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GATE 2021: Topper's Weekly Quiz-2

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Question 1

Directions: Read the following information carefully and answer the questions that follow:
The bar graph given below shows the percentage distribution of the total expenditures of a company under various expense heads during 2013.
Percentage Distribution of Total Expenditure of a Company
https://www.indiabix.com/_files/images/data-interpretation/bar-charts/15-1-6-1.png
The total amount of expenditure of the company is how many times of the expenditure on Advertisements?

Question 2

Evaluate the integral

Question 3

In the following question, out of the four alternatives, select the word similar in meaning to the word given.
QUERULOUS

Question 4

Numbers of boys and girls are 'x' and 'y' respectively; ages of one girl and one boy are 'a' years and 'b' years respectively. The average age (in years) of all the boys and girls collectively is-

Question 5

Select the most appropriate synonym of the given word.

Solicit

Question 6

Direction: The bar graph given below shows the sales of pens (in thousand number) from six branches of a company during two consecutive years 2009 and 2010.
Sales of Pens (in thousand numbers) from Six Branches - B1, B2, B3, B4, B5 and B6 of a company in 2009 and 2010.
What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for both years?

Question 7

The product of the ages of Ankita and Sunita is 240. If twice the age of Sunita is more than Ankita’s age by 4 years. What is Sunita’s age?

Question 8

From the solution to the initial value problem:. If y(1) =1 then pick the closest estimate of y(2).

Question 9

In the following question, a sentence is given with a blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
The little boy ran ____ fast that he was ____ for breath.

Question 10

Assuming i=√-1 and t is a real number,    is _________.

Question 11

The integral , where ‘D’ denotes the disc x2 + y2 4, evaluate to _______.

Question 12

A man had 7 children. When their average age was 12, a child aged 6 years died. The average age of the remaining six children is:

Question 13

Find the number of linearly independent rows for the following given matrix

Question 14

Fill in the blank with the most appropriate choice.
Rahul was _______ with a natural talent for painting.

Question 15

Consider the following equations:

3x – y – z = 2 
3x + y – z = –2
12x + 3y – 4z = –6


The above system of equations will be______.

Question 16

The value of integral where C is the circle |z| = 1, will be_________.

Question 17

The difference between squares of two consecutive odd integer is always divisible by.

Question 18

Question 19

Question 20

The value of  is_______.
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Dec 15ESE & GATE EC