(screening test) - reliable kota · 2020. 6. 9. · no. of questions type kvpy (screening test)...

This booklet containing 25 questions, Mathematics (1 to 10), Physics (11 to 15),Chemistry (16 to 20), Mental Ability (21 to 25), each question carry 4 mark.

GENERAL INSTRUCTIONS

Duration : 1 Hour Max. Marks : 100

DATE : 07/06/2020

MARKING CRITERIA

Correct Incorrect Blank

1-25 Only one correct Q.No. 1 to 25 (4 Marks each) (-1 Mark) 0

MarksNo. of Questions Type

KVPY(Screening Test)

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1. MATHEMATICS

Straight Objective Type

This section contains (1-10) multiple choice questions. Each question has choices (1), (2), (3) and

(4) out of which ONLY ONE is correct.

(1-10) 4 (1), (2), (3) (4)

1. ABC is an equilateral triangle (shown in figure). D is some point on BC. IF DE = 3 and DF = 7 find

the length of altitude form A to BC.

ABC BC D DE = 3

DF = 7 A BC

(1) 10 (2) 8 (3) 6 (4) 11

2. In the figure, AB || DC, AD > BC, and DC : AB = k, where k>1. The ratio (AD2 – BC

2) :(DB

2 – AC

2)

is :

AB || DC, AD > BC, DC : AB = k, k>1. (AD2 – BC

2) : (DB

2 – AC

2)

:

A B

CD

(1) 1k1 (2) 1–k

1k (3) 1k

1–k (4) 1k

1k2

2

3. In a triangle ABC, medians AD and BE are drawn. If AD = 4, DAB = 6

and ABE = 3

, then

the area of the ABC is :

ABC AD BE AD = 4, DAB = 6

ABE = 3

ABC :

(1) 38

(2) 316

(3) 33

32(4) 3

64.



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4. The three different face diagonals of a cuboid (rectangular parallelopiped) have lengths 39, 40, 41.

The length of the main diagonal of the cuboid which joins a pair of opposite corners :

39, 40, 41

(1) 49 (2) 249 (3) 60 (4) 260

5. The trigonometric expression : cot2

sin1

1–sec+ sec

2

sec1

1–sin has the value :

cot2

sin1

1–sec+ sec

2

sec1

1–sin

(1) –1 (2) 0 (3) 1 (4) 2

6. If 3x + 3y – 1, 4x2 + y – 5, 4x + 2y are the sides of an equilateral triangle, its area is closest to the

integer

3x + 3y – 1, 4x2 + y – 5, 4x + 2y

(1) 84 (2) 85 (3) 86 (4) 87

7. If x3 = a + 1 and x + (b/x) = a ; then x equals

x3 = a + 1 x + (b/x) = a ; x

(1)

b–a1ba

2

(2) b–a1ab

2

(3) b–a

1aab2

(4)

b–a1–a–ab

2

8. Which of the following can be expressed as the sum of square of two positive integers, as well as three

positive integers ?

(1) 75 (2) 192 (3) 250 (4) 100

9. The side of a triangle are of length 20, 21 and 29 units. The sum of the lengths of altitude will be

20, 21 29

(1) 291609

unit (2) 49 unit (3) 21

1609 unit (4) 40 unit

(1) 291609

(2) 49 (3) 21

1609 (4) 40

10. In how many ways can given square be cut into two congruent trapezium.

(1) Exactly 4 (2) Exactly 8 (3) Exactly 12 (4) More than 12

(1) 4 (2) 8 (3) 12 (4) 12



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2. PHYSICS


This section contains (11-15) multiple choice questions. Each question has choices (1), (2), (3)

and (4) out of which ONLY ONE is correct.

(11-15) 4 (1), (2), (3) (4)

11. An electric iron draws a current of 15 A from a 220 V supply. What is the cost of using iron for 30 min

everyday for 15 days if the cost of unit (1 unit = 1 kWhr) is 2 rupees ?

