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Frequently Asked KVPY Exam Pattern, KVPY Questions with Answers Page 30

(#M40027086) KVPY QUESTION General Ability Test Keep an EYE

Two balloons A and B containing 0.2 mole and 0.1 mole of helium at room temperature and 2.0 atm, respectively, are connected. When equilibrium is established, the final pressure of He in the system is
option
(A) 1.0 atm
(B) 1.5 atm
(C) 0.5 atm
(D) 2.0 atm

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(#M40027083) KVPY QUESTION General Ability Test Keep an EYE

A 750 W motor drivers a pump which lifts 300 litres of water per minute to a height of 6 meters. The efficiency of the motor is nearly (take acceleration due to gravity to be 10 m/s2)
option
(A) 30%
(B) 40%
(C) 50%
(D) 20%

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(#M40027079) KVPY QUESTION General Ability Test Keep an EYE

A girl standing at point P on a beach wishes to reach a point Q in the sea as quickly as possible. She can run at 6 km h1 on the beach and swim at 4 km h1 in the sea. She should take the path

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(#M40027078) KVPY QUESTION General Ability Test Keep an EYE

We sit in the room with windows open. Then
(A) air pressure on the floor of the room equals the atmospheric pressure but the air pressure on the ceiling is
negligible
(B) air pressure is nearly the same on the floor, the walls and the ceiling
(C) air pressure on the floor equals the weight of the air column inside the room (from floor to ceiling) per
unit area
(D) air pressure on the walls is zero since the weight of air acts downward

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(#M40027072) KVPY QUESTION Mental Ability Keep an EYE

A frog is presently located at the origin (0, 0) in the xy-plane. It always jumps from a point with integer coordinates to a point with integer coordinates moving a distance of 5 units in each jump. What is the minimum number of jumps required for the frog to go from (0, 0) to (0, 1)?
option
(A) 2
(B) 3
(C) 4
(D) 9

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(#M40027066) KVPY QUESTION Mental Ability Keep an EYE

The number of distinct prime divisors of the number 512^3 - 253^3 - 259^3 is

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(#M40027065) KVPY QUESTION Mental Ability Keep an EYE

Three circles each of radius 1, touch one another externally and they lie between two parallel lines. The minimum possible distance between the lines is

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(#M40027063) KVPY QUESTION Mental Ability Keep an EYE

Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x ?

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(#M40027062) KVPY QUESTION Mental Ability Keep an EYE

Let a, b, c, d be real numbers such that |a - b| = 2, |b - c| = 3, |c -d| = 4. Then the sum of all possible values of |a - d| is

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(#M40027060) KVPY QUESTION Mental Ability Keep an EYE

The number of moles of Br2 produced when two moles of potassium permanganate are treated with excess potassium bromide in aqueous acid medium is
option
(A) 1
(B) 3
(C) 2
(D) 4

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