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GATE 2020: Topper's Weekly Quiz-1 (App update required to attempt this test)

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Question 1

For the matrix

the Eigen values of A^-1 are

Question 2

The following table shows the percentage distribution of students in various disciplines from five different colleges.

What is the average number of students from the science discipline of all the colleges taken together?

Question 3

Let x be a real-valued random variable with

denoting the mean values of X and X², respectively. The relation which always holds true is

Question 4

If a nine-digit number 675x8348y is divisible by 72, then the value of

will be:

Question 5

Which one of the following functions is analytic over the entire complex plane?

Question 6

The difference between the compound interest and simple interest on Rs. x at 12% per annum for 2 years is Rs. 18. What is the value of x?

Question 7

The number of hardware failures of a computer system in a week of operation has the following pmf :

Find the mean no. of failures in a week

Question 8

In ∆ ABC, AB = 12 cm, AC = 14 cm and BC = 18 cm. The length of median AD (in cm) is:

Question 9

A function is defined as shown in the table below

Find the value of integral using Trapezoidal rule method

Question 10

Consider a system of linear equations:
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The value of k for which the system has infinitely many solution is ____________.

Question 11

The price of sugar is increased by 17%. A person wants to increase his expenditure by 7% only. By what percentage, correct to one decimal place, should he reduce his consumption?

Question 12

The directional directive of 4x²y + z³ at (1, 2, 1) in the direction of