CDS Questions
A merchant earns a profit of 20% by selling a basket containing 80 apples
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?
- Rs. 4.00
- Rs. 3.60
- Rs. 3.00
- Rs. 3.80
What is the remainder when the number (4444)^4444 is divided by 9
What is the remainder when the number (4444)4444 is divided by 9?
- 4
- 6
- 7
- 8
The number of prime numbers which are less than 100 is
The number of prime numbers which are less than 100 is
- 24
- 25
- 26
- 27
The values of x which satisfy the equation 5^1+x + 5^1–x = 26 are
The values of x which satisfy the equation 51+x + 51–x = 26 are
- –1, 1
- 0, 1
- 1, 2
- –1, 0
The sum of two numbers is 143. If the greater number is divided
The sum of two numbers is 143. If the greater number is divided by the difference of the numbers, the quotient is 7. What is the difference of the two numbers?
- 9
- 11
- 14
- 15
If N, N+2 and N+4 are prime numbers
If N, N+2 and N+4 are prime numbers, then the number of possible solutions for N are
- 1
- 2
- 3
- 4
The digit in the units place of the product
The digit in the units place of the product 81×82×83×84×....×99 is
- 0
- 4
- 6
- 8
If n is a natural number, then √n is
If n is a natural number, then √n is
- always a rational number
- always a natural number
- always an irrational number
- either a natural number or an irrational number
What is the maximum value of m if the number
What is the maximum value of m if the number
N = 35 × 45 × 55 × 60 × 124 × 75
is divisible by 5m?
- 4
- 5
- 6
- 7
A student was asked to multiply a number by 25
A student was asked to multiply a number by 25. He instead multiplied the number by 52 and got the answer 324 more than the correct answer. The number to be multiplied was
- 15
- 32
- 12
- 25
If x is a positive even integer and y is a negative odd integer
If x is a positive even integer and y is a negative odd integer, then xy is
- even integer
- rational number
- odd integer
- none
The difference between the squares of two consecutive odd
The difference between the squares of two consecutive odd integers is always divisible by
- 16
- 8
- 7
- 3
The sum of two numbers is 10 and their product is 20
The sum of two numbers is 10 and their product is 20. What is the sum of their reciprocals?
- 1
- 1/2
- 2
- 1/10
If n is a whole number greater than 1, then n^2(n^2 - 1)
If n is a whole number greater than 1, then n2(n2 - 1) is always divisible by
- 12
- 24
- 48
- 60
If 15 men take 21 days of 8 hours each to do a piece of work
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?
- 18
- 20
- 25
- 30
A and B working together can finish a piece of work in 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?
- 18 days
- 20 days
- 24 days
- 25 days
If 5 men can do a piece of work in 10 days and 12 women
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
- 7½ days
- 8 days
- 9½ days
- 12 days
4 goats or 6 sheep can graze a field in 50 days
4 goats or 6 sheep can graze a field in 50 days. 2 goats and 9 sheep can graze a field in
- 100 days
- 75 days
- 50 days
- 25 days
A can do a piece of work in 4 days and B can complete
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.
- 2 days
- 3 days
- 4 days
- 5 days
76 ladies complete a job in 33 days. Due to some reason some ladies
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
- 17
- 18
- 19
- 20
20 workers working for five hours per day complete a work in 10 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?
- 4 days
- 5 days
- 6 days
- 8 days
X can complete a job in 12 days. If X and Y work together
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
- 10 days
- 12 days
- 15 days
- 18 days
If 10 persons can dig 8 feet trench in 12 days
If 10 persons can dig 8 feet trench in 12 days, then how many days will 8 persons take to dig 6 feet trench?
- 10 days
- 10.25 days
- 11 days
- 11.25 days
18 men can earn ₹ 360 in 5 days
18 men can earn ₹ 360 in 5 days. How much money will 15 men earn in 9 days?
- ₹ 540
- ₹ 360
- ₹ 480
- ₹ 600
Pipe A can fill a tank in 3 hours. But there is a leakage also
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?
- 10.5 hours
- 18 hours
- 20 hours
- 21 hours
It takes 3 hours to fill a tank but due to a leakage it takes 4 hours
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?
- 18 hours
- 16 hours
- 12 hours
- 10 hours
If 15 men can complete a work in 16 days
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
- 7 days
- 8 days
- 10 days
- 12 days
In a 100 m race, A runs at a speed of 5/3 m/s
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?
