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# GATE 2021 : Toppers Weekly Quiz 3 (App update required to attempt this test)

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Question 1

Find the determinant of ?

Question 2

A can do a work in 6 days and B in 9 days. How many days will both take together to complete the work?

Question 3

How many solutions does the following system of linear equations have?
-x + 5y = -1
x - y = 2
x + 3y = 3

Question 4

Two numbers are respectively % and 25% more than a third number. The first number is how much per cent of the second number?

Question 5

The velocity V (m/s) of a car at a distance ‘s’ from a point on its path is given by the table: The time taken in second (s) to travel 60m by using Simpson’s 1/3 rule is:

Question 6

Choose the most appropriate meaning of the given idioms and phrases.

A pipe dream

Question 7

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

Question 8

Determine the value of ; if the given matrix _________.

Question 9

What is the value of ?

Question 10

Choose the most appropriate meaning of the given idioms and phrases.

Red in the face

Question 11

For matrix the eigen value corresponding to the eigen vector [ ] is

Question 12

A shopkeeper purchased 150 identical places of radio at the rate of Rs. 250 each. He spent an amount of Rs. 2500 on transport and packing. He fixed the label price of each radio at Rs. 320. However, he decided to give a discount of 5% on the labeled price. What is the per cent profit earned by him?

Question 13

Consider two bags having black & blue balls. One bag has 2 black & 4 white balls, whereas the other has 5 black & 3 white ball. If one ball is drawn from each bag, Calculate the probability that one of the ball is black & the other one is white.

Question 14

If bought two old scooters for ₹9000. By selling one at a profit 25% and the other at a loss of 20%, to neither gain nor loses. The cost of each scooter is

Question 15

A and B can do a job in 6 and 12 days respectively. They began the work together but A leaves after 3 days. Then, the total number, of days needed for the completion of the work is

Question 16

Evaluate where where bounding the region x2+y2= 9, z= 0 & z=2

Question 17

Let I be a 100-dimensional identity matrix and E be the set of its distinct (no value appears more than once in E) real eigenvalues. The number of elements in E is _________.

Question 18

There are 65 students in a class, Rs. 78 are distributed among them so that each boy gets Rs. 1.6 and each girls Rs. 0.60. Find the numbers of boys and girls in the class.

Question 19

Roshan lent some amount to Vikas at 12% yearly compounded interest rate and Vikash lent same amount to Anuj at 15% simple interest rate. If after two years Vikash got a profit of Rs 912 then what is the original amount Roshan lent to Vikas?

Question 20

The degree of differential equation is:
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