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# Gate 2021 : Toppers Weekly Quiz 2 (App update required to attempt this test)

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Question 1

The solution of the differential equation

Question 2

A shopkeeper allows 13% discount on the marked price of an article and makes a profit of 23%. Find the approximate marked price of article, if he gains a profit of ₹240.12.

Question 3

Select the word which means the same as the group of words given.
A small growth of trees without underbrush

Question 4

Find Minor of element “3” for given matrix [A] ________.

Question 5

Select the most appropriate antonym of the given word.
LUMINARY

Question 6

A box contains tags marked 1, 2 ....... 100. Two tags are chosen at random without replacement. The probability that the numbers on the tags will be consecutive integers is _______.

Question 7

Find the value of α for which matrix is singular?

Question 8

Munendra is flying an areoplane named Lufthansa Airlines. He flew it 300km in the east direction and took left turn and flew 700km. Again he took left turn and flew 400km. Now Munendra is flying his areoplane in which direction?

Question 9

Two equal containers are filled with a mixture of water and alcohol. One of them contains three times as much alcohol is in the other. The mixtures in the two containers are then mixed and it is found that the ratio of alcohol to water is 2 : 3. Find the ratio of alcohol to water in each of the original containers.

Question 10

The directional derivative of the function f(x, y) = x2 + y2 along a line directed from (0, 0) to (1, 1), evaluated at the point x = 1, y = 1 is

Question 11

Let where then equals

Question 12

If in a certain code language EGIM is coded as FILQ then how will OTCJ is the same code language?

Question 13

Select the option in which the words share the same relationship as that shared by the given pair of words

Wood : Termite

Question 14

If x + y = 10 then maximum value of xy is

Question 15

If a dice is thrown, ______ is the probability of occurrence of a number greater than 1, when it is known that only odd numbers can come up.

Question 16

If the determinant of the matrix  is k, then the determinant of the matrix is

Question 17

The given table represents the production of different type of Masks (in thousands) over a period of six months. Study the table carefully and answer the question that follows.

What is the percentage increase in the total production of all types of masks from January to June?

Question 18

The given table represents the production of different type of Masks (in thousands) over a period of six months. Study the table carefully and answer the question that follows.

What is the ratio of the total number of masks of type B produced in April and June to the total number of masks of type D produced in March, May and June?

Question 19

The given table represents the production of different type of Masks (in thousands) over a period of six months. Study the table carefully and answer the question that follows.

During June, the production of which type of mask was less than 25% of the total production of all types of masks in January?

Question 20

An examination consists of two papers, Paper A and Paper B . The probability of failing in Paper A is 0.45 and in paper B is 0.35. Given that the student is failed in paper B , the prob in failing in paper A is 0.7. The probability of a student failing in both the papers is?
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