- 5/4 m/s
- 7/5 m/s
- 4/3 m/s
- 6/5 m/s
A passenger train departs from Delhi at 6 pm for Mumbai
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?
- 4 p.m.
- 2 a.m
- 12 midnight
- 6 a.m.
A 225 m long train is running at a speed of 30 km/hour
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?
- 40 seconds
- 30 seconds
- 25 seconds
- 15 seconds
A thief is spotted by a policeman from a distance of 100 m
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?
- 200 m
- 300 m
- 400 m
- 500 m
A car travels first one-third of a certain distance with a speed of 10 km/hr
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
- 18 km/hr
- 24 km/hr
- 30 km/hr
- 36 km/hr
A thief is noticed by a policeman from a distance of 200 m
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.
- 100 m
- 120 m
- 150 m
- 160 m
A wheel of radius 2.1 m of a vehicle makes 75 revolutions in 1 min
A wheel of radius 2.1 m of a vehicle makes 75 revolutions in 1 min. What is the speed of the vehicle?
- 59.4 km/h
- 78 km/h
- 37.4 km/h
- 35.4 km/h
A train running at the speed of 72 km/h goes past a pole in 15 s
A train running at the speed of 72 km/h goes past a pole in 15 s. What is the length of the train?
- 350 m
- 300 m
- 200 m
- 150 m
A person travels a certain distance at 3 km/h and reaches 15 min late
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
- 4.5 km
- 6 km
- 7.2 km
- 12 km
A car is traveling at a constant rate of 45 km/h
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
- 105 km
- 120 km
- 150 km
- 165 km
A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr
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
- 6 min
- 3 min
- 2 min
- 4 min
A person can walk a certain distance and drive back in six hours
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?
- Two hours
- Two and a half hours
- Four hours
- Five and a half hours
If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours
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?
- 4 : 5
- 1 : 2
- 8 : 5
- 5 : 8
A sum of Rs.700 has to be used to give seven cash prizes
A sum of Rs.700 has to be used to give seven cash prizes to the students of a school for their overall academic performance. If each prize is Rs.20 less than its preceding prize, what is the least value of the prize?
- Rs. 30
- Rs. 40
- Rs. 60
- Rs. 80
A contract on construction job specifies a penalty for delay in completion
A contract on construction job specifies a penalty for delay in completion of the work beyond a certain date is as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day, etc. The penalty for each succeeding day being 50 more than that of the preceding day. How much penalty should the contractor pay if he delays the work by 10 days?
- Rs. 4950
- Rs. 4250
- Rs. 650
- Rs. 3600
Out of 120 applications for a post, 70 are male
Out of 120 applications for a post, 70 are male and 80 have a driver's license. What is the ratio between the minimum to maximum number of males having driver's license?
- 2 to 3
- 3 to 7
- 1 to 2
- 5 to 7
There are 100 students in a particular class
There are 100 students in a particular class. 60% students play cricket, 30% student play football and 10% student play both the games. What is the number of students who play neither cricket nor football?
- 25
- 20
- 18
- 15
If the perimeter of a rectangle is 10 cm and the area is 4 cm^2
If the perimeter of a rectangle is 10 cm and the area is 4 cm2, then its length is
- 6 cm
- 5 cm
- 4.5 cm
- 4 cm
A ball of radius 1 cm is put into a cylindrical pipe so that it fits inside the pipe
A ball of radius 1 cm is put into a cylindrical pipe so that it fits inside the pipe. If the length of the pipe is 14 m, what is the surface area of the pipe?
- 2200 square cm
- 4400 square cm
- 8800 square cm
- 17600 square cm
Three circles each of radius 3.5 cm touch one another
Three circles each of radius 3.5 cm touch one another. The area subtended between them is
- 6(√3π - 2) square units
- 6(2π - √3) square units
- 49/8 (2√3 - π) square units
- 49/8 (√3 - π) square units 8
The area of a regular hexagon of side 'a' is equal to
The area of a regular hexagon of side 'a' is equal to
- √2/3 a2 square units
- 3√3/2 a2 square units
- 1/3 a2 square units
- √3/2 a2 square units
If the radius of a right circular cone is increased by p%
If the radius of a right circular cone is increased by p% without increasing its height, then what is the percentage increase in the volume of the cone?
- p2
- 2p2
- p2/100
- p(2 + p/100)
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