IMO Level-2 Class-6

(1)

LEVEL - 2

Year 2011-12

5

th

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SECTION I : LOGICAL REASONING

1.

1. In the In the given arrangement some given arrangement some symbols are symbols are there each there each of which of which is preceded is preceded by a by a digit and digit and somesome digits are there each of which is preceded by a symbol. What is total number of both these ? digits are there each of which is preceded by a symbol. What is total number of both these ?

9

9 V V @ @ S S 2 2 G G R R A A 3 3 Q Q £ £ B B Z Z 7 7 C C YY DD_{T 4 * P F 6 @ $ 5 E H B J}_{T 4 * P F 6 @ $ 5 E H B J} dd

(A)

(A) 33 (B)(B) 11 (C)(C) 22 (D)(D) None None of of thesethese 2.

2. If city is If city is called villagcalled village, village e, village is called is called forest, foforest, forest is crest is called sofa, alled sofa, sofa is sofa is called frecalled freeze and eze and freezefreeze is called bathroom, then where do deer live ?

is called bathroom, then where do deer live ? (A)

(A) Village Village (B)(B) Sofa Sofa (C)(C) Freeze Freeze (D)(D) Forest Forest 3.

3. A A square transparent sheet square transparent sheet with a with a pattern is pattern is given. Find given. Find out from out from amongst the amongst the options as options as to howto how the pattern would appear when the transparent sheet is folded along the dotted line.

the pattern would appear when the transparent sheet is folded along the dotted line.

(A)

(A) D D AA _(B)_(B) _(C)_(C) A A D D

(D)

(D) D D A A

4.

4. Find the Find the wrong term wrong term in the in the given series given series : 2, : 2, 3, 8, 3, 8, 28, 128, 112, 56512, 565 (A)

(A) 33 (B)(B) 2828 (C)(C) 88 (D)(D) 112112

5.

5. With the With the help of help of given diagram, given diagram, nd how nd how many persons many persons take tea take tea and wine and wine but not but not coffee.coffee.

(A)

(A) 2020 (B)(B) 1717 (C)(C) 2525 (D)(D) 1515

6.

6. Introducing Suchi, Naman Introducing Suchi, Naman says, ‘‘She says, ‘‘She is the is the wife of wife of only nephew only nephew of only of only brother of brother of my mothermy mother.’’.’’ How is Suchi related to Naman ?

How is Suchi related to Naman ? (A)

(A) Wife Wife (B)(B) Sister Sister (C)(C) Sister-in-law Sister-in-law (D)(D) Son-in-law Son-in-law 7.

7. Find Find the the missing missing number number in in the the adjoining adjoining table.table. (A) (A) 9494 (B) (B) 7676 (C) (C) 1616 (D) (D) 7373 8.

8. Choose Choose the the correct correct mirror-image of mirror-image of g. (X), g. (X), if the if the mirror is mirror is placed placed alongalong MR MR ..

(A) (A)   (B)(B)   (C)(C)   (D) (D)  

(3)

3

3 55thth_{IMO | Level-II | Class 6 |}_{IMO | Level-II | Class 6 |}

9.

9. Three out Three out of these of these gures are gures are similar in a similar in a certain waycertain way. Find the . Find the gure which gure which is different is different from thefrom the

rest. rest. (A)

(A) (B)(B) (C)(C) (D)(D)

10.

10. How many pairs of How many pairs of letters are there in the word letters are there in the word PURPOSEFUL which have as PURPOSEFUL which have as many letters betweenmany letters between them in the word as in the English alphabet ?

them in the word as in the English alphabet ? (A)

(A) One One (B)(B) Two Two (C)(C) Three Three (D)(D) Four Four 11.

11. The length and breadth of a room are 8 m and The length and breadth of a room are 8 m and 6 m respectively. A 6 m respectively. A cat runs along side all the fourcat runs along side all the four

walls and nally along a diagonal in order to catch a rat. How much total distance is covered by the

cat ? cat ? (A)

(A) 10 10 mm (B)(B) 14 14 mm (C)(C) 38 38 mm (D)(D) 48 48 mm

12.

12. At a party PAt a party P, Q, R, S and T are sitting in a circle. The group , Q, R, S and T are sitting in a circle. The group comprises an ofcercomprises an ofcer, an industrialist, an industrialist

and a businessman. The businessman is sitting in between the industrialist and his wife S. P is and a businessman. The businessman is sitting in between the industrialist and his wife S. P is

an ofcer married to T who is the sister of Q. The industrialist is seated to the right of R. Both

the ladies are unemployed. Who among them is a graduate ? the ladies are unemployed. Who among them is a graduate ? (A)

(A) PP (B)(B) QQ (C)(C) RR (D)(D) Data Data inadequateinadequate

13.

13. Find the gure from Find the gure from the options which will continue the series the options which will continue the series established by the problem gures.established by the problem gures.

(A)

(A) (B)(B) (C)(C) (D)(D)

14.

14. Six friends PSix friends P, Q, R, S, T and U are sitting around a hexagonal t, Q, R, S, T and U are sitting around a hexagonal table each at one corner. P isable each at one corner. P is second to the left of U. Q is the neighbour of R and S. T is second to the left of S. Who among second to the left of U. Q is the neighbour of R and S. T is second to the left of S. Who among the following are the neighbours of P ?

the following are the neighbours of P ? (A)

(A) U U and and PP (B)(B) T T and and RR (C)(C) U U and and RR (D)(D) None None of of thesethese

15.

15. Select a gure from amongst the Select a gure from amongst the options, which when placed in the blank options, which when placed in the blank space would completespace would complete

the pattern in Fig. (x). the pattern in Fig. (x).

(A)

(A) (B)(B) (C)(C) (D)(D)

16.

16. In a row of In a row of students Rakesh is students Rakesh is 1212thth_{from the left and Kartik is 17}_{from the left and Kartik is 17}thth_{from the right. When they}_{from the right. When they} interchange their positions Kartik becomes 27

interchange their positions Kartik becomes 27thth_{from the right. How many students are there between}_{from the right. How many students are there between} Kartik and Rakesh?

Kartik and Rakesh?

(A)

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17.

17. In the following sequence how many 8’s are there each of which is preceded by In the following sequence how many 8’s are there each of which is preceded by an odd numberan odd number,, but not followed by an even number ?

but not followed by an even number ? 7

7 8 8 2 2 8 8 9 9 3 3 8 8 5 5 2 2 3 3 8 8 4 4 7 7 8 8 1 1 9 9 8 8 8 8 55 (A)

(A) 33 (B)(B) 22 (C)(C) 55 (D)(D) 11

18.

18. In the given sequencIn the given sequence, how many unshade, how many unshaded circles will there be in pattern 99?ed circles will there be in pattern 99?

P

Paatttteerrn n 11 PPaatttteerrn n 22 PPaatttteerrn n 33 PPaatttteerrn n 44

(A)

(A) 9898 (B)(B) 100 100 (C)(C) 9696 (D)(D) 9595

19.

