FitjeeClass 10th Going to Class 11th

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FIITJEE

Samacheer Talent Recognition Drive

CLASS - 10

(10

th

going to 11

th

)

Time: 3 Hours Maximum Marks: 300

IQ, MATHS, PHYSICS & CHEMISTRY

1. Caution: Question Paper CODE as given above MUST be correctly marked in the answer OMR sheet before attempting the paper. Wrong CODE or no CODE will give wrong results.

2. Answers have to be marked on the OMR sheet.

3. The Question Paper contains blank spaces for your rough work. No additional sheets will be provided for rough work.

4. Blank papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, in any form, are not allowed

5. Write your Name, Reg. No. and Test Centre in the space provided at the bottom of this sheet. 6. You are advised to devote around 1 Hour on each Section as there will be minimum cutoff marks in

each Section for qualifying.

7. The question paper consists of 4 Sections:

Section - I……….IQ (30 questions)

Section-II……… .Mathematics (30 questions) Section -III……...Physics (20 questions)

Section -IV……. Chemistry (20 questions).

8. Each question carries +3 marks for correct answer and -1 mark for wrong answer.

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Regional Head Quarters: : : FIITJEE TOWERS, No.3, First Lane, (Next Apex Plaza), Nungambakkam High Road, Nungambakkam, Chennai – 600 034. :

IQ

Section

Section –

–

– I

–

I

Directions: (Q.No.1 – 3 ) Find the correct alternative which has the same relationship with the term in the question as the previous pair of terms:

1. CROWN is related to ROYAL in the same way as CRUCIFIX is related to

(A)Military (B)Religion (C)Terrorism (D)Throne 2. ISLAND is related to OCEAN in the same way as OASIS is related to

(A)Desert (B)Field (C)Hills (D)Forest 3. MATHEMATICS is related to NUMEROLOGY in the same way as ASTRONOMY is related to

(A)Science (B)Astrology (C)Philosophy (D)Planets

Directions (Q.No.4 – 5) : In each of the following questions, select a figure from amongst four alternatives, which when placed in the ? of fig (X) would complete the pattern.

5.

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

Space for rough work

4.

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Regional Head Quarters: : : FIITJEE TOWERS, No.3, First Lane, (Next Apex Plaza), Nungambakkam High Road, Nungambakkam, Chennai – 600 034. : Directions (Q.No. 6 – 7) Study the given information and answer the following questions

(i) There are 6 check-posts A, B, C, D, E and F.

(ii) Check-post F is 25 kms to the North of D which is 35 kms to the North-East of B. (iii) Check-post A is 15 kms west of E and 35 kms to the south-west of ‘C’.

(iv) B, A and E are in straight line

(v) The check posts B and E are 70 kms apart form each other

6. Which check post is the farthest to the south-west of D?

(A)A (B)B (C)C (D)D 7. Which port is the nearest to the north-east of E?

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

Questions (No. 8 – 10) :

8. Unemployed youth are represented by

(A)4, 5, 6, 7 (B)6, 2, 7, 1 (C)4, 2, 5, 6 (D)4, 2, 5, 3 9. What does number 7 represent?

(A)Unemployed youth

(B)Uneducated unemployed youth (C)Educated youth in villages (D)Uneducated youth in villages 10. What does number 4 represent? (A)Educated unemployed youth (B)Uneducated youth in villages

(C)Educated employed youth

(D)Unemployed youth in village who are not educated

2 3 7 1 6 4 5 Unemployed youth Youth in villages Educated

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Regional Head Quarters: : : FIITJEE TOWERS, No.3, First Lane, (Next Apex Plaza), Nungambakkam High Road, Nungambakkam, Chennai – 600 034. : Questions (Q.No. 11 – 12) : Read the following and answer the questions that follow

In Moga city, streets and roads run east-west and alternate with each other at 1/4 kilometer intervals (i) Duncan Street is 1 kilometer north of Marlo Street

(ii) Marlo Street is 3/4 kilometer south of Ansari Road (iii) Thakur Road is 3/4 kilometer south of Marlo Street (iv) Masjid street is 1/2 kilometer south of Marlo Street 11. Which of these roads or streets is farthest from Marlo Street

(A)Duncan Street (B)Thakur Road

(C)Thakur Road and Ansari Road are equally far (D)Thakur Road and Duncan street are equally far

12. An additional road, Royal, could be in any of the following locations except

(A)1/4 km north of Duncan Street (B)1/4 km north of Marlo Street (C)1/2 km south of Ansari Road (D)1 km north of Masjid Street

Directions (Q.No. 13 – 15) : Study the following information carefully and answer the questions given below

M, K, J, T, R, D, and W are seven members of a family. There are two married couples among them belonging to two different generations. Each of them has a different choice of cuisine – Chinese, continental, Thai, Punjab, south Indian, Gujarat and Malwani. The grandfather in the family likes Gujarati food. None of the ladies likes continental or Thai food. T is son of M who likes Chinese food. W is J’s daughter-in-law and she likes south Indian food. K is grandfather of D who likes Punjabi food. J is mother of R who likes continental food.

