 and 15 respectively

] is the greater integer less than or

where m & n are in simplest

; then what would be remainder when N is divided by 13

or more different Ti+1 have minimum

is 96 cm^2 then minimum number of identical square inside this rectangle

ABCDEFGH is a regular polygon. Diagonal AE & GD cut at O then what is the value of angle

circles are drawn such that they touch each other

∆ABC are 8 cm, 10 cm and 12 cm, then what is the sum of the

If ABCD is a square of side 1 unit, PAB & QCD are two equilateral triangles. Minimum

If ABCD is a square of side 1 unit, PAB & QCD are two equilateral triangles. Maximum

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|x + 4| + |x – 3|7 and x² + y²

153. There were only 9 digits starting from 1 to 9, then Aryabhatta (India) invented 0 (zero) and

placed it before 1, now BharyaKhan

now in this new system there would be how many perfect squares of positive integers less that equal to 100 of that system.

154. For a given AP if sum of first 10th terms and first 29th terms

equal to zero.

155. W1 =X W1 =X W1 =

156. If S = { 3,9,15,21,27,...,123 } & T = { 2,7,12,...., 102} , then what would be sum of all

elements of S ∩ y

157. If S = { 3,9,15,21,27,...,123 } & T = { 2,7,12,...., 102} , then what

elements of S ∪ T

158. If half life is defined as time required for the amount of something to fall to half its initial

value. If Half life of a 100 years then after 400 years what % of element would be remaining .

159. With marking system** of cat correct

known to us that there are 30 non MCQ out of 100 questions. **Marking System -

The scoring scheme for multiple

• Each correct answer is awarded 3 marks. • An incorrect answer fetches

• No marks are given or deducted for un 160. If 63 5- 3 is divided by M remainder always comes N , irrespective of for all - @ 3 ; where M, N, & n are natural numbers , then what is the maximum he value of MN 161. What is the sum of all values of "n" for which 162. If two circles cut each other at PQ, angle PNQ 60 degree and angle PMQ 9 where M & N are centre of circles the what is ratio of area of circle whose centre is area whose centre is N. 163. Find the number of trailing zeros 164. In four cuts either perpendicular or parallel to base be possible of a cake Lif we dont arrange piecesM

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | 7 and x² + y² 9

There were only 9 digits starting from 1 to 9, then Aryabhatta (India) invented 0 (zero) and placed it before 1, now BharyaKhan (Zakistan) in vented ῲ (joyega) and placed it af

now in this new system there would be how many perfect squares of positive integers less that equal to 100 of that system.

For a given AP if sum of first 10th terms and first 29th terms are same then which term is

=_{X W1}=

?X … W1 =

KX ? ? ?

If S = { 3,9,15,21,27,...,123 } & T = { 2,7,12,...., 102} , then what would be sum of all

If half life is defined as time required for the amount of something to fall to half its initial value. If Half life of a 100 years then after 400 years what % of element would be remaining

of cat correct how many different marks can be obtained if it is known to us that there are 30 non MCQ out of 100 questions.

The scoring scheme for multiple-choice questions is as follows: Each correct answer is awarded 3 marks.

rrect answer fetches -1.

No marks are given or deducted for un-attempted questions. is divided by M remainder always comes N , irrespective of for all ; where M, N, & n are natural numbers , then what is the maximum he value of alues of "n" for which 3-_{- 18 is a prime number} each other at PQ, angle PNQ 60 degree and angle PMQ 9 where M & N are centre of circles the what is ratio of area of circle whose centre is trailing zeros 150! 151! 152! 153! either perpendicular or parallel to base, maximum how many pieces can Lif we dont arrange piecesM

3E Learning Maths By Amiya Ranchi | 15 There were only 9 digits starting from 1 to 9, then Aryabhatta (India) invented 0 (zero) and

(joyega) and placed it after 9. then now in this new system there would be how many perfect squares of positive integers less that

same then which term is

If S = { 3,9,15,21,27,...,123 } & T = { 2,7,12,...., 102} , then what would be sum of all

would be sum of all

If half life is defined as time required for the amount of something to fall to half its initial value. If Half life of a 100 years then after 400 years what % of element would be remaining

how many different marks can be obtained if it is

is divided by M remainder always comes N , irrespective of for all ; where M, N, & n are natural numbers , then what is the maximum he value of is a prime number each other at PQ, angle PNQ 60 degree and angle PMQ 90 degree , where M & N are centre of circles the what is ratio of area of circle whose centre is M to , maximum how many pieces can