19. If ‘–’ If ‘–’ stands for stands for division, ‘+’ division, ‘+’ stands for stands for multiplicamultiplication, ‘tion, ‘÷÷_{’ stands for subtraction and ‘}_{’ stands for subtraction and ‘}××_{’ for addition,}_{’ for addition,}

then which one of the following equations is correct ? then which one of the following equations is correct ? (A)

(A) 66 ÷÷_{20 × 12 + 7 – 1 = 70}_{20 × 12 + 7 – 1 = 70} _(B)_(B) ₆₆ ++_{20 – 12}_{20 – 12} ÷÷_{7 + 1 = 62}_{7 + 1 = 62}

(C)

(C) 6 6 – – 2020 ÷÷_{12 × 7 + 1 = 57}_{12 × 7 + 1 = 57} _(D)_(D) ₆_{6 +}_{+ 20}₂₀_–_{– 12}₁₂ ÷÷_{7 – 1 = 38}_{7 – 1 = 38}

20.

20. The given question consThe given question consists of two sets ists of two sets of gures. Figures (i), (ii), (iii) and of gures. Figures (i), (ii), (iii) and (iv) constitute the (iv) constitute the problemproblem

set. There is a denite relationship between gures (i) and (ii). Establish a similar relationship

between gures (iii) and (iv) by selecting a suitable gure from the options that would replace (?)

in gure (iv). in gure (iv). ( (ii) ) ((iiii)) S S CC   TT S S C C   T T ( (iiiiii) ) ((iivv)) S S _C_C T T

?

(A) (A) S S CC T T (B) (B) S S T T (C) (C) S S T T (D) (D) S S T T

SECTION II : MATHEMATICAL REASONING

21.

21. Find the average of Find the average of all the odd all the odd numbers from 1 numbers from 1 to 16.to 16. (A)

(A) 44 (B)(B) 99 (C)(C) 88 (D)(D) 1717

22.

22. What is the missinWhat is the missing number g number that shall go in that shall go in the box?the box? 600.051

600.051 = = 600 600 + + + + 0.0010.001 (A)

(A) 0.005 0.005 (B)(B) 0.05 0.05 (C)(C) 0.5 0.5 (D)(D) 55 23.

23. Which one Which one of the of the following statements is following statements is true?true? (A)

(A) If a number If a number is divisible is divisible by 3, by 3, it must be it must be divisible by divisible by 9.9. (B)

(B) If a number exactly If a number exactly divides the sum of divides the sum of two numbers, it must two numbers, it must exactly divide the two exactly divide the two numbers separately.numbers separately. (C)

(C) A number is A number is divisible by divisible by 18, if it 18, if it is divisible is divisible by both 3 by both 3 and 6.and 6. (D)

(D) None None of of thesethese 24.

24. Find the valuFind the value of 50 – (– 48) – (– 2) – 1e of 50 – (– 48) – (– 2) – 110 + (– 80) – (– 100)10 + (– 80) – (– 100) (A)

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5

DIRECTION (Q.No. 25-27) : Study the following graph carefully and answer the questions that follow. DIRECTION (Q.No. 25-27) : Study the following graph carefully and answer the questions that follow.

Three different products (in thousands) produced by a company in ve different years

25.

25. What was the total number of all What was the total number of all the products produced by the company the products produced by the company in the year 2006 andin the year 2006 and 2008 together ?

2008 together ? (A)

(A) 10750 10750 (B)(B) 107.5 107.5 lacslacs (C)(C) 105700 105700 (D)(D) None None of of thesethese 26.

26. What is the What is the difference betweedifference between the n the total number of total number of Pen Drives and CDs Pen Drives and CDs produced by the produced by the companycompany in the year 2008 and the number of Key Boards produced by the company in the year 2006 ?

in the year 2008 and the number of Key Boards produced by the company in the year 2006 ? (A)

(A) 40000 40000 (B)(B) 4000 4000 (C)(C) 35000 35000 (D)(D) 3500 3500 27.

27. What was the ratio of the What was the ratio of the number of CDs produced bnumber of CDs produced by the company in the y the company in the year 2009 to the numberyear 2009 to the number of Key Boards produced by the company in the year 2005 ?

of Key Boards produced by the company in the year 2005 ? (A)

(A) 9 9 : : 1010 (B)(B) 11 11 : : 1010 (C)(C) 10 10 : : 99 (D)(D) 10 10 : : 1111 28.

28. How many unit cubes must How many unit cubes must be transferred from the solid on be transferred from the solid on the left to the solid on the left to the solid on the right sothe right so that both of them have the same number of unit cubes ?

that both of them have the same number of unit cubes ?

(A)

(A) 55 (B)(B) 33 (C)(C) 44 (D)(D) 22

29.

29. What is the What is the minimum number of minimum number of shaded squares that must be shaded squares that must be added so that added so that the linethe line AB AB becomes becomes a line of symmetry ?

a line of symmetry ?

(A)

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30.

30. Find the area of Find the area of the shaded part the shaded part of the given of the given gure (not drawn gure (not drawn to scale).to scale).

(A)

(A) 182 182 cmcm22 _(B)_(B) ₃₂₀_{320 cm}_cm22 _(C)_(C) ₁₂₈_{128 cm}_cm22 _(D)_(D) ₁₉₂_{192 cm}_cm22

31.

31. What fraction of What fraction of the gure the gure is shaded is shaded ??

(A) (A) 44 12 12 (B)(B) 5 5 12 12 (C)(C) 7 7 12 12 (D)(D) 9 9 12 12 32.

32. Find the Find the value of 6435value of 6435.9 + 7546.4 + 1203..9 + 7546.4 + 1203.5.5. (A)

(A) 15188.5 15188.5 (B)(B) 15155.5 15155.5 (C)(C) 15185.8 15185.8 (D)(D) 15815.8 15815.8 33.

33. Select Select the INCthe INCORRECT ORRECT match.match. Column

Column I I Column Column IIII

(A)

(A) Points Points are are collinear collinear if if they they lie lie on on same same line.line. (B)

(B) Diameter Diameter is is a a chord chord passing passing through through centre centre of of the the circle.circle. (C)

(C) Parallel Parallel lines lines are are lines lines which which do do not not meet.meet. (D)

(D) Simple Simple curve curve is is a a curve curve which which crosses crosses itself.itself. 34.

34. If the diagonals of a quadrilateraIf the diagonals of a quadrilateral bisect each other at right angles, then the quadrill bisect each other at right angles, then the quadrilateral is aateral is a ____

____.. (A)

(A) Parallelogram Parallelogram (B)(B) Trapezium Trapezium (C)(C) Rhombus Rhombus (D)(D) Rectangle Rectangle 35.

35. If 5 If 5 : 4 : 4 : : : : 30 :30 : x x , then the value of, then the value of x x is ____. is ____. (A)

(A) 2424 (B)(B) 1212 (C)(C) 3/2 3/2 (D)(D) 66

36.

36. If the cost oIf the cost of 25 packets f 25 packets with 12 pencils in with 12 pencils in each packet iseach packet is ``_{750, then the cost with 30 packets of}_{750, then the cost with 30 packets of}

8 pencils in each packet is _____.

