If E₁ and E₂ are two events associated with a random experiment such that P (E₂) = 0.35, P (E₁ or E₂) = 0.85 and P (E₁ & E₂) = 0.15 then P(E₁) is

1

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

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

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

Topic: NIMCET 2017

4

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 i…

Topic: NIMCET 2017

5

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

Topic: NIMCET 2017

6

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

7

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

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

Topic: NIMCET 2017

2

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

3

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

4

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

Topic: NIMCET 2017

5

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

6

If  +  =  , then 

Topic: NIMCET 2017

7

The value of A that satisfies the equation asinA + bcosA = c is equal to

Topic: NIMCET 2017

8

If tan x = - 3/4 and 3π/2 < x < 2π, then the value of sin2x is

Topic: NIMCET 2017

9

Find the principal value of  is

Topic: NIMCET 2017

10

If cosθ = 4/5 and cosϕ = 12/13, θ and ϕ both in the fourth quadrant, the value of cos( θ + ϕ )is

Topic: NIMCET 2017