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GATE 2021 : Toppers Weekly Quiz 4 (App update required to attempt this test)

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Question 1

Find the remainder of

Question 2

Convert binary 1101111 to decimal:

Question 3

The ratio between the speeds of two trains is 2 : 5. If the first train covers 350 km in 5 hours, then the speed (in km/h) of the second train is:

Question 4

Direction: Study the following graph carefully and answer the question given below it.

The given below line graph shows the number of units (in lakhs) manufactured and sold by a company over the six years.

What is the difference between the number of unsold units of the company in the year 2007 and the number of unsold units of the company in the year 2008?

Question 5

Direction: Study the data carefully and answer the following questions:

Bar graph given below shows the time taken by two trains in hr, on different days.

Note: Each Train covers 450km distance on every day

Speed of train ‘X’ on Tuesday is what percent more than speed of train ‘Y’ on Monday?

Question 6

Find the coefficient of z in the Laurent's series expansions of

in the region, 1 < |z| < 2

Question 7

The area (in percentage) under standard normal distribution curve of random variable Z within limits from -3 to +3 is ____

Question 8

Let X be a binomial random variable with n = 72 and

. Using normal approximation to binomial distribution, an approximate value of P(22 ≤ x ≤ 28) is:

Take P[-0.5 ≤ Z ≤ 0] = 0.1919

P[0 ≤ Z ≤ 1] = 0.3413

Question 9

If c is the portion of y = e^2x from x = 0 to x = 2, so the value of

Question 10

The value of integral

where c is the curve x²+y²=1 and z=y² is

Question 11

A person goes out home and returns after sometime. He notices during his absence clock’s minute hand rotates 288⁰. How much does clock’s hour hand rotate in that duration?

Question 12

Which year has the same calendar as 2015?

Question 13

Two numbers are in the ratio 5 : 7. If the first number is 20, then the second number will be:

Question 14

The bike fare and car fare to Vaishali Nagar from Lalkothi were Rs.231 and Rs.342, respectively. The car fare has been increased in the ratio 9 : 11 and the bike fare has been increased in the ratio 7 : 9. The ratio of new car fare to new bike fare is

Question 15

If Rs. 14000 is distributed among A, B, C and D such that A will get