Time Left - 45:00 mins

GATE CS 2023 : Engineering Mathematics Revision Quiz

Attempt now to get your rank among 156 students!

Question 1

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 2

If A =

and

, then

Question 3

In how many ways can we distribute 5 distinct balls, B₁, B₂, ...., B₅ in 5 distinct cells, C₁, C₂, ..., C₅ such that ball B_i is not in cell C_i,

and each cell contains exactly one ball?

Question 4

Consider the following table:

Assume X is a random variable, The variance of the distribution is

Question 5

The value of Lim_x->∞ 1⁵+2⁵+ …….+ n⁵/n⁶ is ____.(up to 3 decimal places)

Question 6

Let X be a random variable with the following probability distribution.

Expectation of is __________.

Question 7

A function is defined over an open interval x = (1, 3). At least at one point is this interval,

is exactly :
y = 7x² + 12x

Question 8

The value of

dx = ______. (Up to 3 decimal places)

Question 9

Consider the function f (x) =

. The value of

will be __________.

Question 10Multiple Correct Options

If the matrix

is singular, then select the all possible values of x ?

Question 11

The number of linearly independent eigen vectors of the identify matrix

is ……… .

Question 12

Perform the following operations on the matrix

1) Add the third row to the second row.

2) Subtract the third column from the first column.

The determinant of the resultant matrix is ________.

Question 13

A diagnostic test has a probability 95% of giving a positive result when applied to a person suffering from a certain disease and probability 10% of giving a positive when applied to a no sufferer. It is estimated that 5% of the population are sufferers. Suppose that the test is now administered to a person about whom we have no relevant information regarding to the disease. What is the probability that given a positive result, the person is a sufferer?

Question 14

Consider Vamshi decides to toss a fair coin repeatedly until he gets a tail. He makes almost 4 tosses. The value of variance (T) is ________ (variable T denotes the number of tails).

Question 15

The number of satellites launched worldwide in a month follows Poisson distribution with mean as 6.The probability of launch of less than 3 satellites during a randomly selected month is ________. (Up to 2 decimal places)

156 attempts
1 upvote
1 comment

Tags :

GATE & PSU CS Engineering Mathematics

Jun 16GATE & PSU CS