List of top Mathematics Questions asked in KEAM

The first term of a G.P. is 3 and the common ratio is 2. Then the sum of first eight terms of the G.P. is

The number of 3-digit numbers that can be formed from the digits 0, 2, 3, 5, 7 is (repetition is allowed)

A set contains 9 elements. Then the number of subsets of the set which contains at most 4 clements is

The number of ways a committee of 3 women and 5 men can be formed from a panel of 8 men and 5 women is

In an A.P. the difference between the last and the first terms is 632 and the common difference is 4. Then the number of terms in the A.P. is

The value of \(\displaystyle\sum_{k=5}^{36}\frac{1}{k^2-k}\) is equal to

If the 10^th and 12^th terms of an A.P. are respectively 15 and 21, then the common difference of the A.P. is

If the first term of a G.P. is 1 and the sum of 3^rd and 5^th terms is 90, then the positive common ratio of the G.P. is

If a₁, a₂, a₃,..., an are in A. P. with a₁ = 3, an, = 39 and a₁+a₂+...+an = 210, then the value of n is equal to

The value of \(\sqrt{(- 25)} + 3\sqrt{(- 4)} + 2\sqrt{(- 9)}\) is equal to

Let t_n, n = 1,2,3,... be the n^th term of the A.P. 5, 8, 11,.... Then the value of n for which t_n = 305 is

Let z₁, z₂ and z₃ be three distinct points in the complex plane such that the segment joining z₁ and z₂ is perpendicular to the segment joining z₁ and z₂. If |z₁-z₂|=5 and|z₁-z₃|=12 then|z₂-z₃| is equal to

Let a=2-3i be a root of the equation z²-4z+k=0 , where k is a real number. If β is the other root, then the value of α² +β² is

If z=2-i√3, then |z⁴| is equal to

The imaginary part of \(z=\frac{2+i}{3-i}\) is

The area of the triangle on the complex plane formed by the points z, z+iz and iz is 128. Then the value of |z| is

If the real part of the complex number \(z=\frac{p+2i}{p-i}\), \(p\isin\R, p\gt0\ is\ \frac{1}{2}\), then the value of p is equal to

Let f(x) = x² and \(g(x) = \sqrt{9+x}\). Then the value of \((f^\circ g-g^\circ f)(4)\) is equal to

Let f(x) = [x], x ∈ R, where [x] denotes the greatest integer ≤ x. Then the images of the elements -4.6 and 2.7 are respectively

A relation R on (0, 1, 2) is given by R = {(0,0), (1, 1), (0, 1), (2, 2), (1, 2)). Then the relation R is

Let \(f:[-4,2] \rightarrow \R\) be given by \(f(x) = \sqrt{16-x^2}\). Then the range of the function f is

Let A and B be subsets of the universal set U. If n(A) = 24 , n (A∩B)=8 and n(U) = 63, then n( A'∪B') is equal to

The function \(f\ \R\rightarrow\R\) given by f(x)=7-3x is

The constraints of a linear programming problem are x+2y≤10 and 6x+3y≤18. Which of the following points lie in the feasible region?

The area of the region bounded by y = 5x, x-axis and x = 4 is (in square units)