GATE ME 2021 : Toppers weekly Quiz 10 (App update required to attempt this test) for ESE & GATE ME Exams

Question 1

If F= xy²i+2x²yzj-3yz²k then curl at (1, -1, 1) is

Question 2

The value of

where

and C is the curve y² = 4x in the XY-plane from (0, 0) to (4, 4), is ____.

Question 3

Match list 1 with list 2

Method-list 1 Formulae-list 2

Question 4

If

then the inverse of A is

Question 5

The student’s _____the teacher on teachers' day for twenty years of dedicated teaching.

Question 6

Which one of the following is a property of the solutions to the Laplace equation:

Question 7

Pointing to a woman, a girl says "Her daughter-in-law is married to the only son of my husband's mother-in-law." How is the girl related to the woman?

Question 8

The prices of two articles are in the ratio
4 : 5. If the price of the first article is increased by x% and that of the other is decreased by 30%, then the new prices of A and B will be in the ratio 10 : 7. The value of x is:

Question 9

Two dices are rolled simultaneously. The probability that the sum of digit on the top surface of the two dices is even, is

Question 10

The value of the contour integral

evaluated over the unit circle |z| = 1 is _____________.

Question 11

The Venn diagram shows the preference of the student population for leisure activities.

From the data given, the number of students who like to read books or play sports is_____

Question 12

A person moving through a tuberculosis prone zone has a 50% probability of becoming infected.
However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease?

Question 13

The total number of students in section A and B of a class is 110. The number of students in section A is 10 more than that of section B. The average score of the students in B, in a test, is 20% more than that of students in A. If the average score of all the students in the class is 72, then what is the average score of the students in A?

Question 14

Expressing the complex no. 2 + 5i in polar form, determine the approximate value of angle θ.

Question 15

Possibility of Ajay clearing an exam or failing in that exam are equal. Find the probability that Ajay will clear this exam at most once in 6 trials.

Question 16

Which of the following is True for this matrix A?

Question 17

If

then the value of sec θ + tan θ is :

Question 18

A contractor undertakes a task to build a road in 60 days and employs 35 men. After 27 days, he finds that only one - third of the road is made. How many extra men should he employed so that he is able to able to complete the day 6 days earlier?

Question 19

In the following question, select the odd number from the given alternatives.

Question 20

In ∆ABC, ∠A is a right angle. The lengths of AC and BC are 6 cm and 10 cm respectively. Point D is on AB such that BD = 4 cm. What is the length of CD?