# Quant Questions

### 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

### The rabbit population in community A increases at 25% per year

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

### Two glasses of equal volume are respectively half and three-fourths filled

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

### In a rare coin collection, there is one gold coin

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

### The costs of two articles are in the ratio 3:5

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

### Two numbers are in the ratio 3:5. If 9 is subtracted from each number

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

### Age of X is 6 times that of Y. After 4 years

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

### In a certain school, the ratio of boys and girls is 7 : 5

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

### The areas of two circular fields are in the ratio 16 : 49

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

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

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°

### The ratio of two numbers is 1:5 and their product is 320

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

### In a class of 49 students, the ratio of girls to boys is 4:3

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

### The cost of a diamond varies directly as the square of its weight

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

### A person has only Rs. 1 and Rs. 2 coins with her

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

### X paid Rs. 47 for certain cups of tea and coffee. If tea costs Rs. 5 per cup

X paid Rs. 47 for certain cups of tea and coffee. If tea costs Rs. 5 per cup and coffee costs Rs. 8 per cup, which one of the following statements is correct?

1. He drank 8 cups of tea and coffee.
2. He drank the same number of cups of tea and coffee.
3. He drank more tea than coffee.
4. He drank more coffee than tea.

### The system of equations 2x + 4y = 6 and 4x + 8y = 8 is

The system of equations 2x + 4y = 6 and 4x + 8y = 8 is

1. Consistent with a unique solution
2. Consistent with infinitely many solutions
3. Inconsistent
4. None of the above

### Sunil wants to spend Rs.200 on two types of sweets, costing Rs.7 and Rs.10 respectively

Sunil wants to spend Rs.200 on two types of sweets, costing Rs.7 and Rs.10 respectively. What is the maximum number of sweets he can get so that no money is left over?

1. 25
2. 26
3. 27
4. 28

### Leela got married 6 years ago. Today her age is 1¼ times her age at the time of her marriage

Leela got married 6 years ago. Today her age is 1¼ times her age at the time of her marriage. Her son’s age is 1/10 times her age. What is the present age of her son?

1. 1 year
2. 2 years
3. 3 years
4. 4 years

### The pair of linear equations kx + 3y + 1 = 0 and 2x + y + 3 = 0

The pair of linear equations kx + 3y + 1 = 0 and 2x + y + 3 = 0 intersect each other, if

1. k = 6
2. k ≠ 6
3. k = 0
4. k ≠ 0

### If the roots of the equation (a2 - bc)x2 + 2(b2 - ac)x + (c2 - ab) = 0 are equal

If the roots of the equation (a2 - bc)x2 + 2(b2 - ac)x + (c2 - ab) = 0 are equal, where b ≠ 0, then which one of the following is correct?

1. a3 + b3 + c3 = 0
2. a3 + b3 + c3 = 3abc
3. a2 + b2 + c2 = 0
4. a + b + c = abc

### If α and β are the roots of the equation x^2 - x - 1 = 0

If α and β are the roots of the equation x2 - x - 1 = 0, then what is (α2 + β2)/((α2 - β2)(α - β))

1. 2/5
2. 4/5
3. 3/5
4. 1/5

### If x^2 = 6 + √(6 + √(6 + √(6 + ....∞)), then what is one of the values

If x2 = 6 + √(6 + √(6 + √(6 +....∞)), then what is one of the values of x equal to?

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

### The expression 2x^3 + x^2 - 2x - 1 = 0 is divisible by

The expression 2x3 + x2 - 2x - 1 = 0 is divisible by

1. 2x - 1
2. 2x + 1
3. x + 2
4. x - 2

### In solving a problem, one student makes a mistake in the coefficient

In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains -9 and -1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was:

1. x2 + 10x + 9 = 0
2. x2 - 10x + 16 = 0
3. x2 - 10x + 9 = 0
4. x2 + 10x + 16 = 0

### The sign of the quadratic polynomial ax^2 + bx + c is always

The sign of the quadratic polynomial ax2 + bx + c is always positive if

1. a is positive and b2 - 4ac ≤ 0.
2. a can be any real number and b2 - 4ac ≤ 0.
3. a can be any real number and b2 - 4ac ≥ 0.
4. a is positive and b2 - 4ac ≥ 0.