# Quant Ability

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?

- 500
- 700
- 800
- 1000

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?

- 4 yr
- 5 yr
- 6 yr
- 7 yr

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?

- 44
- 55
- 66
- 77

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

- 10%
- 15%
- 20%
- 25%

What is the number whose 20% is 30% of 40?

- 50
- 60
- 80
- 90

The radius of the base of a right circular cone is increased by 15% keeping the height fixed. The volume of the cone will be increased by

- 34.75%
- 32.25%
- 31%
- 30%

The price of an article is ₹ 25. After two successive cuts by the same percentage, the price becomes ₹ 20.25. If each time the cut was x%, then

- x = 9
- x = 10
- x = 11
- x = 11.5

If m% of m + n% of n = 2% of (m × n), then what percentage of m is n?

- 25%
- 50%
- 75%
- 100%

A man loses 20% of his money. After spending 25% of the remainder, he has ₹ 480 left. What is the amount of money he originally had?

- ₹ 600
- ₹ 720
- ₹ 800
- ₹ 840

An employee is required to contribute 10% of his pay to General Provident Fund. If he gets ₹13,500 as net pay in a month, then what is the monthly General Provident Fund contribution (assuming no other deductions)?

- ₹ 1215
- ₹ 1350
- ₹ 1500
- ₹ 1650

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:

- 11%
- 10.75%
- 10.5%
- 10.25%

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

- ₹ 900
- ₹ 800
- ₹ 750
- ₹ 700

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 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 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. 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, 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, 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. 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, 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. 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 24 men are employed, then the time required to complete that work will be

- 7 days
- 8 days
- 10 days
- 12 days

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. 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. 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. 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. 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. The distance traveled by the car from 10:40 am to 1:00 pm is

- 105 km
- 120 km
- 150 km
- 165 km

What is the LCM of 2/3, 7/9, 14/15?

- 14/3
- 1/3
- 2/3
- 7/3

The product of two numbers is 6912 and their GCD is 24. What is their LCM

- 296
- 288
- 286
- 280

What is the HCF of 8(x^{5} - x^{3} + x) and 28(x^{6} + 1)?

- (x
^{4}+ 1 - x^{2}) - 4(x
^{4}+ 1 - x^{2}) - 2(x
^{4}+ 1 - x^{2}) - None

If for integer a, b and c if HCF(a,b) = 1 and HCF(a,c) = 1, then which one of the following is correct?

- HCF(a,bc) = a
- HCF(a,bc) = b
- HCF(a,bc) = 1
- None

What is the number of integral solutions of the equations HCF(a,b) = 5 and a + b = 65?

- Exactly one
- Infinitely many
- Less than 65
- None

In a fire range, four shooters are firing at their respective targets. The first, the second, the third and the fourth shooter hit the target once in every 5, 6, 7 and 8 seconds respectively. If all of them hit the target at 9:00 am, when will they hit their target together again.

- 9:04 am
- 9:08 am
- 9:10 am
- 9:14 am

Which one of the following relations for the numbers 10, 7, 8, 5, 6, 8, 5, 8, 6 is correct?

- Mean = Mode
- Mean = Median
- Mean > Median
- Mean > Mode

Ten observations 6, 14, 15, 17, x + 1, 2x - 13, 30, 32, 34 and 43 are written in ascending order. The median of the data is 24. What is x?

- 15
- 18
- 20
- 24

The arithmetic mean and geometric mean of two numbers are 14 and 12 respectively. What is the harmonic mean of the numbers?

- 32/3
- 10
- 72/7
- 13

The mean of 100 values is 45. If 15 is added to each of the first forty values and 5 is subtracted from each of the remaining sixty values, the new mean becomes

- 45
- 48
- 51
- 55

The geometric mean of 32, 4, 8, X, 2 is 8. What is the value of X?

- 2
- 4
- 8
- 16