(1) Rs 49.5 (2) Rs. 60 (3) Rs. 40 (4) Rs. 10

220 V 15 A 1 = 1kWhr)

15 30

(1) 49.5 (2) 60 (3) 40 (4) 10

12. The radioactive isotope of phosphorus 15

P30

changes to stable 14

Si30

through :

(1) alpha emission (2) gamma emission (3) neutron emission (4) positron emission

15P

30

14Si

30

(1) (2) (3) (4)

13. Two different sources of light A and B have wavelength 0.7 m and 0.3 m respectively. Then which

of the following statement is true :

(1) A has greater energy than B (2) B has greater energy than A

(3) Both has equal energy (4) None of the above

A B 0.7 m 0.3 m

(1) A B (2) B A

(3) (4)

14. Three equal resistors connected in series across a source of emf dissipate 10 watts of power. What will

be the power dissipated in watts if the same resistors are connected in parallel across the same source

of emf ?

10

(e.m.f. ):

(1) 10 W (2) 30 W (3) 90 W (4) 3

10

15. When a current of 2A flows in a wire, energy of 80 J is produced in 10 s. Then the resistance of wire

in ohm is:

(1) 0.5 (2) 2 (3) 4 (4) 20

2 10 80

(1) 0.5 (2) 2 (3) 4 (4) 20



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3. CHEMISTRY




(16-20) 4 (1), (2), (3) (4)

16. Methane is insoluble in -

(1) ether (2) water (3) alcohol (4) carbon tetrachloride

(1) (2) (3) (4)

17. In the reaction CH3COONa + NaOH

Heat

CaO X + Na2CO

3

product 'X' would be -

(1) CH3CHO (2) CH

3COOH (3) CH

4(4)

CH3COONa + NaOH

Heat

CaO X + Na2CO

3 'X'

(1) CH3CHO (2) CH

3COOH (3) CH

4(4) None of these

18. Select the molecule having only one pi () bond -

-

(1) CH CH (2) CH2 = CH – CHO

(3) CH3 – CH = CH

2(4) CH

3 – CH = CH – COOH

19. In electrolytic method of refining of metals,

(1) anode is made of pure metal (2) cathode is made of pure metal

(3) cathode is made of impure metal (4) anode is always made of graphite

(1) (2)

(3) (4)

20. The hydronium ions are formed in the soution of an acid because

(1) acids contain hydrogen atom.

(2) acids are highly reactive.

(3) hydronium ions are more stable.

(4) H– are not posssible

(1) (2)

(3) (4) H–



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4. MENTAL ABILITY




(21-25) 4 (1), (2), (3) (4)

Directions :(21 to 22) Find the missing term :

(21 22)

21. 6, 12, 48, 264, 1560, ?

(1) 9336 (2) 9268 (3) 9864 (4) 9432

22.

(1) 4 (2) 5 (3) 1 (4) 3

23. At what time, between 5 and 6 o’clock, do the minute and hour hand make an angle of 34º with

each other ?

(1) 11121:5 O’Clock (2)

11533:5 O’Clock

(3) Both (1) and (2) (4) None of these

5 6 34º

(1) 11121:5 (2)

11533:5 (3) (1) (2) (4)

24. In certain code, M A N G O is coded as 1 3 2 4 2 2 8 7 5, then how is F R U I T coded :

(1) 6366336100 (2) 6366333100 (3) 6366636100 (4) 6636636100

M A N G O 1 3 2 4 2 2 8 7 5, F

R U I T

(1) 6366336100 (2) 6366333100 (3) 6366636100 (4) 6636636100

25. David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute.

At the same time. Albert gets on an elevator at the 51st floor of the same building and rides down at the

rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths

cross?

(1) 19 (2) 28 (3) 30 (4) 37

(screening test) - reliable kota · 2020. 6. 9. · no. of questions type kvpy (screening test)...

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