13. How many male members are there in the family?

(A)3 (B)4 (C)3 or 4 (D)Data inadequate

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14. Which food does T like?

(A)Thai (B)Malwani (C)Gujarati (D)Data inadequate 15. Which of the following combinations represents favorite food of the two married ladies?

(A)South Indian, Punjabi (B)Punjabi, Malwani (C)Malwani, South Indian (D)Data inadequate

Directions: (Q.No.16 –17) Find the missing number in the end circle.

16. 4 6 7 8 9 4 5 6 7 8 _? 4 5 6 7 (A)3 (B)4 (C)5 (D)6 17. 10 9 16 4 1 27 36 81 49 25 ? 16 25 100 4 (A)21 (B)42 (C)64 (D)11

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Directions: (18 –19):

18. Which number is opposite to 3 ?

6

3 (I)

1

5

2 (II)

4

3

5 (III)

1

2

3 (IV)

6

(A)2 (B)3 (C)4 (D)6 19. Which number is opposite to 3?

5

4 (I)

6

2

1 (II)

4

3

6 (III)

5

4

1 (IV)

5

(A)1 (B)2 (C)4 (D)6

20. Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?

(A) 7 (B) 10 (C) 12 (D) 13 21. Look at this series: 36, 34, 30, 28, 24, ... What number should come next?

(A) 20 (B) 22 (C) 23 (D) 26

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22. Find the number of triangles in the given figure.

(A)10 (B)19 (C)21 (D)23

Directions (Q.No. 23 – 24) In each of the following questions you are given a combination of alphabets and/or numbers followed by four alternatives (1), (2), (3) and (4). Choose the alternative which is closely resembles the mirror image of the given combination.

23. Choose the alternative which is closely resembles the mirror image of the given combination.

(A)1 (B)2 (C)3 (D)4

24. Choose the alternative which is closely resembles the mirror image of the given combination.

(A)1 (B)2 (C)3 (D)4

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Directions (Q.No. 25 – 26)

P, Q, R, S, T, U, V and W are sitting round the circle and are facing the centre: 1. P is second to the right of T who is the neighbour of R and V.

2. S is not the neighbour of P. 3. V is the neighbour of U.

4. Q is not between S and W. W is not between U and S. 5. W is not the neighbour of P

25. Which of the following is correct ?

(A) P is to the immediate right of Q (B) R is between U and V (C) Q is to the immediate left of W (D) U is between W and S 26. What is the position of S ?

(A) Between U and V (B) Second to the right of P (C) To the immediate right of W (D) Data inadequate.

27. Which of the following diagrams indicates the best relation between Author, Lawyer and Singer ?

(A) (B)

(C)

(D)

28. Which of the following diagrams indicates the best relation between Judge, Thieves and Criminals ?

(A) (B)

(C) (D)

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29. Here two positions of dice are shown. If there are two dots in the bottom, then how many dots will be on the top?

(A)2 (B)3 (C)5 (D)6

30. Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?

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

Mathematics

Section

Section –

–

– I

–

I

IIIII

1. If ‘C’ is the mid point of line segment joining A (0, 0) B (4, 8) then the mid point of CB is

(A)(2, 4) (B)(3, 6) (C)(1, 2) (D)(4, 6) 2. If the point (a, 2) is equidistant form the points (8, -2) and (2, -2), find the value of a.

(A)5 (B)-5 (C)3 (D)-3 3. The centroid of a triangle is (1, 4) and two of its vertices are (4, - 3) , (-9, 7) then its third ventex is

(A)(8, 8) (B)(5, 3) (C)

(

4 ,5

)

3 3

− (D)(2, 3)

4. The co-ordinates of the point P which divides the join of A(4, –5) and B(6, 3) in the ratio 2 : 5 (A) 32 19, 7 7       (B) 19 32 , 7 7 −       (C) 32 19 , 7 7 −       (D)none of these

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5. Find the area of the triangle ABC where A(0, 0), B(0, 2) and C(2, 0).

