Question 1

Which of the following numbers is the greatest (arrange in descending order)

Question 2

Say there are infinite people standing in a line with glasses of water. The first person has 1 full glass of water. The 2nd person's is half full, and the 3rd person is filled one-fourth, so on, such that each person in the line has half the water as the previous. You are drinking water from each of these people's glasses.

How much water can I give you and safely say, "No matter how many people you drink water from, this water that I am giving you will be more in quantity than that?"

Question 3

Find the next number in the series

1, 2, 3, 5, 8, 13, ?

Accepted Answer

21

Answer

22

Answer

23

Answer

20

Question 4

Assume person A can finish a task in 4 hours, and person B can finish the same task in 2 hours. If they can work together in such a way that they do not hamper or speed up the process for the other person, what is the time taken by them to finish the task when working together?

Accepted Answer

1 hour 20 minutes

Answer

1 hour

Answer

1 hour 30 minutes

Answer

1 hour 15 minutes

Question 5

A horse is pulling a cart. In order to move, on what does the horse voluntarily apply force?

Accepted Answer

The ground

Answer

The person riding the horse

Answer

The cart

Answer

None of the above

Question 6

A man has 18 coins, each of value either 2 or 5 units. If the total value of the coins he has is 39, then the difference of the number of coins of each denomination is?

Accepted Answer

16

Question 7

If a man walks from a point 7m in a direction, then 3m after turning left, 13m after turning left, and finally 5m after turning right, how far is he from where he started?

Accepted Answer

10m

Answer

18m

Answer

12m

Answer

4m

Question 8

Let x and y be the ages on 31st December, 2026 of two brothers, A and B, respectively. If B's age was 5 years more than A's last to last year, and B's age was double A's age on 31st December, 2021, then

(2x-20)²+(y-10)²=?

Accepted Answer

25

Question 9

Arrange in decreasing order

Question 10

A cube is cut into 27 identical smaller cubes. If before it is cut, the exterior is painted, then how many smaller cubes will be painted on exactly three sides?

Accepted Answer

8

Question 11

There is a right angled cylinder standing on a flat side and a rectangle is placed vertically on an edge such that both of their heights are same, and we consider the area of the curved surface of the cylinder to be equal to the area of the rectangle. If the height is twice the radius for the cylinder, and the ratio of the length of the rectangle to the radius of the cylinder is given by $n\pi$ , then the value of n is?

Accepted Answer

2

Question 12

What is the minimum possible radius of a circle passing through (1,3) and (7,11)?

Accepted Answer

5

Question 13

Find the next number in the series

2, 5, 10, 17, 26, ?

Accepted Answer

37

Answer

36

Answer

39

Answer

38

Question 14

On a cylinder of height 4cm and radius $n\pi$ cm, a large paper is placed to cover it and the part covering the curved surface area of the cylinder is cut out. If the remaining area of the paper on the cylinder is $100cm^2$ , what was the original area of the paper (in $cm^2$ )?

Accepted Answer

Answer

Answer

Answer

Question 15

What is the magnitude of the difference of the roots which are not common for the equations $n\pi$ and $100cm^2$ ?

Accepted Answer

0.5

Answer

1.5

Answer

4.5

Answer

4

Question 16

$108cm^2$ is always greater than $a^2+b^2$

Accepted Answer

false

Answer

true

Question 17

What is the difference between $n\pi$ and $100cm^2$ ?

(Hint: Use algebraic identities)

Accepted Answer

99

Question 18

There are two mirrors at an angle $n\pi$ to each other. You are standing on the angle bisector of the two mirrors. If you raise your right hand, then the number of images raising their right hand and left hand respectively are

Accepted Answer

2&#44; 3

Answer

1&#44; 4

Answer

3&#44; 2

Answer

0&#44; 5