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BARC 2019 Nuclear Quiz-1 (Engg Maths)

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Question 1

Consider the table given below

Then the arithmetic mean of the marks given below would be,

Question 2

If then the sum of eigen values of A³ is _____ .

Question 3

The function, f(x)=2x³-3x²-36x+10, has a local maximum value at ‘x’ equals to.

Question 4

The value of

Question 5

Consider the following system of equation:

Let S1 and S2 be two statement regarding the above system of equation:

S1: if m>n, than system is surely going to have unique solution.

S2: If m<n, system will surely have infinite no of solution.

Which of the following is correct?

Question 6

Find the value of x in the matrix A^-1 for the following matrix A and A^-1.

and

Question 7

What is the probability that divisor of 10⁹⁹ is a multiple of 10⁹⁶?

Question 8

Seven (distinct) car accidents occurred in a week. What is the probability that they all occurred on the same day?

Question 9

For each element in a set of size 2n, an unbiased coin is tossed. The 2n coin tosses are independent. An element is chosen if the corresponding coin toss were head. The probability that exactly n elements are chosen is:

Question 10

Each of the nine words in the sentence ”The quick brown fox jumps over the lazy dog” is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The expected length of the word drawn is _____________. (The answer should be rounded to one decimal place.)

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GATE & PSU CS Engineering Mathematics

Dec 28GATE & PSU CS