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BARC 2020 : Maths Nuclear Quiz 2

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Question 1

If A is 5x5 order skew symmetric matrix then maximum possible rank is

Question 2

Given a system of equations:
x + 2y + 2z = b1
5x + y + 3z = b2
Which of the following is true regarding its solutions

Question 3

The area of the region bounded by the curves and the x-axis is __________.

Question 4

Let then the smallest positive integer such that is _________.

Question 5

Find the Solution of the differential equation y``+4y`+13y=0, y (0) = 0; y`(0) =1

Question 6

Consider the following function. f(x)=x3-6x2 + 11x - 4
Find x2 using Newton-Raphson method with an initial guess of x= 0.3. (Round the answer upto two decimal places).

Question 7

A toy company produces toys with an average of 120 toys per week .Assume production of toys as a random variable, having standard deviation = 20. What will be the maximum hope that this week production will be at least 140 toys?

Question 8

The Laplace transform of cos(at) is

Question 9

If the variance of the spot speed of vehicles in highway is 96.04 (kmph)2 and mean speed of vehicles is 30 kmph the coefficient of variation in speed is

Question 10

The mean value C of Cauchy’s theorem for the functions and in the interval [2, 3] is
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