(A)

(A) ``₆₀₀₆₀₀ _(B)_(B) ``₇₂₀₇₂₀ _(C)_(C) ``₆₄₀₆₄₀ _(D)_(D) ``₆₂₀₆₂₀

37.

37. The gure is a solid cuboid. How many rectangular faces The gure is a solid cuboid. How many rectangular faces does it have does it have ??

(A) (A) 66 (B)(B) 88 (C)(C) 33 (D)(D) 44 38. If 38. If 11 2 2 = = 11 4 4 = = and

and , then which one of the following has the greatest value?, then which one of the following has the greatest value?

(A)

(7)

7

39.

39. If the length of each side of a If the length of each side of a unit square is 2 cm, nd the perimeter of unit square is 2 cm, nd the perimeter of the given gure.the given gure.

(A)

(A) 200 200 cmcm (B)(B) 124 124 cmcm (C)(C) 100 100 cmcm (D)(D) 50 50 cmcm 40.

40. The The value value ofof 22

5 5 1 1 4 4 1 1 2 2 + + ++ is _______. is _______. (A) (A) 4 4 11 11 (B)(B) 3 3 20 20 (C)(C) 11 3 3 20 20 (D)(D) 2 2 77 20 20

SECTION III : EVERYDAY MATHEMATICS

41.

41. Rahul had 68 Rahul had 68 marbles more than Rohit. marbles more than Rohit. After Rohit bought another After Rohit bought another 23 marbles, Rohit had23 marbles, Rohit had 33

8

8 asas

many marbles as Rahul had. How many marbles did Rahul have ? many marbles as Rahul had. How many marbles did Rahul have ? (A)

(A) 3636 (B)(B) 7272 (C)(C) 8181 (D)(D) 144144

42.

42. The ratio of Mohit’s age to Gaurav’s age is 6 The ratio of Mohit’s age to Gaurav’s age is 6 : 5 now. : 5 now. If Mohit is 9 years older than Gaurav, GauravIf Mohit is 9 years older than Gaurav, Gaurav is _____ years old.

is _____ years old. (A)

(A) 4545 (B)(B) 5454 (C)(C) 6363 (D)(D) 7272

43.

43. A machine makes A machine makes 24 paper cups in 2 24 paper cups in 2 minutes. At this rate, how minutes. At this rate, how many paper cups will it make many paper cups will it make inin

540 seconds ? 540 seconds ? (A)

(A) 108 108 (B)(B) 216 216 (C)(C) 432 432 (D)(D) 864864 44.

44. 2 chairs an2 chairs and 1 table cod 1 table costst ``_{54000. If 1 chair and 1 table cost}_{54000. If 1 chair and 1 table cost} ``_{38000, what is the cost of 5}_{38000, what is the cost of 5}

chairs ? chairs ? (A)

(A) ``₆₀₀₀₀₆₀₀₀₀ _(B)_(B) ``₉₂₀₀₀₉₂₀₀₀ _(C)_(C) ``₈₀₀₀₀₈₀₀₀₀ _(D)_(D) ``₂₀₀₀₀₂₀₀₀₀

45.

45. The difference betweThe difference between the length and breaden the length and breadth of a rectangle is 23 m. If its perimeter is 206 m,th of a rectangle is 23 m. If its perimeter is 206 m, then its area is _____.

then its area is _____. (A)

(A) 1520 1520 mm22 _(B)_(B) ₂₄₂₀₂₄₂₀_m_m22 _(C)_(C) ₂₄₈₀_{2480 m}_m22 _(D)_(D) ₂₅₂₀_{2520 m}_m22

46.

46. TTanuj walked 8.96 km on Tuesdayanuj walked 8.96 km on Tuesday, 7.50 km on Wednesday and some distance on Thursday. If he, 7.50 km on Wednesday and some distance on Thursday. If he

walked 21010 metres in three days, how much distance did he walk on Thursday?

(A)

(A) 5.45 5.45 kmkm (B)(B) 4.55 4.55 kmkm (C)(C) 5.54 5.54 kmkm (D)(D) 5.55 5.55 kmkm 47.

47. Ayush had Ayush had a square cardboard of edge a square cardboard of edge 40 cm. The cardboard was cut 40 cm. The cardboard was cut into 4 equal triangles. Findinto 4 equal triangles. Find the area of each triangle.

the area of each triangle. (A)

(A) 10 10 cmcm22 _(B)_(B) ₄₀₀_{400 cm}_cm22 _(C)_(C) ₈₀_{80 cm}_cm22 _(D)_(D) ₈₀₀_{800 cm}_cm22

48.

48. Ashu Ashu slept slept forfor 5511 2

2hr. Pooja slepthr. Pooja slept 11 3 3 5

5 hr more than Ashu. How long did Pooja sleep ?hr more than Ashu. How long did Pooja sleep ?

(A)

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49.

49. Ria bought 1Ria bought 11 dresses and 12 1 dresses and 12 shirts altogether. Each dress costsshirts altogether. Each dress costs ``_{250 and each shirt costs}_{250 and each shirt costs} `

`_{100 less than the dress. How much did Ria spend ?}_{100 less than the dress. How much did Ria spend ?}

(A)

(A) ``₅₅₄₀₅₅₄₀ _(B)_(B) ``₅₄₀₅₅₄₀₅ _(C)_(C) ``₄₅₅₀₄₅₅₀ _(D)_(D) ``₅₄₅₀₅₄₅₀

50.

50. The charges The charges for parking a for parking a car are car are shown below shown below ::

For the first hour For the first hour For every

For every additional additional hour ohour orr part thepart the

` `₅₀₅₀ r r reafter reafter ``₂₂₅_{5 5}_..₅₀₀ Mr.

Mr. Samrat Samrat parked parked his his car car from from 9:00 9:00 a.m. a.m. to to 2:30 2:30 p.m. p.m. How How much much did did he he pay?pay?

(A)

(A) ``₁₆₅₁₆₅ _(B)_(B) ``_175.5_175.5 _(C)_(C) ``_187.5_187.5 _(D)_(D) ``_177.5_177.5

SPA

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LEVEL - 2

Year 2012-13

6

th

(10)

SECTION-I : LOGICAL REASONING

1.

1. If every If every third letter third letter from the from the English alphabets English alphabets is dropped, is dropped, which letter which letter will be will be fourth to fourth to the rightthe right

of fourteenth letter from your right?

(A)

(A) MM (B)(B) NN (C)(C) EE (D)(D) AA

2.

2. Select which Select which of the of the following options will following options will be the be the mirror image of mirror image of the given the given word, if word, if the mirror the mirror isis

placed vertically to the left.

G a y A T R I s u t r A G a y A T R I s u t r A (A) (A) (B)(B) (C) (C) (D)(D) 3.

3. Choose Choose the the odd-one odd-one out.out.

(A)

(A) 4949 (B)(B) 8585 (C)(C) 3636 (D)(D) 8181

4.

4. How will How will you code you code ACCOMMODATE ACCOMMODATE if S if S and V and V are coded are coded as 8 as 8 and 5 and 5 respectively?respectively?