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www.facebook.com/groups/MBAMathsByAmiya 165. Find the rate of interest , if 480.48 and difference between CI & SI for two years Rs 154 then what is rate of interest. 166. Find sum of money for which difference between CI & SI for three years is Rs 41.23 and difference between CI & SI f 167. In four cuts either perpendicular or parallel to base be possible of a cake Lif we dont arrange piecesM 168. If there are 8 lines in plane and two lines are parallel different segments created by these lines are ____ 169. If there are 8 lines in plane and two lines are parallel then maximum number of closed segments created by these lines are ____ 170. Inside a circle maximum how many different parts can chords. 171. Find the total number of regions by 12 lines in a plane in which 5 are parallel 172. Find the maximum numbers of regions created by 12 lines in a plane in which there are two sets of parallel lines in one set 5 lines are p there are 4 lines are parallel and in rest 3 lines not two lines are parallel and first set are not parallel to second set 173. If a - b 5&0 . 140 , then | ab| ???? a. √27 b. 5 174. If in ∆ gik , AB 6 cm , AC 8 cm and angle ABC triangle , then what is the perimeter of triangle. a. 17 √37 175. If in ∆ gik , AB 6 cm , AC of triangle , then what is the perimeter of triangle. a. 6 4√3 b. 6 6 176. If in a parallelogram ABCD , AB 4 cm and BC 5cm and internal angle is diagonal BD ? 177. There are how many different integral sided right one side is 30 unit 178. How many integral sided non perimeter is 50

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | Find the rate of interest , if difference between CI & SI for three years is Rs 480.48 and difference between CI & SI for two years Rs 154 then what is rate of Find sum of money for which difference between CI & SI for three years is Rs 41.23 and difference between CI & SI for two years Rs 13.30 if rate of interest is same for both. either perpendicular or parallel to base, maximum how many pieces can be possible of a cake Lif we dont arrange piecesM If there are 8 lines in plane and two lines are parallel then maximum number of different segments created by these lines are ____ If there are 8 lines in plane and two lines are parallel then maximum number of closed segments created by these lines are ____ Inside a circle maximum how many different parts can be created by 10 different Find the total number of regions by 12 lines in a plane in which 5 are parallel Find the maximum numbers of regions created by 12 lines in a plane in which there are two sets of parallel lines in one set 5 lines are parallel to each other and in second set there are 4 lines are parallel and in rest 3 lines not two lines are parallel and first set are 140 , then | ab| ???? c. √29 d. 0 , AB 6 cm , AC 8 cm and angle ABC 60° then what is the perimeter of triangle , then what is the perimeter of triangle. b. 17 - √37 c. a or b , AB 6 cm , AC 2√3 cm and angle ABC 30° then what is the perimete of triangle , then what is the perimeter of triangle. b. 6 6√3 c. a or b If in a parallelogram ABCD , AB 4 cm and BC 5cm and internal angle is There are how many different integral sided right angled triangle are possible whose How many integral sided non-concurrent triangles are possible whose one is 5cm and

3E Learning Maths By Amiya Ranchi | 16 difference between CI & SI for three years is Rs 480.48 and difference between CI & SI for two years Rs 154 then what is rate of Find sum of money for which difference between CI & SI for three years is Rs 41.23 or two years Rs 13.30 if rate of interest is same for both. , maximum how many pieces can then maximum number of If there are 8 lines in plane and two lines are parallel then maximum number of closed be created by 10 different Find the total number of regions by 12 lines in a plane in which 5 are parallel Find the maximum numbers of regions created by 12 lines in a plane in which there are arallel to each other and in second set there are 4 lines are parallel and in rest 3 lines not two lines are parallel and first set are then what is the perimeter of d. NoT then what is the perimeter d. NoT If in a parallelogram ABCD , AB 4 cm and BC 5cm and internal angle is 120° then angled triangle are possible whose concurrent triangles are possible whose one is 5cm and

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www.facebook.com/groups/MBAMathsByAmiya 179. If in a class of 96 students, 30 participated in IMO , 36 participated in IPO & 38 participated in ICO, if it is known that all of the students participated in at least one of the test then maximum number of students who participated in all three. 180. If in a class of 100 students of an institute, 90 wrote CAT , IIFT, if it is known that all of number of students who wrote all three. 181. How many different Tic-boxes with X or 0 Direction : Direction : Direction : Direction :Given pi-chart is % brack 182. If in 2016 ; 12 more students join IIM in2016 approx 7.77% students joins L then in 201 a. 32 b. 38 183. If ABC^2 AC*A*10006BC , where ABC is three digit number , AC is a double digit number & 6BC is again a three digit number then what is the value of 184. If abc is a three digit number then abc bca ca a. 3 b. 9 c. abc 185. 2 4 6 ⋯ 20 a. 4300 b. 4200 186. =∗∗ ∗K_? ∗_K … .∗ a. x is a decimal so no last two digits

