Gate 2021 : Toppers Weekly Quiz 5 (App update required to attempt this test) for ESE & GATE CE Exams

Question 1

Select the most appropriate word for the given group of words.

Causing no harm

Question 2

For a function

the divergence at (0.5, -2, 2) is

Question 3

Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select ‘No improvement’.

To get in the Pakistan, Rahul will disguise as a shepherd.

Question 4

How many pairs of letters are there in the word ‘SENATOR’ which have as many letters between them in the word as in the alphabetical series?

Question 5

The following equation needs to be numerically solved using the Newton-Raphson method.

The iterative equation for this purpose is (k indicates the iteration level)

Question 6

A series is given with one term missing. Select the correct alternative from the given options that will complete the series.

DG, BE, ZC, ?

Question 7

Chanda is the wife of Bharat. Mohan is the son of Chanda. Ashish is the brother of Bharat and father of Dhruv. How is Mohan related to Dhruv?

Question 8

Are you someone who likes to read novels? Surprisingly, 42% of college graduates will never read a book again after graduating college. A 2012 “Pew Internet and American Life Project” survey found that people who like to read fiction are driven by personal enrichment and described what they liked about reading saying things like: “Ilove being exposed to ideas and being able to experience so many times, places, and events.” Another person was quoted as saying, “I look at it as a mindstimulant, and it is relaxing.” Others expressed the pleasure of living vicariously through a character and having another “life of the mind.”
Identify the premise or premises on which the passage is based.

Question 9

If an error of 2% is made in measuring the sides of rectangle, then % error in calculation of its area is

Question 10

If

then value of

at t = 2

Question 11

Consider the following matrix

If the eigenvalues of A are 4 and 8, then

Question 12

The odds against an event A arc 5 : 2 and odds in favor of another independent event B are 6 : 5. The chances that neither A nor B occur is

Question 13

Select the Venn diagram that best illustrates the relationship between the following classes.

Monkey, Zebra, Camel

Question 14

There is a rectangle of length 15 cm and area 150cm². Its area is increased to

times the original area by increasing its breadth only. Find the new perimeter.

Question 15

If a random variable X is discrete, which has the following probability distribution?

Then the values of k and P(X

are respectively__________

Question 16

A solid cube is cut into four cuboids of same volumes by making 3 parallel cuts. What is the ratio of the surface area of the cube to the sum of the surface areas of any three of the cuboids formed?

Question 17

is a Partial differential equation whose solution is given by

The value of K is

Question 18

In a school there were 1680 students and ratio of the number of boys and girls was 5 : 3. After a few days, 35 girls joined the school but few boys left; as a result, the ratio of boys and girls became 8 : 7. The number of boys who left the school is –

Question 19

Question 20

Evaluate I =

dx , using trapezoidal rule_________