(A)

(A) 26-24-24-12-14-14-12-23-22-26-7 26-24-24-12-14-14-12-23-22-26-7 (B)(B) 26-24-24-12-14-14-12-23-26-7-22 26-24-24-12-14-14-12-23-26-7-22

(C)

(C) 2-25-25-12-7-14-14-23-26-22-12 2-25-25-12-7-14-14-23-26-22-12 (D)(D) 26-24-12-14-7-14-23-21-26-22-8 26-24-12-14-7-14-23-21-26-22-8

5.

5. Find Find out out the the wrong wrong term term in in the the given given series.series.

196, 169, 144, 121, 80

(A)

(A) 8080 (B)(B) 121 121 (C)(C) 169 169 (D)(D) 196196

6.

6. Slct  Slct  gur frm gur frm t ptis t ptis tt frms tt frms  crrct  crrct wtr img wtr img f t f t gi gur.gi gur.

C C C C C C (A) (A) C C C C C C (B) (B) C C C C C C (C) (C) C C C C C C (D) (D) C C C C C C 7.

7. TTwo rows wo rows of numbers of numbers are given. are given. The resultant The resultant number in number in each row each row is to is to be worked be worked out separatelyout separately

based on the following rules and the question below the rows of numbers is to be answered. The

operations of numbers progress from left to right.

Rules

Rules ::

(i)

(i) If If a a two-digit two-digit odd odd number number is is followed followed by by a a two-digit two-digit odd odd number number they they are are to to be be added.added.

(ii)

(ii) If If a a two-digit two-digit even even number number is is followed followed by by a a two-digit two-digit odd odd number number which which is is a a perfect perfect square,square,

the digit number is to be subtracted from the odd number.

(iii)

(iii) If If   tr-igit tr-igit umbr umbr is is fllw fllw by by   tw-igit tw-igit umbr umbr t t rst rst umbr umbr is is t t b b ii ii byby

the second number.

(iv)

(iv) If If a a prime prime number number is is followed followed by by an an even even number number the the two two are are to to be be added.added.

(v)

(v) If If an an even even number number is is followed followed by by another another even even number number the the two two are are to to be be multiplied.multiplied.

16 8 32 16 8 32 132 11 X 132 11 X22 If X is t rsultt f t rst rw, wt is t rsultt f t sc rw? If X is t rsultt f t rst rw, wt is t rsultt f t sc rw? (A) (A) 192 192 (B)(B) 128 128 (C)(C) 132 132 (D)(D) 144144

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3

8.

8. Slct  Slct  gur frm gur frm t ptis t ptis wic will wic will frm  frm  sris stblis sris stblis by t by t Prblm gurs.Prblm gurs.

Prblm Figurs Prblm Figurs

?

(A) (A) (B)(B) (C)(C) (D)(D) 9.

9. I t I t gi gur, gi gur, if t if t ctrs f ctrs f ll t ll t circls r circls r ji by ji by riztl riztl 

rticl lis, t  t ttl umbr f squrs tt c b frm.

(A)

(A) 66 (B)(B) 77

(C)

(C) 88 (D)(D) 1010

10.

10. If 'A + B' means If 'A + B' means A is the father A is the father of B, 'A – B' means of B, 'A – B' means A is the brother of A is the brother of B, 'AB, 'A ÷÷ _{B' means A is the}_{B' means A is the}

wife B and 'A × B' means A is the mother of B, then which of the following represents M is the

maternal grandmother of T?

(A)

(A) M M × × NN ÷÷_{S + T}_{S + T} _(B)_(B) _M_{M ×}_×_N_{N –}_{– S}_S ÷÷_T_T _(C)_(C) _M_{M ×}_×_S_{S –}_{– N}_N ÷÷ _T_T _(D)_(D) _M_{M ×}_×_N_{N ×}_×_S_S÷÷_T_T

11.

11. Slct  gur frm t Slct  gur frm t ptis wic iicts t crrct rptis wic iicts t crrct rltisip btw t tr giltisip btw t tr gi

words.

"Trigl,

"Trigl, Fur-si Fur-si gur, gur, Squr"Squr"

(A)

(A) (B)(B) (C)(C) (D)(D)

12.

12. Slct  gur frm Slct  gur frm t ptis wic ctt ptis wic ctis Fig. (X) s its is Fig. (X) s its prt.prt.

Fig. (X)

(A)

(A) (B)(B) (C)(C) (D)(D)

13.

13. Five friends A, B, C, D Five friends A, B, C, D and E are standing in and E are standing in a row facing north ba row facing north but not necessarily in the ut not necessarily in the samesame

order. Only B is between A and E, C is immediate right to E, and D is immediate left to A. On the

bsis f b ifrmti, wic f t fllwig sttmts is itly tru?

(A)

(A) B B is is to to the right the right of Eof E.. (B)(B) A is A is second to second to the left the left of C.of C.

(C)

(C) D is D is third to third to the left the left of E.of E. (D)(D) B is B is to the to the left of left of A.A.

14.

14. Grup t gi Grup t gi gurs it tr clsss gurs it tr clsss usig c gur usig c gur ly c.ly c.

(A) (A) 1, 2, 1, 2, 3; 4, 3; 4, 5, 6; 5, 6; 7, 8, 7, 8, 99 11 4 4 7 7 2 2 5 5 8 8 3 3 6 6 9 9 (B) (B) 1, 3, 1, 3, 5; 2, 5; 2, 4, 6; 4, 6; 7, 8, 7, 8, 99 (C) (C) 1, 5, 1, 5, 9; 3, 9; 3, 6, 2; 6, 2; 4, 7, 4, 7, 88 (D) (D) 1, 9, 1, 9, 7; 2, 7; 2, 8, 5; 8, 5; 3, 4, 3, 4, 66

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15.

15. In In the the given given question,question,

means means ≠≠ ÷ ÷ _means_means ≥≥ means means ≤≤ = = _{means <}_{means <} + + _{means >}_{means >} × × _{means =}_{means =} If

If aa ++ bb and and bb ++ c c then_____. then_____.

(A)

(A) c c ÷÷ _a_a _(B)_(B) _a_a =₌ _c_c _(C)_(C) _a_a _c_c _(D)_(D) _c_c₌₌ _a_a

16.

16. A square transparent sA square transparent sheet with a pattern is given. Find from amongst the options as to how heet with a pattern is given. Find from amongst the options as to how thethe

pattern would appear when the transparent sheet is folded along the dotted line.

Transparent Sheet

(A)

(A) (B)(B) (C)(C) (D)(D)

17.

17. A man is A man is facing west. He turns 45° facing west. He turns 45° in the clockwise direction and then in the clockwise direction and then another 180° in the another 180° in the samesame

direction and then 270° in the anticlockwise direction. Which direction is he facing now?

(A)

(A) South South (B)(B) North-West North-West (C)(C) West West (D)(D) South-West South-West

18.

18. Csir t gurs X, Y  Csir t gurs X, Y  Z swig  st f ppr fl Z swig  st f ppr fl  puc  t st f puc  t st f

ppr. Slct  gur frm t ptis wic will mst clsly rsmbl t pttr ufl

psiti f gur.

