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CDS || Elementary Mathematics || Mini Mock

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Question 1

ABC is an equilateral triangle. The side BC is trisected at D such that BC = 3 BD . What is the ratio of AD² to AB²?

Question 2

Consider the following statements :

1) The diagonals of a trapezium divide each other proportionally.

2) Any line drawn parallel to the parallel sides of a trapezium divides the non-parallel sides proportionally.

Which of the above statements is/are correct?

Question 3

If the roots of quadratic equation

are negative and reciprocal of each other. Then the correct option is-

Question 4

A big sized football of radius ‘r’ when kicked up in the air subtends an angle

at the eye of the observer, while the angle of elevation of its center is

. Find the height of the center of football.

Question 5

A string is cut into two parts such that the ratio of the lengths of the complete string and the smaller part is 20 times the ratio of the lengths of the smaller part and the larger part. Find the ratio of the length of the string and the square of the length of the smaller part if the longer part is 4cm.

Question 6

Wages for 40 women for 30 days are Rs.21,600. How many men must work for 25 days to earn Rs.14,400 if the daily wages for a man is double that of woman?

Question 7

Three taps A, B and C can together fil the tank in 3 hours. After 1 hour C is closed and the tank is filled in 4 more hours. Find the time in which C alone can fill the tank.

Question 8

A principal of Rs. 8000 is lent at 8% per annum on simple interest for 8 years, find the amount after 8 years?

Question 9

An amount was invested at a simple rate of interest p.a. for 5 years. It would have fetched Rs. 300 more had it been invested at 2% higher rate. What was the amount invested?

Question 10

Direction: The following table represents the turnover of six different firms during a period of six months (in Crores). Study the table carefully and answer the questions that follow.

What is the average of turnover of company Q in May, R in July, T in August and U in June (in crores)?

Question 11

Direction: The following table represents the turnover of six different firms during a period of six months (in Crores). Study the table carefully and answer the questions that follow.

By what percent approximately is the turnover of company P in June less than that by company S in the same month?

Question 12

Direction: The following table represents the turnover of six different firms during a period of six months (in Crores). Study the table carefully and answer the questions that follow.

What is the difference between the turnover of company Q and U together in September and company R and T together in April (in crores)?

Question 13

Direction: The following table represents the turnover of six different firms during a period of six months (in Crores). Study the table carefully and answer the questions that follow.

In which month was the total turnover of all the company’s maximum?

Question 14

If tan8θ-cot2θ=0, where 0 < 80 <

, then what is the value of tan 5θ?

Question 15

What is cosec (75^o + θ) – sec (15^o – θ) – tan (55^o + θ) + cot (35^o - θ) equal to ?

Question 16

A circular way of 2m wide around a circular well of diameter of 3 m is to be graved by cement to a depth of 20 cm. What quantity of cement (in cubic meter) are required for graving?