187. If 0√ .√ U√ then what is the

than 1 188. If a number n is divided by 30 remainder is 4 then what would be remainder if divided by 6. 189. If M x/y then N y/x , then among options which options could be a between M&N , if x & y are a. 100% b. 200% 8% 12%

Selection in different IIMs in 2015

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | If in a class of 96 students, 30 participated in IMO , 36 participated in IPO & 38 ICO, if it is known that all of the students participated in at least one of the test then maximum number of students who participated in all three. If in a class of 100 students of an institute, 90 wrote CAT ,80 wrote XAT & hat all of 100 students wrote at least one of the test then maximum number of students who wrote all three. -Tac-Toe is possible on a rotating cardboard if we fill all nine chart is % brack-up of selection of students in different IIMs in 2015. 12 more students join IIM-A and all rest numbers remains the same then in2016 approx 7.77% students joins L then in 2016 how many students were joined C c. 40 d. 43 e. NoT If ABC^2 AC*A*10006BC , where ABC is three digit number , AC is a double digit number & 6BC is again a three digit number then what is the value of If abc is a three digit number then abc bca cab is always divisible by d. 37 ₁₃₅_{⋯ 19}_? b. 4200 c. 4100 d. 4000 then what is the last two digits of x a. x is a decimal so no last two digits b. 47 c. 51 then what is the value of x if a,b,c & x are natural numbers more If a number n is divided by 30 remainder is 4 then what would be remainder if If M x/y then N y/x , then among options which options could be a N , if x & y are different natural numbers b. 200% c. 300% d. 500% 20% 30% 10% 20%

Selection in different IIMs in 2015

A B C L

3E Learning Maths By Amiya Ranchi | 17 If in a class of 96 students, 30 participated in IMO , 36 participated in IPO & 38 ICO, if it is known that all of the students participated in at least one of the test then maximum number of students who participated in all three. wrote XAT &60 wrote students wrote at least one of the test then maximum Toe is possible on a rotating cardboard if we fill all nine of selection of students in different IIMs in 2015. A and all rest numbers remains the same then how many students were joined C If ABC^2 AC*A*10006BC , where ABC is three digit number , AC is a double digit number & 6BC is again a three digit number then what is the value of i_k_? is always divisible by d. 4000 d. NoT a,b,c & x are natural numbers more If a number n is divided by 30 remainder is 4 then what would be remainder if -_is If M x/y then N y/x , then among options which options could be a % change d. 500% e. NoT

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www.facebook.com/groups/MBAMathsByAmiya 190. If LCM of two numbers a,b is 60 then among the options how many could be ratio of a:b I. 3:5 II. 5:6 a. only one b. only two 191. If N is a natural number smaller than 100 th _ 1 192. If 1 is one side of integral sided triangle then among option which one is wrong a. Perimeter of triangle is odd b. Minimum two sided of tria c. It cannot be a right angled triangle d. None 193. There are 28 numbers written in a circle such that sum of any 3 consecutive numbers is constant, then to know sum of all numbers minimum how many numbers we should know. a. One b. Two 194. What is the sum of first 63 terms of 195. If in ∆ ABC , points D, F & H are on side AB & E, G & I are on side AC BC || DE || FG || HI and AHHFFDDB then what is the area ratio of 196. If in ∆ ABC , points D, & F are on side AB ; E & G are on side AC ; such that BC || DE || FG LBC > DE > FGM and if the area ratio of the ratio of AF:FD:DB a. 7: 3:2 b. 2:3:7 197. If in ∆ ABC , points D, F & H are on side AB ; and points E, G & I are on side AC such that BC || DE || FG || HI and AH :HF:FD:DB 2:3:5:7 then what is the ratio of BC : DE : FG : HI 198. qªª«Zªª«rªª«√ªª«⋯ q¬«Z¬«r¬«√¬«⋯ 199. A number on being divided by respectively. Find the remainder when the same number is divided by 200. A number on being divided by 7 , 9 and 11 successively leaves the remainders 5, 7 and 9 respectively. Find the remainder when the same number is divided by 693 201. ∗q®¯∗Z®¯∗r®¯∗√®¯ °∗q®°Z®°r®°√®⋯

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | If LCM of two numbers a,b is 60 then among the options how many could be