X

X Y Y ZZ

(A)

(A) (B)(B) (C)(C) (D)(D) None None of of thesethese

19.

19. Slct  gur frm Slct  gur frm t ptis wic stiss t t ptis wic stiss t sm citis f plcmt f sm citis f plcmt f t ts st ts s

in Fig. (X). in Fig. (X). Fig. (X) Fig. (X) (A) (A) (B)(B) (C)(C) (D)(D)

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5

20.

20. TTwo positions of a dice wo positions of a dice is given below. is given below. Look at them carefully aLook at them carefully assuming the pictures to be ssuming the pictures to be correctcorrect

and answer the question.

#

#11 ##22

Wic gur is  t fc iict by t rrw #1?

(A)

(A) (B)(B) (C)(C) (D)(D)

SECTION-II : MATHEMATICAL REASONING

21.

21. Find the largest Find the largest 5-digit number which 5-digit number which is completely divisible by is completely divisible by 89.89.

(A)

(A) 99947 99947 (B)(B) 99999 99999 (C)(C) 99936 99936 (D)(D) 99942 99942

22.

22. The minimum number of factThe minimum number of factors of a given ors of a given number is _____ and number is _____ and a multiple of a given a multiple of a given number isnumber is

divisible by the _____.

(A)

(A) 1, 1, given given numbernumber (B)(B) 2, 2, given given numbernumber

(C)

(C) 2, 2, multiples multiples of of given given numbernumber (D)(D) 1, 1, multiples multiples of of given given numbernumber

23.

23. The length, breadth and height of a The length, breadth and height of a room are 9 m 10 room are 9 m 10 cm, 7 m 80 cm and 3 cm, 7 m 80 cm and 3 m 90 cm respectivelym 90 cm respectively..

Find the greatest length of a tape which can be used to measure the dimensions of the room in

exact number of times.

(A)

(A) 1m 1m 16 16 cmcm (B)(B) 1m 1m 30 30 cmcm (C)(C) 1m 1m 90 90 cmcm (D)(D) 1m 1m 60 60 cmcm

24.

24. The The value value of of 6363.._{7– 28}_{7– 28}.._{89 + 76.4 – 37.66 is _____.}_{89 + 76.4 – 37.66 is _____.}

(A)

(A) 73.50 73.50 (B)(B) 73.52 73.52 (C)(C) 73.55 73.55 (D)(D) 73.58 73.58

25.

25. The descending The descending order of order of XX, XXXVI, V is XX, XXXVI, V is _____._____.

(A)

(A) V, V, XXXVI, XXXVI, XXXX (B)(B) XX, XX, V, V, XXXVIXXXVI (C)(C) V, V, XX, XX, XXXVIXXXVI (D)(D) XXXVI, XXXVI, XX, XX, VV

26.

26. What least number should be added to What least number should be added to 1410 to get a number 1410 to get a number exactly divisible by 43 ?exactly divisible by 43 ?

(A)

(A) 99 (B)(B) 11 (C)(C) 33 (D)(D) 77

27. If

27. If l l ||||mm and and PQ PQ is a transversal, then which of the following is false? is a transversal, then which of the following is false?

(A) (A) ∠∠_b_b₌₌ ∠∠_g_g a a _b_b c c _d_d e e _f_f g g _h_h P P Q Q I I m m (B) (B) ∠∠_a_a =₌ ∠∠_h_h (C) (C) ∠∠_a_a =₌ ∠∠_g_g (D) (D) ∠∠_f_f₊₊ ∠∠_h_h_{= 180°}_{= 180°} 28.

28. The given solid is made up of identical blocks. How many such The given solid is made up of identical blocks. How many such blocks are required to make theblocks are required to make the

given solid?

(A)

(A) 1414 (B)(B) 2020 (C)(C) 1717 (D)(D) 1515

29.

29. The value of –297 – (–The value of –297 – (–7) – 428 – (–18) + 7) – 428 – (–18) + (–62) is _______.(–62) is _______.

(A)

(14)

30.

30. If primtr f t If primtr f t gi gur is 68.3 gi gur is 68.3 cm, t t sum cm, t t sum ff x x ++ y y is ____. is ____.

(A)

(A) 8.6 8.6 cmcm (B)(B) 8.1 8.1 cmcm (C)(C) 8.4 8.4 cmcm (D)(D) 9.8 9.8 cmcm

31.

31. The given picture is The given picture is shaded to represent shaded to represent a fractional numbera fractional number..

How

How many many of of the the stars stars in the in the group group below below must must be be shaded shaded to to represent represent a a fraction wfraction with the ith the samesame

value of above unshaded fractional number ?

(A)

(A) 55 (B)(B) 66 (C)(C) 88 (D)(D) 1010

DIRECTION (32 - 33) : Read the following graph and answer the questions below.

5 5 10 10 15 15 20 20 25 25 30 30 35 35 40 40 45 45 50 50 J J A A N N F F E E B B M M A A R R A A P P R R M M A A Y Y J J U U N N E E J J U U L L Y Y A A U U G G S S E E P P O O C C T T N N O O V V D D E E C C MONTHS MONTHS S S a a l l e e ( ( I I n n t t h h o o u u s s a a n n d d s s ) ) 32.

32. Which month Which month has has maximum maximum sale?sale?

(A)

(A) April April (B)(B) July July (C)(C) August August (D)(D) Data Data inadequateinadequate

33.

33. If the total sale If the total sale is 325000 then is 325000 then total sales in March total sales in March and November is ______.and November is ______.

(A)

(A) 40000 40000 (B)(B) 50000 50000 (C)(C) 45000 45000 (D)(D) 55000 55000

34.

34. Fi t lu f Fi t lu f (P + Q) (P + Q) × (R + S).× (R + S).

(A) (A) 11 (B)(B) 33 22 9 9 (C)(C) 22 (D)(D) 11 2 2 9 9

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7

35.

35. When Garima multiplies a certain number by 19 and When Garima multiplies a certain number by 19 and adds 9 to the product, she adds 9 to the product, she gets 313. Find thegets 313. Find the

number.

(A)

(A) 1313 (B)(B) 1414 (C)(C) 1515 (D)(D) 1616

36.

36. In In aa DD_ABC_ABC_{, if 3}_{, if 3}∠∠_A_A ₌₌₄₄ ∠∠_B_B ₌₌₆₆∠∠_C_C_{, then}_{, then} ∠∠_A_A ₊₊ ∠∠_B_B _–_–₃₃∠∠_C_C₌₌

(A)

(A) 70° 70° (B)(B) 40° 40° (C)(C) 20° 20° (D)(D) 60°60°

37.

37. T r f T r f t us rgi t us rgi i t gur is i t gur is ______.______.

16 m 16 m 16 m 16 m 7 m 7 m 7 m 7 m 7 m 7 m 7 m 7 m (A) (A) 207 207 mm22 _(B)_(B) ₁₅₈_{158 m}_m22 _(C)_(C) ₂₅₆_{256 m}_m22 _(D)_(D) ₁₉₆_{196 m}_m22 38. If

38. If km km : : 10 10 km km = = 9000 9000 paise paise :: ``_{3, then box contains_____.}_{3, then box contains_____.}

(A)

(A) 500 500 (B)(B) 600 600 (C)(C) 900 900 (D)(D) 300300

39.

