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GATE 2020:Toppers Weekly Quiz 2

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Question 1

If 137 + 276 = 435 how much is 731 + 672?

Question 2

The Laplace transform of

Question 3

The mean and variance of binomial distribution b(x: n, p) are 4 and 4/3 respectively. What is the probability of getting 2 successes?

Question 4

Two alloys A and B contain gold and copper in the ratios of 2 : 3 and 3 : 7 by mass, respectively. Equal masses of alloys A and B are melted to make an alloy C. The ratio of gold to copper in alloy C is __________.

Question 5

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

Question 6

Choose the pair of words to be placed in the 2 blanks in the given sentence so that the competed sentence becomes meaningful.
After having been close friends for more than a decade, they had a ______ last year and have not ______ each other ever since.

Question 7

The number of 3-digit numbers such that the digit 1 is never to the immediate right of 2 is

Question 8

P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12
hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?

Question 9

If F= xy2i+2x2yzj-3yz2 then curl  at (1, -1, 1) is

Question 10

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

Question 11

Match list 1 with list 2

Method-list 1 Formulae-list 2

Question 12

If then the inverse of A is

Question 13

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

Question 14

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 15

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_____
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