III.4:15 IV.12 : 25 c. only three d. All four e. None

If N is a natural number smaller than 100 then for how many values of N , HCF If 1 is one side of integral sided triangle then among option which one is wrong a. Perimeter of triangle is odd Minimum two sided of triangle are equal c. It cannot be a right angled triangle There are 28 numbers written in a circle such that sum of any 3 consecutive numbers is constant, then to know sum of all numbers minimum how many numbers we should c. Three d. None What is the sum of first 63 terms of , ,_?, ,, _?,, ,_?, , points D, F & H are on side AB & E, G & I are on side AC BC || DE || FG || HI and AHHFFDDB then what is the area ratio of ∎DEIH to that of , points D, & F are on side AB ; E & G are on side AC ; such that BC || DE || FG LBC > DE > FGM and if the area ratio of ∎DEGF to that of ∎BCED is 1:8 then what is c. 2:1:4 d. 1:2:3 ∆ ABC , points D, F & H are on side AB ; and points E, G & I are on side AC such that BC || DE || FG || HI and AH :HF:FD:DB 2:3:5:7 then what is the ratio of BC : DE : FG : HI ? ing divided by 6, 8 and 10 successively leaves the remainders respectively. Find the remainder when the same number is divided by A number on being divided by 7 , 9 and 11 successively leaves the remainders 5, 7 and the remainder when the same number is divided by 693 ⋯ ⋯ ?

3E Learning Maths By Amiya Ranchi | 18 If LCM of two numbers a,b is 60 then among the options how many could be en for how many values of N , HCFN, N6 If 1 is one side of integral sided triangle then among option which one is wrong There are 28 numbers written in a circle such that sum of any 3 consecutive numbers is constant, then to know sum of all numbers minimum how many numbers we should , , ?, … , points D, F & H are on side AB & E, G & I are on side AC BC || DE || FG || HI to that of ∎BCGF. , points D, & F are on side AB ; E & G are on side AC ; such that BC || DE || ∎DEGF to that of ∎BCED is 1:8 then what is e. NoT ∆ ABC , points D, F & H are on side AB ; and points E, G & I are on side AC such that BC || DE || FG || HI and AH :HF:FD:DB 2:3:5:7 then what is the ratio of BC : DE : FG : HI successively leaves the remainders 5, 7 and 9 respectively. Find the remainder when the same number is divided by 120. A number on being divided by 7 , 9 and 11 successively leaves the remainders 5, 7 and the remainder when the same number is divided by 693

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www.facebook.com/groups/MBAMathsByAmiya 202. If ³ q7 3 ∗ Z7 3 ∗ r7 YR 0 then R ??? 203. If P is the set of all possible products of numerical values of e.g.11*12*13 in calendar then , how many elements of P are not divisible by 6.

204. If 0 . U 30.U

positive number. a. 1889 b. 1888 205. 1333 1334 1333 206. If x-3 , x-4 & fx are factors of f1 207. What will be the last three digits of the product 5 * 25 * 125 * 625 * 3125 * ………* 5^30 208. AC is the chord of a circle as shown in the fig, BD is perpendicular to AC. Find the length of chord AC if BD 4cm , CD 2cm & radius of circle 209. There are many less than 10000 which are perfect square an 210. What is the probability of choosing a number is Natural number set so that number is a perfect square with same last two digits. 211. What is the probability of choosing a number becomes a prefect square. 212. In a triangle ABC the length of altitude AD is 20 cm and BD:DC 1 : 5 D is point in between B & C . Find the length of a line segment EF parallel to AD if ratio of area o ∆EFC to that of ∆ABC is 8:15

www.facebook.com/groups/MBAMathsByAmiya 3E Learning Maths By Amiya Ranchi | r7 3 ∗ √7 ⋯&µ q7 3 ∗ Z7 3 ∗ r7 f P is the set of all possible products of numerical values of three consecutive dates 11*12*13 in calendar then , how many elements of P are not divisible by 6. 0 . U ; a 1889 , b1888 then what is c if c is a c. a or b d. NoT 1333_{3999 ∗ 1333 ∗ 1334 ? ? ?} 4 & fx are factors of _{0 ∗} _{68 . the what is the} What will be the last three digits of the product 5 * 25 * 125 * 625 * 3125 * ………* AC is the chord of a circle as shown in the fig, BD is perpendicular to AC. Find the length of chord AC if BD cm & radius of circle 10 cm. There are many less than 10000 which are perfect square and tenth place digit is odd. What is the probability of choosing a number is Natural number set so that number is a perfect square with same last two digits. What is the probability of choosing a number whose last two digits are same and it becomes a prefect square. ABC the length of altitude AD is 20 cm and BD:DC 1 : 5 D is point in between B & C . Find the length of a line segment EF parallel to AD if ratio of area o ∆EFC to that of ∆ABC is 8:15.

3E Learning Maths By Amiya Ranchi | 19 r7 3 ∗ √7 … and X-three consecutive dates 11*12*13 in calendar then , how many elements of P are not divisible by 6. what is c if c is a the what is then value of What will be the last three digits of the product 5 * 25 * 125 * 625 * 3125 * ………* d tenth place digit is odd. What is the probability of choosing a number is Natural number set so that number is a whose last two digits are same and it ABC the length of altitude AD is 20 cm and BD:DC 1 : 5 D is point in between B & C . Find the length of a line segment EF parallel to AD if ratio of area o