39. The sum of four girls is 57 years and their ages are in the proportion 3 : The sum of four girls is 57 years and their ages are in the proportion 3 : 4 : 5 : 7. The difference4 : 5 : 7. The difference

between the age of eldest and youngest girl is _____.

(A)

(A) 8 8 yearsyears (B)(B) 10 10 yearsyears (C)(C) 12 12 yearsyears (D)(D) 15 15 yearsyears

40. In

40. In DD_AB_AB_C_C_,_, _A_A_B_B ₌₌ _AC_AC_and_and _AD_AD ^^ _BC_BC_,_, _B_B_E_E ^^ _AC_AC_and_and _C_C_F_F ^^ _AB_AB_{. Then,}_{. Then,} DD_AB_AB_C_C _{is symmetrical}_{is symmetrical}

about ______.

(A)

(A) AD AD (B)(B) BE BE (C)(C) CF CF (D)(D) None None of of thesethese

SeCTIon-III : eveRYdaY MaTheMaTICS

41.

41. The maximum number of students The maximum number of students among whom 1001 pens among whom 1001 pens and 910 pencils can be and 910 pencils can be distributed indistributed in

such a way that each student gets the same number of pens and same number of pencils is

(A)

(A) 9191 (B)(B) 910 910 (C)(C) 1001 1001 (D)(D) 1911 1911

42.

42. T pric f cmmity X icrss by 40 pis ry yr, wil t pric f cmmity YT pric f cmmity X icrss by 40 pis ry yr, wil t pric f cmmity Y

increases by 15 paise every year. If in 2001, the price of commodity X was

increases by 15 paise every year. If in 2001, the price of commodity X was ``_{4.20  tt f Y}_{4.20  tt f Y}

was

was `` _{6.30, i wic yr cmmity X will cst 40 pis mr t t cmmity Y?}_{6.30, i wic yr cmmity X will cst 40 pis mr t t cmmity Y?}

(A)

43.

43. Water boils at 212°F or 100°C and Water boils at 212°F or 100°C and melts at 32°F or 0°C. If the temperature of a particular day ismelts at 32°F or 0°C. If the temperature of a particular day is

35°C, it is equivalent to_____.

(A)

(A) 85°F 85°F (B)(B) 90°F 90°F (C)(C) 95°F 95°F (D)(D) 99°F 99°F

44.

44. The mean of 50 observaThe mean of 50 observations was 36. It was found later thations was 36. It was found later that an observation 48 was t an observation 48 was wrongly takenwrongly taken

as 23. The corrected new mean is _____.

(A)

(A) 35.2 35.2 (B)(B) 36.1 36.1 (C)(C) 36.5 36.5 (D)(D) 39.1 39.1

45.

45. The total ages of A The total ages of A and B is 12 years more than the total ages and B is 12 years more than the total ages of B and C. C is how many yearsof B and C. C is how many years

younger than A?

(A)

(16)

46.

46. The boys and girls in a college are in the ratio 3 : 2. If 20% of the boys and 25% of the girls areThe boys and girls in a college are in the ratio 3 : 2. If 20% of the boys and 25% of the girls are

adults, the percentage of students who are not adults is _____.

(A)

(A) 58% 58% (B)(B) 67.5% 67.5% (C)(C) 78% 78% (D)(D) 82.5% 82.5%

47.

47. A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At whaA man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At whatt

pric pr z sul  sll tm t mk  prt f 20%?

(A)

(A) ``₄₄ _(B)_(B) ``₅₅ _(C)_(C) `` ₆₆ _(D)_(D) ``₇₇

48.

48. In a mixture of 60 litres, the ratio of In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If this ratio is to milk and water is 2 : 1. If this ratio is to be 1 : 2, then thebe 1 : 2, then the

quantity of water to be further added is _____.

(A)

(A) 20 20 litreslitres (B)(B) 30 30 litreslitres (C)(C) 40 40 litreslitres (D)(D) 60 60 litreslitres

49.

49. A towel, when bleached, was found to have lost 20% of its length and 1A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The0% of its breadth. The

percentage of decrease in area is _____.

(A)

(A) 10% 10% (B)(B) 10.08% 10.08% (C)(C) 20% 20% (D)(D) 28%28%

50.

50. A A,, BB and and C C start at the same time in the same direction to run around a circular stadium. start at the same time in the same direction to run around a circular stadium.

A

A completes a round in 15 seconds, completes a round in 15 seconds, BB in 30 seconds and in 30 seconds and C C in 18 seconds, all starting at the same in 18 seconds, all starting at the same

point. After what time will they meet again at the starting point?

(A)

(A) 26 26 minutesminutes (B)(B) 140 140 secondsseconds (C)(C) 90 90 minutesminutes (D)(D) 1 1 minute minute 30 30 secondsseconds

SPaCe FoR RoUGh WoRK SPaCe FoR RoUGh WoRK

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LEVEL - 2

Year 2013-14

7

th

(18)

1.

1. The The given given question question consists consists of of ve ve gures gures markedmarked

1, 2, 3, 4 and 5 called the Problem Figures. Select a

gure from amongst the options which will continue

the same series as established by the ve Problem

Figures. Figures. A. A. B. B. C. C. D. D. 2.

2. There There are are certain certain common common characteristics characteristics between between thethe

two Problem Figures. Select a gure from amongst

the options which shows similar characteristics as

shown by the Problem Figures.

A. A. B. B. C. C. D. D. 3.

3. Select Select the the gure gure from from the the options options in in which which the the givengiven

Fig. (X) is exactly embedded as one of its part.

A. A. Fig. (X) Fig. (X) B. B. C. C. D. D. 4.

4. Group Group the the given given gures gures into into three three classes classes using using eacheach

gure only once.

A. A. 1,4,7; 1,4,7; 3,6,9; 3,6,9; 2,5,82,5,8 B. B. 1,6,9; 1,6,9; 2,4,7; 2,4,7; 3,5,83,5,8 C. C. 1,4,7; 1,4,7; 2,6,9; 2,6,9; 3,5,83,5,8 D. D. 1,5,7; 1,5,7; 2,6,9; 2,6,9; 3,4,83,4,8 5.

5. From From his his house, house, Mohit Mohit went went 15 15 kms kms to to the the North.North.

Then he turned West and covered 10 kms. Then, he

turned South and covered 5 kms. Finally, turning to

East, he covered 10 kms. In which direction is he

from his house?

A. A. EastEast B. B. WWestest C. C. NorthNorth D. D. SouthSouth 6.

6. Pointing Pointing to to a a woman woman in in a a photograph photograph a a man man says,says,

"She is the only daughter of my wife's

mother-in-law". How is the woman related to the man?

law". How is the woman related to the man?