(A)2 sq. units (B)4 sq. units (C)0 sq. units (D)3 sq. units

6. If sin θ 7 , 25 = then cot θ=? (A)24 25 (B) 7 24 (C) 25 7 (D) 24 7 7. If cos ec A= 2, sin A cos A+ =?

(A) 1

2 (B) 2 (C)

1

2 (D)2 8. If 3 tan θ 12 − =0 find the value of 'θ '

(A) 0

30 (B) 0

60 (C) 0

45 (D) 0

90

9. In a right angled triangle ABC, right angled at B, find the value of 2

1 tan A.+

(A) 2

cos A (B) 2

sec A (C)sec A (D)cos A 10. 0 0 0 0

cos1 .cos 2 .cos 3 ...cos180 =?

(A)0 (B)1 (C)– 1 (D)undefined

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11. If nth term of an A.P., is tn =5n+7, then its common difference is

(A)5 (B)4 (C)– 5 (D)– 4 12. Which term of the sequence 4, 9, 14, 19, … is 124?

(A)24 (B)25 (C)35 (D)12 13. If a, b, c, are om Arithmetic Progression then which of the following is true?

(A)2b = a + c (B) 3 a c b= + (C) 2 a c b= − (D)3b= −a c

14. Find 7th term from end of AP given as 10, 20, 30, ……….. 100

(A)30 (B)40 (C)50 (D)none of these 15. Find the 14th term from the end of the AP 5, 12, 19, …, 152.

(A)60 (B)61 (C)62 (D)63 16. Find the sum of all two digit natural numbers.

(A)4900 (B)4902 (C)4903 (D)4905 17. If n 1

n

t =3 − , then S₆−S₅ = ___________

(A)243 (B)81 (C)77 (D)27 18. If A and B are disjoint then A ∩B

(A)∅ (B)µ (C)A (D)B

19. Identity of the union of sets is

(A)∅ (B)µ (C)0 (D)A

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20. An associative law is

(A)(A∪ ∪ = ∪ ∪B) C A (B C) (B)A∪ = ∪B B A

(C)A∩ ∪(B C) (= ∩ ∪ ∩A B) (A C) (D)A− ∪(B C) (= − ∩ −A B) (A C) 21. If A = {Rectangles}, B = {Rectangles} then A∪ =B

(A){Squares} (B){Rectangles} (C){Rhombuses} (D)None 22. A △B =

(A)(A – (B)∪ (B – (A) (B)(A – (B)∩ (B – (A) (C)(A – (B)_△ (B – (A) (D)A – (A – (B)

23. If A is a square matrix of order p. The order of AB is 4 3× . What is the order of B?

(A)4 4× (B) 4 3× (C) 3 4× (D) 3 3× 24. The common ratio of G.P 1 1 1 ...

3 9 − + + is (A)1 3 (B)3 (C) 1 3 − _(D)₋₃ 25. If 2 3 1 3 , 4 5 4 4 A= B=₋− −₋      T T B A = (A) 14 24 18 32 −   ₋    (B) 14 24 18 32 − −   ₋ ₋    (C) 14 24 18 32 −    ₋    (D) 32 24 18 14 − −   ₋ ₋   

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Regional Head Quarters: : : FIITJEE TOWERS, No.3, First Lane, (Next Apex Plaza), Nungambakkam High Road, Nungambakkam, Chennai – 600 034. : 26. Find Y if X + Y = 7 0 2 5      and 3 0 . 0 3 X− =Y     (A) 2 2 1 1 −     −   (B) 2 0 1 1 −     −   (C) 2 0 1 1       (D) 1 1 1 1      

27. In ∆ ABC, if AB=6 3 cm, AC = 12 cm and BC = 6 cm, then the angle B is

(A)120 _(B)₉₀ _(C)₆₀ _(D)₄₅

28. A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. What is the length of the ladder?

(A)8.5 m (B)3.5 m (C)5.4 m (D)6.5 m

29. If D, E, F are the mid-points of sides BC, CA and AB respectively of ∆ ABC, then the ratio of the areas of triangles DEF and ABC is

(A)1 : 4 (B)1 : 2 (C)1 : 3 (D)2 : 3

30. In a ∆ ABC, perpendicular AD from A on BC meets BC at D. If BD = 8 cm, DC = 2 cm and AD = 4 cm, then (A)∆ ABD is isosceles (B)∆ ABC is equilateral

