Three numbers a,b and c are chosen at random (without replacement) from among the numbers 1, 2, 3, ..., 99. The probability that $a^3+b^2+c^2-3abc$ is divisible by 3 is,

1

Two person A and B agree to meet 20 april 2018 between 6pm to 7pm with understanding that they will wait no longer…

Topic: NIMCET 2018

2

The function $f(x) = \log\left(x + \sqrt{x^2 + 1}\right)$ is

Topic: NIMCET 2018

3

$6 + \log_{1/4} \dfrac{1}{\sqrt{2}} \left[ \sqrt{1 - \dfrac{1}{\sqrt{2}}} \sqrt{1 - \dfrac{1}{\sqrt{2}}} \sqrt{1 - \dfr…

Topic: NIMCET 2018

1

A and B play a game where each is asked to select a number from 1 to 25. If the two number match, both of them win a pr…

Topic: NIMCET 2018

2

The quadratic equation whose roots are $\sin^218^o$ and $\cos^236^o$  is

Topic: NIMCET 2018

3

Sum to infinity of a geometric is twice the sum of the first two terms. Then what are the possible values of common rat…

Topic: NIMCET 2018

4

Suppose that m and n are fixed numbers such that the mth term of an HP is equal to n and the nth term is equal to m, (m…

Topic: NIMCET 2018

5

If A is an invertible skew-symmetric matrix, then  is a

Topic: NIMCET 2018

6

If the mean of the squares of first n natural numbers be 11, then n is equal to?

Topic: NIMCET 2018

7

The set of points, where $f(x)=\frac{x}{1+|x|}$  is differentiable in 

Topic: NIMCET 2018

8

$\int_0^{\pi} x\, f(\sin x)\, dx$ is equal to

Topic: NIMCET 2018

9

Let $f: R \rightarrow R$ be defined by $f(x) = \begin{cases} x + 2 & \text{if } x < 0 \\ |x - 2| & \text{if } x \geq 0 …

Topic: NIMCET 2018

10

The slope of two-lines $6x^2-xy-2y^2=0$&nbsp;differ by

Topic: NIMCET 2018