A. A. Daughter Daughter B. B. WifeWife C. C. Sister Sister D. D. Mother-in-lawMother-in-law LOGICAL REASONING LOGICAL REASONING LOGICAL REASONING LOGICAL REASONING

(19)

7

7thth_{IMO | Class-6 | Level 2}_{IMO | Class-6 | Level 2} ₃₃

7.

7. Which Which of of the the following following VVenn enn diagram diagram correctlycorrectly

depicts the relationship amongst "Boys, Athletes,

Dancers"? Dancers"? A. A. B. B. C. C. D. D. 8.

8. Find Find the the missing missing character character in in the the question question givengiven

belo below.w. 6 6 1111 2525 8 8 66 1616 12 12 5 5 ?? A. A. 1818 B. B. 1616 C. C. 1212 D. D. 1010 9.

9. Which Which of of the the following following will will be be the the middle middle digit digit ofof

the second highest number among the following five

numbers if the positions of the first and the third

digits in each number are interchanged?

432 851 719 643 287 432 851 719 643 287 A. A. 88 B. B. 33 C. C. 55 D. D. 11 10.

10. In a In a class class of stuof students, dents, Aarush Aarush rank is rank is 2323rdrd_{from top in}_{from top in} Mathematics, whereas his rank is 27

Mathematics, whereas his rank is 27thth_{from below in}_{from below in} Physics. How many students are there in the class?

Physics. How many students are there in the class?

A. A. 5050 B. B. 4040 C. C. 4848 D. Data

D. Data inadequateinadequate

11.

11. The positions The positions of the first of the first and the and the ninth letters ninth letters inin

the word PRESBYTERIANISMS are interchanged.

Similarly, the positions of the second and the tenth

letters are interchanged, and so on. Which of the

following will be the sixth letter from the right end

after rearrangement? after rearrangement? A. A. AA B. B. BB C. C. II D. D. EE 12.

12. In In a a certain certain code code language language pik pik '' da da pa'pa' means 'means 'wherewhere

are you

are you'; '; ''da na jada na ja'' means 'means ' you you may may comcomee'; and ''; and 'nana

ka sa

ka sa'' means 'means 'he may gohe may go'. Which of the following'. Which of the following

means

means comecome in that code language?in that code language?

A. A. dada B. B. ja ja C. C. nana D.

D. None None of of thesethese

13.

13. Study Study the the following following arrangement arrangement carefully carefully and and answeranswer

the question given below.

M%R4AT#J@7D5

M%R4AT#J@7D5_{I F N I E $ 3 6 W U 2 H 8}_{I F N I E $ 3 6 W U 2 H 8}

*

_K9BQ_K9BQ

Which

Which of of the the following following is is the the eighth eighth to to the the leftleft

of the seventeenth from the left end of the above

arrangement? arrangement? A. A. @@ B. B. UU C. C. 88 D. D. TT 14.

14. Starting Starting from from a a pointpoint P P , Sachin walked 20 metres, Sachin walked 20 metres

towards South. He turned left

towards South. He turned left and walked 30 metres.and walked 30 metres.

He then turned left and walked 20 metres. He again

turned left and walked 40

turned left and walked 40 metres and reached a pointmetres and reached a point

Q

Q. How far and in which direction is the point. How far and in which direction is the point QQ

from the point

from the point P P ??

A.

A. 20 20 metres metres WWestest

B.

B. 10 10 metres metres EastEast

C.

C. 10 10 metres metres WWestest

D.

D. 10 10 metres metres NorthNorth

15.

15. A, A, B, B, C, C, D, D, E, E, F, GF, G andand H H are sitting around a circleare sitting around a circle

facing at the centre,

facing at the centre, C C is third to the left of is third to the left of A A andand

second to the right of

second to the right of E E ,, B B is second to the right ofis second to the right of

C

C .. D D is second to the right ofis second to the right of F F who is second towho is second to

the right of

the right of A A.. GG is not an immediate neighbour ofis not an immediate neighbour of

C

C . Who is to the immediate right of. Who is to the immediate right of C C ??

A. A. H H B. B. GG C. C. D D D. Data

D. Data inadequateinadequate

16.

16. Find the Find the least number least number of unit cof unit cubes to ubes to be added be added toto

the solid to form complete a cuboid.

A. A. 2121 B. B. 2020 C. C. 2222 D. D. 1818

(20)

17.

17. There is There is a a denite relationship denite relationship between between gures (i) gures (i) andand

(ii). Establish a similar relationship between gures

(iii) and (iv) by selecting a suitable gure from the

options that will replace the question mark (?) in g.

(iii). (iii). A. A. B. B. C. C. D. D. 18.

18. Which Which of the of the following following options options most most closely closely resemblesresembles

the mirror image of the given word if mirror is placed

vertically left? vertically left? S S U U P P E E R R V V I I S S O O R R A. A. B. B. C. C. D. D. 19.

19. Select a Select a gure gure from amongst from amongst the the options, which options, which whenwhen

place

placed in td in the blahe blank spnk space of ace of Fig. Fig. (X) w(X) would ould complcompleteete

the pattern. the pattern. A. A. B. B. C. C. D. D. 20.

20. Count tCount the numbhe number of er of squares squares in the in the given ggiven gure.ure.

A. A. 88 B. B. 1212 C. C. 1515 D. D. 1818 MATHEMATICAL REASONING MATHEMATICAL REASONING 21.

21. The giThe given guven gure is re is made umade up of p of two idetwo identical ntical rectanglesrectangles..

Find the area of the shaded part.

A. 8 A. 8 cmcm22 B. 40 B. 40 cmcm22 C. 12 C. 12 cmcm22 D. 20 D. 20 cmcm22 22.

22. Find the Find the weight of weight of a cone a cone in terms in terms ofof ww..

A. A. wwkgkg B. B. 22 ww kgkg C. C. 33 ww kgkg D. D. 44 ww kgkg

(21)

7

7thth_{IMO | Class-6 | Level 2}_{IMO | Class-6 | Level 2} ₅₅

23.

23. The length The length of pencil of pencil B is B is exactly half exactly half way between way between thethe

lengths of pencil A and pencil C. What is the length

of pencil B? (Give your answer as a mixed number

in the simplest form.)

A. A. 191922 7 7 cm cm B. B. 99 99 14 14 cmcm C. C. 9944 7 7 cm cm D. D. 9933 7 7 cmcm 24.

24. Find Find the the value value of of

(–17.5) (–17.5) + + 152.82 152.82 ÷ ÷ 9 9 + + 19.8 19.8 – – (– (– 0.7) 0.7) × × 8.068.06 A. A. 24.9024.90 B. B. 22.61222.612 C. C. 24.85424.854 D. D. 24.92224.922

DIRECTION (25-26): The bar graph shows the number of

students in 4 sections of a class.

25.

25. How How many students many students are are there in there in class class 6B?6B?

A. A. 3333 B. B. 3434 C. C. 3535 D. D. 3636 26

26. . How many boys are How many boys are there in the 4 there in the 4 sectionsectionss

altogether? altogether? A. A. 6666 B. B. 5656 C. C. 6868 D. D. 5858 27.

27. Fill Fill in in the the blank:blank:

One

One full full turn turn of of the the hand hand is is _______._______.

