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Frequently Asked IIT-JEE Latest Exam Pattern - IIT-JEE Sample Question with Solutions

(#M40027776) IIT-JEE QUESTION 2011 question Keep an EYE

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with
a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the
main scale is 2.5 mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a
relative error of 2 %, the relative percentage error in the density is
(A) 0.9 % (B) 2.4 %
(C) 3.1 % (D) 4.2 %

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(#M40028091) IIT-JEE QUESTION Mental Ability Keep an EYE

A 4.0 molar aqueous solution of NaCl is prepared and 500 mL of this solution is electrolysed. This leads to the evolution of
chlorine gas at one of the electrodes (atomic mass: Na = 23, Hg = 200; 1 Faraday=96500 coulombs)


The total number of moles of chlorine gas evolved is
(A) 0.5 (B) 1.0
(C) 2.0 (D) 3.0

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(#M40027948) IIT-JEE QUESTION 2012 question Keep an EYE

The carboxyl functional group (– COOH) is present in
(A) picric acid (B) barbituric acid
(C) ascorbic acid (D) aspirin

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(#M40027753) IIT-JEE QUESTION Physics Keep an EYE

A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/hr towards a tall
building which reflects the sound waves. The speed of sound in air is 320 m/s. The frequency of the siren
heard by the car driver is
(A) 8.50 kHz (B) 8.25 kHz
(C) 7.75 kHz (D) 7.50 kHZ

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(#M40027922) IIT-JEE QUESTION 2010 question Keep an EYE

A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the
mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image is
(A) virtual and at a distance of 16 cm from the mirror
(B) real and at a distance of 16 cm from the mirror
(C) virtual and at a distance of 20 cm from the mirror
(D) real and at a distance of 20 cm from the mirror.

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(#M40028130) IIT-JEE QUESTION 2007 Question Keep an EYE

Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% and 5% respectively, the atomic
mass of Fe is
(A) 55.85 (B) 55.95
(C) 55.75 (D) 56.05

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(#M40017966) IIT-JEE QUESTION Arithmetic Progression Keep an EYE

The angles of a quadrilateral are in A.P. and the greatest angle is 120 degree. Express the angles in radians.

Asked In IIT-JEE Nirnoy Nimesh Behera (7 years ago)

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(#M40027766) IIT-JEE QUESTION 2011 question Keep an EYE

The freezing point (in oC) of a solution containing 0.1 g of K3[Fe(CN)6 (Mol. Wt. 329) in 100 g of water
(Kf = 1.86 K kg mol-1) is

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(#M40028013) IIT-JEE QUESTION 2012 Question Keep an EYE

Among the following compounds, the most acidic is
option
(A) p-nitrophenol
(B) p-hydroxybenzoic acid
(C) o-hydroxybenzoic acid
(D) p-toluic acid.

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(#M40027904) IIT-JEE QUESTION 2010 question Keep an EYE

A piece of ice (heat capacity = 2100 J kg–1 º C–1 and latent heat = 3.36 × 105 J kg–1) of mass m grams is at –
5ºC at atmospheric pressure. It is given 420 J of heat so that the ice starts melting. Finally when the ice–
water mixture is in equilibrium, it is found that 1 gm of ice has melted. Assuming there is no other heat
exchange in the process, the value of m is

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