Two person A and B agree to meet 20 april 2018 between 6pm to 7pm with understanding that they will wait no longer than 20 minutes for the other. What is the probability that they meet?

1

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

Topic: NIMCET 2018

2

$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

Three numbers a,b and c are chosen at random (without replacement) from among the numbers 1, 2, 3, ..., 99. The probabi…

Topic: NIMCET 2018

2

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

3

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

Topic: NIMCET 2018

4

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

5

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

6

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

Topic: NIMCET 2018

7

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

Topic: NIMCET 2018

8

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

Topic: NIMCET 2018

9

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

Topic: NIMCET 2018

10

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