(C)AC = 2AB (D)∆ ABC is right angled at A

Physics

Section

Section –

–

– I

I

IIIIII

I

1. Two blocks of masses 2 kg and 1 kg are in contact with each other on a frictionless table. When a horizontal force of 3.0 N is applied to the block of mass 2 kg, the value of the force of contact between the two blocks is:

(A)4 N (B)3 N (C)2 N (D)1 N

2. A player takes 0.1 sec in catching a ball of mass 150 g moving with a velocity of 20 m/s. The force imparted by the ball on the hands of the player is:

(A)0.3 N (B)3 N (C)30 N (D)300 N

3. A block of 9 g rests on the table top and 6 g hangs freely, the pulley is frictionless. The acceleration of the system will be:

(A)₃₆₀_{cm s}_/ 2

(B)₄₀₀_{cm s}_/ 2

(C)₃₇₂_{cm s}_/ 2

(D)₃₈₀_{cm s}_/ 2

4. If the earth shrinks half in radius its mass remaining the same, the weight of an object on earth will change: (A)decreases by 50% (B)increases by 50%

(C)decreases by 25% (D)increases by 300%

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5. Two masses of 4 kg and 5 kg are connected by a string passing through a frictionless pulley and are kept on a frictionless table as shown below: Then acceleration of blocks is (Take 2 9.8 / g= m s ) (A)₄₉_{m s}_/ 2 _(B)_5.44_{m s}_/ 2 (C) 2 19.5m s/ (D) 2 2.72m s/ 4 kg 5 kg

6. If mass of sun would be 4 times of its present mass and distance of earth from sun would be same then the time period of one year would be

(A)same as now (B)less than its present value (C)more than its present value (D)nothing can be said 7. The equivalent resistance between points A and B

is : (A)2 R (B)3 4R (C)4 3R (D) 3 5R B R _R R R A

8. The specific resistance of a wire is ρ. Its volume is 3m3 and its resistance is 3 ohm, then its length will be (A) 1 ρ (B) 3 ρ (C) 1 3

ρ

(D) 1 3 ρ

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9. The power of a heating coil is P. It is cut into two equal parts. The power of one of them across same mains is:

(A)P (B)2P (C)4P (D)P 2

10. The force acting between two parallel current carrying conductors is F. If the current in each conductor and distance between them is doubled the value of force now is

(A)F (B)2F (C)4F (D)8F 11. Force experienced by a charge e moving with velocity v parallel to magnetic field B is

(A)Bev (B)Be/v (C)Bv/e (D)0

12. A current of 1 A flows in a wire of length 0.1 m in a magnetic field of 0.5 T. The force acting on the wire when it makes an angle of 90o with the field is

(A)zero (B)0.05 N (C)1 N (D)0.5 N 13. Two plane mirrors M₁ and M₂ each have length 1 m and are

separated by 1 cm. A ray of light is incident on one end of mirror

1

M at an angle is 0

45 . How many reflections will the ray have before going out from the other end?

(A)100 (B)101 (C)99 (D)none of these 0 45 2 M 1 M

14. For a concave mirror of focal length 20 cm, if the object is at a distance of 30 cm from the pole, then the nature of the image and magnification will be :

(A)real and -2 (B)virtual and -2 (C)real and +2 (D)virtual and +2

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15. A convex lens and a concave lens, each having same focal length of 25 cm are put in contact to form a combination of lenses. The power in diopters of the combination is:

(A)0 (B)25 (C)50 (D)infinite

16. A wind electric generator generates a current of 0.4 A across a voltage of 210 V. If efficiency of the generator is 28% then the power of the wind is___________

(A)300 W (B)200 W (C)100 W (D)840 W 17. The value of solar constant is

(A) 2

1.2kw m/ (B) 2

1.0kw m/ (C) 2

1.4kw m/ (D) 2

1.6kw m/

18. The wind pumps of 60 kg of water in every half hour upto a height of 6m. The power of windmill.

(

2

)

10

g = ms−

(A)50 w (B)0.5 w (C)2 w (D)5 w

19. The thimble of a screw gauge has 100 divisions engraved on it. If the thimble advances 2mm, when four complete rotations are given, then lease count will be :

(A)0.005 cm (B)0.0005 cm (C)0.001 cm (D)0.0001 cm 20. In a screw gauge zero of the head scale lies below the pitch scale axis, the zero error is __________.

