# CDS Questions

5/9 th part of the population in a village are males. If 30% of the males are married, the percentage of unmarried females in the total population is

1. 20 2/9
2. 27 2/9
3. 27 7/9
4. 29 2/9

If a% of a + b% of b = 2% of ab, then what percent of a is b?

1. 50%
2. 75%
3. 100%
4. Cannot be determined

The difference between compound interest and the simple interest at the same rate of interest R percent per annum on an amount of Rs. 15,000 for two years is Rs. 96. What is the value of R?

1. 8
2. 10
3. 12
4. Cannot be determined due to insufficient data

What is the least number of complete years in which a sum of money at 20% compound interest will be more than doubled?

1. 4
2. 5
3. 6
4. 7

There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest on Rs. 12,000 after 3 years at the same rate of interest?

1. Rs. 6,240
2. Rs. 2,160
3. Rs. 3,972
4. Rs. 3,120

A sum of money on compound interest amounts to Rs. 9680 in 2 yr and Rs. 10648 in 3 yr. What is the rate of interest per annum?

1. 5%
2. 10%
3. 15%
4. 20%

A sum of money becomes 3 times in 5 years at simple interest. In how many years will the same sum become 6 times at the same rate of simple interest?

1. 10.5 years
2. 12 years
3. 12.5 years
4. 10 years

The principal on which a simple interest of Rs. 55 will be obtained after 9 months at the rate of 3⅔% per annum is

1. Rs. 1000
2. Rs. 1500
3. Rs. 2000
4. Rs. 2500

A certain sum at simple interest amounts to Rs.1350 in 5 years and to Rs.1620 in 8 years. What is the sum?

1. Rs.900
2. Rs.800
3. Rs.700
4. Rs.1000

What is the compound interest on ₹1600 at 25% per annum of 2 year compounded annually

1. ₹ 900
2. ₹ 800
3. ₹ 750
4. ₹ 700

An automobile financer claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging the interest at the rate of 10%, the effective rate of interest becomes:

1. 11%
2. 10.75%
3. 10.5%
4. 10.25%

The difference between the simple and the compound interest on a certain sum of money at 4% per annum in 2 years is Rs. 10. What is the sum?

1. Rs. 5,500
2. Rs. 6,000
3. Rs. 6,250
4. Rs. 7,500

A merchant earns a profit of 20% by selling a basket containing 80 apples which cost Rs 240 but he gives one-fourth of it to his friend at cost price and sells the remaining apples. In order to earn the same profit, at what price must he sell each apple?

1. Rs. 4.00
2. Rs. 3.60
3. Rs. 3.00
4. Rs. 3.80

A person sold an article for Rs.136 and got 15% loss. Had he sold it for Rs.x, he would have got a profit of 15%. Which one of the following is correct?

1. 170 < x < 180
2. 160 < x < 170
3. 180 < x < 190
4. 190 < x < 200

A cloth store is offering Buy 3, Get 1 free. What is the net percentage discount being offered by the store?

1. 20%
2. 25%
3. 30%
4. 33.33%

A person selling an article for Rs. 96 finds that his loss percent is one-fourth of the amount of rupees that he paid for the article. What can be the cost price?

1. Rs. 160 only
2. Rs. 240 only
3. Rs. 160 or Rs. 240
4. Neither Rs. 160 nor Rs. 240

A person sold an article for Rs. 3600 and got a profit of 20%. Had he sold the article for Rs. 3150, how much profit would he have got?

1. 10%
2. 6%
3. 5%
4. 4%

A man sold two watches, each for Rs. 495. If he gained 10% on one watch and suffered a loss of 10% on the other, then what is the loss or gain percentage in the transaction?

1. No gain, no loss
2. 1% gain
3. (100/99)% loss
4. 1% loss

A man buys a television set which lists for Rs 5000 at 10% discount. He gets an additional 2% discount (after the first discount) for paying cash. What does he actually pay for the set?

1. Rs. 4000
2. Rs. 4400
3. Rs. 4410
4. Rs. 4500

On a 20% discount sale, an article costs Rs. 596. What was the original price of the article?

1. Rs. 720
2. Rs. 775
3. Rs. 745
4. Rs. 735

A fruit-seller buys lemons at 2 for a rupee and sells them at 5 three rupees. What is his gain percent?

1. 10%
2. 15%
3. 20%
4. 25%

Rajendra bought a mobile with 25% discount on the selling price. If the mobile cost him Rs. 4,875, what is the original selling price of the mobile?

1. Rs. 6,300
2. Rs. 6,400
3. Rs. 6,500
4. Rs. 6,600

If a + b = 5 and ab = 6, then what is the value of a3+ b3?

1. 35
2. 40
3. 90
4. 125

If 15 men can complete a work in 16 days. If 24 men are employed, then the time required to complete that work will be

1. 7 days
2. 8 days
3. 10 days
4. 12 days

It takes 3 hours to fill a tank but due to a leakage it takes 4 hours. How long would the leak take to empty a full tank?