A.

A. 3 3 right right anglesangles

B. 1

B. 1 revolutionrevolution

C.

C. 1 1 right right angleangle

D.

D. 1 1 straight straight angleangle

28.

28. Which Which of of the the following statements following statements are are true?true?

(i)

(i) The The subtraction subtraction of of an an integer integer is is the the same same as as thethe

addition of its additive inverse.

(i

(ii) i) One One more more than than the the given given number number gives gives thethe

predecessor

predecessor..

(iii)

(iii) When When two two negative negative numbers numbers are are added, added, we we get get aa

negative number.

A. Only

A. Only (i)(i)

B.

B. Both Both (i) (i) and and (iii)(iii)

C.

C. Both Both (ii) (ii) and and (iii)(iii)

D. Only

D. Only (iii)(iii)

29.

29. The ratio The ratio of Mohit’of Mohit’s savings s savings in accountin account A A to his to his

savings in account

savings in account B B was 8 : 7. He spent was 8 : 7. He spent 22

5

5 of his of his total savings. He then transferred some money from

total savings. He then transferred some money from

one account to another so that both accounts had

one account to another so that both accounts had `

` 765 each. How much money did he have at rst? 765 each. How much money did he have at rst?

A. A. ` ` 2450 2450 B. B. ` ` 25002500 C. C. ` ` 25502550 D. D. ` ` 14601460 30.

30. Which Which of of the the following solids following solids has has the the greatest greatest numbernumber

of faces? of faces? A. A. B.B. C. D. C. D. 31.

31. Amit and Amit and Priya had Priya had an equal an equal amount of amount of money. money. AfterAfter

Priya bought a dress that cost

Priya bought a dress that cost ` ` 79.90 and Amit bought 79.90 and Amit bought

a watch that cost

a watch that cost ` ` 193.40, Priya had 3 times as much 193.40, Priya had 3 times as much

money as Amit. How much money did Priya have at

rst? rst? A. A. ` ` 56.75 56.75 B. B. ` ` 113.50113.50 C. C. ` ` 170.25170.25 D. D. ` ` 250.15250.15 32.

32. Find Find the the smallest smallest number number ofof

shaded squares to be added

so that the gure has a line

of symmetry. of symmetry. A. A. 11 B. B. 22 C. C. 33 D. D. 44

(22)

33.

33. The given The given gure is gure is made up made up of small of small squares. Thesquares. The

length of one side of a small square is 2 cm. Find

the area of the shaded region of the gure.

A. 174 A. 174 cmcm22 B. B. 176 176 cmcm22 C. C. 177 177 cmcm22 D. D. 178 178 cmcm22 34.

34. Find the lFind the least numbereast number, which , which when divided when divided by 36,by 36,

24 and 48, leaves remainders 33, 21 and 45,

respectively. respectively. A. A. 141141 B. 140 B. 140 C. C. 142142 D. 144 D. 144 35.

35. Find the Find the value of value of CLXXXVII – CLXXXVII – CX – CX – LXXIVLXXIV..

A. A. IVIV B. B. IIIIII C. C. CC D. D. XIXI 3 366. . M a r y , C h a r u a n d J o h n h a v eM a r y , C h a r u a n d J o h n h a v e ` ` 2 5 0 0 0 . 7 5 , 2 5 0 0 0 . 7 5 , `

` 18000.79 and 18000.79 and ` ` 8000.45, respectively in their 8000.45, respectively in their

perso

personal nal bank bank accouaccounts. nts. How How much much monemoney y do do theythey

have altogether? have altogether? A. A. ` ` 51002.00 51002.00 B. B. ` ` 51001.88 51001.88 C. C. ` ` 51002.08 51002.08 D. D. ` ` 51001.99 51001.99 37.

37. The ratio The ratio of the of the marks scored marks scored by by a a student in student in English,English,

Mathematics and Science is 1 : 2 : 1

Mathematics and Science is 1 : 2 : 1. If the total marks. If the total marks

of three subjects is 800, then nd the marks in each

subject respectively. subject respectively. A. A. 100, 100, 200, 200, 100100 B. B. 300, 300, 600, 600, 300300 C. C. 140, 140, 280, 280, 140140 D. D. 200, 200, 400, 400, 200200 38.

38. Vipul Vipul earnsearns ` ` 15000 in 3 months. In how many months 15000 in 3 months. In how many months

will he earn will he earn ` ` 95000? 95000? A. A. 1414 B. 16 B. 16 C. C. 1818 D. 19 D. 19 39.

39. Five sqFive square oweuare ower beds r beds each each with swith sides 2 ides 2 m are m are dugoutdugout

from a piece of land, 10 m long and 5 m wide. What

is the area of the remaining part of the land?

A. A. 30 30 sq. sq. mm B. B. 40 40 sq. sq. mm C. C. 50 50 sq. sq. mm D. D. 60 60 sq. sq. mm 40.

40. Latika Latika had had 240 240 beads. beads. She She gavegave 11

6

6 of the beads to of the beads to her friend and

her friend and 33

4

4 of the remainder to her sister. How of the remainder to her sister. How many beads did her sister receive?

many beads did her sister receive?

A.

A. 40 40 B. B. 5050

C.

C. 150 150 D. D. 200200

41.

41. A A story story book book costs `costs ` mm and a bag costs and a bag costs ` ` 5 more than5 more than

a storybook. Find the cost of 1 bag and 3 storybooks

in terms of

in terms of mm in the simplest form. in the simplest form.

A. A. ` ` 4 m4 m B. B. ` ` (3 + 4(3 + 4mm)) C. C. ` ` (5 + 4(5 + 4mm)) D. D. ` ` (4(4mm + + 1)1) 42.

42. Trees Trees were were planted at planted at equal distances equal distances along a along a straightstraight

road. The distance between the rst and the fth tree

is 40 m. Find the distance between the second and

the ninth tree.

A. 30 A. 30 mm B. B. 50 50 mm C. 80 C. 80 mm D. D. 70 70 mm 43.

43. Three Three children walk children walk together while together while going going to to school.school.

Their steps measure 85 cm, 90 cm and 80 cm,

respectively. At what distance from the starting point

will they again start walking together?

A. 13698 A. 13698 cmcm B. 12040 B. 12040 cmcm C. 12240 C. 12240 cmcm D. 10 D. 10 cmcm 44.

44. Ashmit buys Ashmit buys 638 chairs 638 chairs and and 132 tables 132 tables for his for his ofce.ofce.

If a chair costs

If a chair costs ` ` 1540 and a table costs 1540 and a table costs ` ` 2465, nd 2465, nd

the total money spent by him.

A. A. ` ` 10379001037900 B. B. ` ` 13079001307900 C. C. ` ` 13070901307090 D. D. ` ` 13070091307009 45.

45. The temperature at The temperature at a place a place rises from –20 rises from –20 °C to°C to

20 °C. What is the rise in temperature?

A. A. 20°C20°C B. B. 40°C40°C C. C. ––40°40°CC D. D. 80°C80°C EVERYDAY MATHEMATICS EVERYDAY MATHEMATICS