Practice questions
88551 published questions with worked solutions.
- The number of ways, in which 16 oranges can be distributed to four children such that each child gets at least one orange, is
- Let A = 0,1,2,...,9 . Let R be a relation on A defined by (x,y) R if and only if |x-y| is a multiple of 3. Given below are two...
- If z = 3 2 + i 2 , i = -1 , then (z^ 201 - i)^8 is equal to
- If the mean and the variance of the data Class 4 - 8 8 - 12 12 - 16 16 - 20 Frequency 3 4 7 are and 19 respectively, then the...
- Let _ k=1 ^ n a_k = n^2 + n. If a_ 10 = 59 and a_6 = 7a_1 then + is equal to
- If the solution curve y = f(x) of the differential equation (x^2-4)y' - 2xy + 2x(4-x^2)^2 = 0, x > 2, passes through the point...
- The number of elements in the set S = x : x [0,100] and _0^x t^2 (x-t) ,dt = x^2 is.....
- Let A = bmatrix 0 & 2 & -3 -2 & 0 & 1 3 & -1 & 0 bmatrix and B be a matrix such that B(I - A) = I + A. Then the sum of the...
- Let S denote the set of 4-digit numbers abcd such that a > b > c > d and P denote the set of 5-digit numbers having product of...
- The internal energy of a monoatomic gas is 3nRT. One mole of helium is kept in a cylinder having internal cross section area of...
- An air bubble of volume 2.9 cm ^3 rises from the bottom of a swimming pool of 5 m deep. At the bottom of the pool water...
- Which of the following pair of nuclei are isobars of the element?
- One mole of an ideal diatomic gas expands from volume V to 2V isothermally at a temperature 27^ C and does W joule of work. If...
- A circular loop of radius 7 cm is placed in uniform magnetic field of 0.2 T directed perpendicular to plane of loop. The loop is...
- Suppose a long solenoid of 100 cm length, radius 2 cm having 500 turns per unit length, carries a current I = 10 ( t) A , where =...
- The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant k = 3 and permeability of = 2 _0,...
- A small metallic sphere of diameter 2 , mm and density 10.5 , g/cm ^3 is dropped in glycerine having viscosity 10 , Poise and...
- The average energy released per fission for the nucleus of _ 92 ^ 235 U is 190 , MeV . When all the atoms of 47 , g pure _ 92 ^...
- The size of the images of an object, formed by a thin lens are equal when the object is placed at two different positions 8 cm...
- A ball of radius r and density dropped through a viscous liquid of density and viscosity attains its terminal velocity at time t...