A man is known to speak the truth 2 out of 3 times. He threw a dice cube with 1 to 6 on its faces and reports that it is 1. Then the probability that it is actually 1 is

1

In an entrance test there are multiple choice questions, with four possible answer to each question of which one is cor…

Topic: NIMCET 2017

2

The harmonic mean of two numbers is 4. Their arithmetic mean A and the geometric mean G satisfy the relation 2A+G2…

Topic: NIMCET 2017

3

A and B are independent witness in a case. The chance that A speaks truth is x and B speaks truth is y. If A and B agre…

Topic: NIMCET 2017

1

Let A and B be two events such that  ,  and  where  stands for the complement o…

Topic: NIMCET 2017

2

The mean and variance of a random variable X having binomial distribution are 4 and 2 respectively. The P(X = 1) is

Topic: NIMCET 2017

3

If  is the mean of distribution of x, then usual notation  is

Topic: NIMCET 2017

4

If E1 and E2 are two events associated with a random experiment such that P (E2) = 0.35, P (E1 or E2) = …

Topic: NIMCET 2017

5

Find a matrix X such that 2A + B + X = 0, whose A =  and B = 

Topic: NIMCET 2017

6

If in a triangle ABC, the altitudes from the vertices A, B, C on opposite sides are in HP, then sin A, sin B, sin C are…

Topic: NIMCET 2017

7

α, β are the roots of the an equation $x^2- 2x cosθ + 1 = 0$, then the equation having roots αn and…

Topic: NIMCET 2017

8

The equation $(x-a)^3+(x-b)^3+(x-c)^3=0$ has

Topic: NIMCET 2017

9

Three positive number whose sum is 21 are in arithmetic progression. If 2, 2, 14 are added to them respectively then re…

Topic: NIMCET 2017

10

If  +  =  , then 

Topic: NIMCET 2017