CDS Questions

Profit Loss L1

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

Profit Loss L1

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

Profit Loss L1

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%

Profit Loss L1

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

Profit Loss L1

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%

Profit Loss L1

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

Profit Loss L1

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

Profit Loss L1

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

Profit Loss L1

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%

Profit Loss L1

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

Polynomials L1

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

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

Time Work L1

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

Time Work L1

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

Time Work L1

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

Time Work L1

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

Time Work L1

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

Time Work L1

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

Time Work L1

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

Time Work L1

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

Time Work L1

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

Time Work L1

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

Time Work L1

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

Time Work L1

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

Time Work L1

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

Time Distance L1

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

Time Distance L1

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

Time Distance L1

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

Time Distance L1

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

Time Distance L1

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

Time Distance L1

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

Time Distance L1

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

Time Distance L1

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

Time Distance L1

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

Time Distance L1

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

Time Distance L1

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

Time Distance L1

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.

Time Distance L1

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

Ratio Proportion L1

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

Ratio Proportion L1

In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1:2. Based on the information; the total number of corns in the collection now becomes

  1. 90
  2. 80
  3. 60
  4. 50

Ratio Proportion L1 Profit Loss L1

The costs of two articles are in the ratio 3:5. If there is 30% loss on the first article and 20% gain on the second article, what is the overall percentage of loss or gain?

  1. 2% loss
  2. 2.25% gain
  3. 5.25% loss
  4. 1.25% gain

Ratio Proportion L1

Two numbers are in the ratio 3:5. If 9 is subtracted from each number, then they are in the ratio of 12:23. What is the second number?

  1. 44
  2. 55
  3. 66
  4. 77

Ratio Proportion L1

Age of X is 6 times that of Y. After 4 years, X is 4 times elder to Y. What is the present age of Y?

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

Ratio Proportion L1

In a certain school, the ratio of boys and girls is 7 : 5. If there are 2400 students in the school, then how many girls are there?

  1. 500
  2. 700
  3. 800
  4. 1000

Percentages L1 Ratio Proportion L1

The rabbit population in community A increases at 25% per year while that in community B increases at 50% per year. If the present populations of A and B are equal, what will he the ratio of the number of rabbits in community B to that in community A after 2 years?

  1. 1.44
  2. 1.72
  3. 1.90
  4. 1.26

Ratio Proportion L1 Mensuration L1

The areas of two circular fields are in the ratio 16 : 49. If the radius of the bigger field is 14 m, then what is the radius of the smaller field?

  1. 4 m
  2. 8 m
  3. 9 m
  4. 10 m

Ratio Proportion L1 Geometry L1

The angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is

  1. 20°
  2. 40°
  3. 50°
  4. 60°

Ratio Proportion L1

The ratio of two numbers is 1:5 and their product is 320. What is the difference between the squares of these two numbers?

  1. 1024
  2. 1256
  3. 1536
  4. 1640

Ratio Proportion L1

In a class of 49 students, the ratio of girls to boys is 4:3. If 4 girls leave the class, the ratio of girls to boys would be

  1. 11:7
  2. 8:7
  3. 6:5
  4. 9:8

Ratio Proportion L1

The cost of a diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio of 1:2:3:4. If the loss in total value of the diamond was the ₹ 70,000, what was the price of the original diamond?

  1. ₹ 1,00,000
  2. ₹ 1,40,000
  3. ₹ 1,50,000
  4. ₹ 1,75,000

Equations L1

A person has only Rs. 1 and Rs. 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs. 75, then the number of Rs. 1 and Rs. 2 coins are, respectively.

  1. 30 and 20
  2. 35 and 15
  3. 25 and 25
  4. 15 and 35