(A)positive (B)negative (C)Nil (D)none

Chemistry

Section

Section –

Section

– I

–

I

IV

V

1. Calculate the mass of

3.011 10

×

24 atoms of carbon

(A)30 g (B)60 g (C)80 g (D)120 g

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2. The weight of 1 hydrogen atom is

(A)

1.66 10

×

−24 (b)

1.66 10

×

−27gm (C)

1.66 10

×

−24 (D)

1.66 10

×

−24kg. 3. Calculate the PH value of

8

10 N

− HCl solution.

(A)above the 7 (B)8 (C)less than 7 (D)6 4. The molecular formula of bleaching powder is

(A)CaOCl (B)Ca(OH)2 (C)CaOCl2. CaO (D)CaOCl2

5. 30 % of 100 ml Nacl Consists how much amount of the Nacl.

(A)30 g (B)17.55 g (C)16 g (D)17 g 6. Which of the following acid is present in food preservative:

(A)Malic acid (B)Oxalic acid (C)Tartaric acid (D)Acetic acid 7. When copper oxide (CuO) reacts with dilute HCl gives green colour substances of ________

(A)CuCl (B)CuCl2 (C)CuCl . H2O (D)Cu2 Cl2

8. Which of the following element is present in 15th group

(A)Antimony (B)Mercury (C)Germanium (D)Polonium. 9. Find the formula for siderite

(A)

Fe O

₂ ₃ (B)MgCO3 (C)FeCO3 (D)Cu2O

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10. The percentage of carbon present in pig iron

(A)

2 4.5%

−

(B)

0.25 4%

−

(C)

2.5 5%

−

(D)

0.25%

11. Calculate the no of Hydrogen atoms in 3g of water

(A)

200.6 10

×

21 (B)

1.003 10

×

23 (C)

1.003 10

×

22 (D)

20.06 10

×

21

12.

CH CH OH

₃ ₂

→

₅₇₃Cu ________

(A)

CH CHO H

₃

+

₂ (B)

CH COOH

₃

+

H

₂ (C)

CH COOH

₃ (D)

CH CHO

₃

13. Calculate the percentage of purities of 20 carat gold.

(A)73. 6% (B)

91.6%

(C)83.3% (D)93.5 % 14. What is the position of copernicium from the last element of the periodic table.

(A)6th period (B)7th period (C)8th period (D)9th period 15. Choose the correct sequence of the decreasing order of atomic radii of first group elements.

(A)

Li

> >

K

Rb

>

Na

(B)

Rb

> >

K

Na

>

Li

(C)

Li

>

Na

> >

K

Rb

(D)

CS

> >

Li

Rb

>

K

16. Which of the following is not a compound?

(A)Marble (B)Washing soda (C)Plaster of Paris (D)Brass 17. Which of the following scientist classified the elements based on musical notes

(A)Lavoisier (B)New land (C)Dobereiner (D)Mendeleef

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18. Molecular mass of ozone is

(A)16 u (B)32 u (C)48 u (D)64 u 19. One mole of CO2 means

(A)44 g of CO2 (B)

23

6.022 10

×

molecules of CO2

(C)22.4 L at STP (D)All of these 20. Which of the following has maximum number of atoms?

(A)18 g H2O (B)18 g of O2 (C)18 g of CO2 (D)18 g of CH4

********

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Samacheer Talent Recognition Drive

CLASS - 10

(10

th

going to 11

th

) – ANSWER KEYS

IQ

1.B 2.A 3.B 4.D 5.B 6.B 7.C 8.C 9.C 10.D 11.A 12.A 13.D 14.A 15.C 16.B 17.A 18.C 19.C 20.B 21.B 22.C 23.A 24.B 25.C 26.C 27.B 28.B 29.C 30.D

Mathematics

1.B 2.A 3.A 4.C 5.A 6.D 7.B 8.A 9.B 10.A 11.A 12.B 13.A 14.B 15.B 16.D 17.A 18.A 19.A 10.A 21.B 22.A 23.B 24.C 25.B 26.C 27.B 28.D 29.A 30.D

Physics

1.D 2.C 3.B 4.D 5.B 6.B 7.D 8.B 9.B 10.B 11.D 12.B 13.B 14.A 15.A 16.A 17.C 18.C 19.B 20.A

Chemistry

1.B 2.C 3.C 4.D 5.B 6.D 7.B 8.A 9.C 10.A 11.B 12.A 13.C 14.B 15.B 16.D 17.B 18.C 19.D 20.D