1. 18 hours
2. 16 hours
3. 12 hours
4. 10 hours

Pipe A can fill a tank in 3 hours. But there is a leakage also, due to which it takes 3.5 hours, for the tank to be filled. How much time will the leakage take in emptying the tank if the tank is filled initially?

1. 10.5 hours
2. 18 hours
3. 20 hours
4. 21 hours

18 men can earn ₹ 360 in 5 days. How much money will 15 men earn in 9 days?

1. ₹ 540
2. ₹ 360
3. ₹ 480
4. ₹ 600

If 10 persons can dig 8 feet trench in 12 days, then how many days will 8 persons take to dig 6 feet trench?

1. 10 days
2. 10.25 days
3. 11 days
4. 11.25 days

X can complete a job in 12 days. If X and Y work together, they can complete the job in 6⅔ days. Y alone can complete the job in

1. 10 days
2. 12 days
3. 15 days
4. 18 days

20 workers working for five hours per day complete a work in 10 days. If 25 workers are employed to work 10 hours per day, what is the time required to complete the work?

1. 4 days
2. 5 days
3. 6 days
4. 8 days

76 ladies complete a job in 33 days. Due to some reason some ladies did not join the work and therefore it was completed in 44 days. The number of ladies who did not report for the work is

1. 17
2. 18
3. 19
4. 20

A can do a piece of work in 4 days and B can complete the same work in 12 days. What is the number of days required to do the same work together.

1. 2 days
2. 3 days
3. 4 days
4. 5 days

4 goats or 6 sheep can graze a field in 50 days. 2 goats and 9 sheep can graze a field in

1. 100 days
2. 75 days
3. 50 days
4. 25 days

If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women is

1. 7½ days
2. 8 days
3. 9½ days
4. 12 days

A and B working together can finish a piece of work in 12 days while B alone can finish it in 30 days. In how many days can A alone finish the work?

1. 18 days
2. 20 days
3. 24 days
4. 25 days

If 15 men take 21 days of 8 hours each to do a piece of work, then what is the number of days of 6 hours each that 21 women would take, if 3 women would do as much work as 2 men?

1. 18
2. 20
3. 25
4. 30

If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then what is the ratio of the distances travelled by them in one hour?

1. 4 : 5
2. 1 : 2
3. 8 : 5
4. 5 : 8

A person can walk a certain distance and drive back in six hours. He can also walk both ways in 10 hours. How much time will he take to drive both ways?

1. Two hours
2. Two and a half hours
3. Four hours
4. Five and a half hours

A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. if the thief is 100 m ahead of the policeman, then the time required for the policeman to catch the thief will be

1. 6 min
2. 3 min
3. 2 min
4. 4 min

A car is traveling at a constant rate of 45 km/h. The distance traveled by the car from 10:40 am to 1:00 pm is

1. 105 km
2. 120 km
3. 150 km
4. 165 km

A person travels a certain distance at 3 km/h and reaches 15 min late. If he travels at 4 km/h, he reaches 15 min earlier. The distance he has to travel is

1. 4.5 km
2. 6 km
3. 7.2 km
4. 12 km

A train running at the speed of 72 km/h goes past a pole in 15 s. What is the length of the train?

1. 350 m
2. 300 m
3. 200 m
4. 150 m

A wheel of radius 2.1 m of a vehicle makes 75 revolutions in 1 min. What is the speed of the vehicle?

1. 59.4 km/h
2. 78 km/h
3. 37.4 km/h
4. 35.4 km/h

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at a speed of 10 km/h and 11 km/h respectively. What is the distance between them after 6 minutes.

1. 100 m
2. 120 m
3. 150 m
4. 160 m

A car travels first one-third of a certain distance with a speed of 10 km/hr, the next one-third of the distance with the speed of 20 km/hr and the last one-third distance with a speed of 60 km/hr. The average speed of the car for the whole journey is

1. 18 km/hr
2. 24 km/hr
3. 30 km/hr
4. 36 km/hr

A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 8 km/hour and that of the policeman is 10 km/hour, then how far will the thief have to run before he is overtaken?

1. 200 m
2. 300 m
3. 400 m
4. 500 m

A 225 m long train is running at a speed of 30 km/hour. How much time does it take to cross a man running at 3 km/hour in the same direction?

1. 40 seconds
2. 30 seconds
3. 25 seconds
4. 15 seconds

A passenger train departs from Delhi at 6 pm for Mumbai. At 9 pm, an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains meet each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?

1. 4 p.m.
2. 2 a.m
3. 12 midnight
4. 6 a.m.

In a 100 m race, A runs at a speed of 5/3 m/s. If A gives a start of 4 m to B and still beats him by 12 seconds, what is the speed of B?

1. 5/4 m/s
2. 7/5 m/s
3. 4/3 m/s
4. 6/5 m/s

Two glasses of equal volume are respectively half and three-fourths filled with milk. They are then filled to the brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel?

1. 5:3
2. 1:3
3. 3:2
4. 2:3