CDS || Elementary Mathematics || Mini Mock for CDS & Defence Exams

Question 1

Find the remainder when

is divided by 136 .

Question 2

When m is divided by 7, remainder obtained is 3. Find the remainder when m⁵+m⁴ + m³ +m² +m +1 is divided by 7.

Question 3

If

and

, then the value of

:

Question 4

Direction: In the Gradeup Mindwhizz Quiz held last month, participants were free to choose their respective areas from which they were asked questions. Out of 880 participants, 224 chose Mythology, 240 chose Science and 336 chose Sports. 64 chose both Sports and Science, 80 chose both Mythology and Sports, 40 chose Mythology and Science and 24 chose all the three areas.

The percentage of participants who did not choose any area is:

Question 5

Direction: In the Gradeup Mindwhizz Quiz held last month, participants were free to choose their respective areas from which they were asked questions. Out of 880 participants, 224 chose Mythology, 240 chose Science and 336 chose Sports. 64 chose both Sports and Science, 80 chose both Mythology and Sports, 40 chose Mythology and Science and 24 chose all the three areas.

Of those participating, the percentage who chose only one area is:

Question 6

Direction: In the Gradeup Mindwhizz Quiz held last month, participants were free to choose their respective areas from which they were asked questions. Out of 880 participants, 224 chose Mythology, 240 chose Science and 336 chose Sports. 64 chose both Sports and Science, 80 chose both Mythology and Sports, 40 chose Mythology and Science and 24 chose all the three areas.

The ratio of students choosing Sports and Science but not Mythology to Science but not Mythology and Sports is:

Question 7

A shopkeeper marked the price of a product Rs. 900 more than its cost price and announced successive discounts of 25% and 20% on the marked price, but he suffered a loss of 10%. By what percent should he increase the marked price to earn a profit of Rs. 360 at the same discount.

Question 8

If

, then find the value of

.

Question 9

A watchman on the top of a lighthouse that he is guarding standing on the beach, finds that a ship is coming towards him takes 10 minutes for the angle of depression to change from

to

. Find the time taken by the ship to reach the beach from this position.

Question 10

Solve the following inequality:

Question 11

A man bought 38 kg rice at Rs 54.50/kg, 45 kg Rice at Rs 62/kg and 55 kg Rice at Rs 48/kg. He sold the mixture of Rice at Rs 65/ kg. Find out the profit/loss percentage?

Question 12

PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. △ABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm. Then the length of the line joining the midpoints of the sides AB and BC is?

Question 13

If

for all

what is the greatest value of

?

Question 14

A and B can complete a task in 8 days. B and C can complete the task in 12 days. A,B and C can complete the task in 6 days. Then how much time A and C to complete the task?

Question 15

If 90 men can complete a work in 16 days by working 12 hours per day. Then how much work can be completed by working 24 days 8 hours by 70 men?