Quantitative Aptitude - Math Problems
A collection of quantitative aptitude questions covering work and time, simple interest, speed and distance, ratios, ages, and arithmetic word problems suitable for competitive exam preparation.
Questions
A train 125 m long passes a man, running at 5 kmph in the same direction in which the train is going, in 10 seconds. The speed of the train is:
- 45 km/hr
- 50 km/hr
- 54 km/hr
- 55 km/hr
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
- 230 m
- 240 m
- 260 m
- 270 m
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
- 6 days
- 4 days
- 8 days
- 12 days
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
- 16 hours
- 18 hours
- 20 hours
- 24 hours
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
- 504
- 536
- 544
- 548
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?
- 26 minutes and 18 seconds
- 42 minutes and 36 seconds
- 45 minutes
- 46 minutes and 12 seconds
Insert the missing number. 4, -8, 16, -32, 64, (....)
- 128
- -128
- 192
- -192
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
- 400 kg
- 560 kg
- 600 kg
- 640 kg
The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:
- 60
- 108
- 110
- 112
A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
- 3
- 4
- 5
- 6
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
- 2.91 m
- 3 m
- 5.82 m
- None of these
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
- 160
- 175
- 180
- 195
David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?
- 19
- 28
- 30
- 37
What will be the day of the week 15th August, 2010?
- Sunday
- Monday
- Tuesday
- Friday
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
- 12
- 15
- 18
- 21
Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
- 16 years
- 18 years
- 28 years
- 24.5 years
- None of these
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
- 650
- 690
- 698
- 700
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
- 12
- 18
- 22
- 24
- None of these
The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?
- 2010
- 2011
- 2012
- 2013
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
- 1200
- 2400
- 4800
- Cannot be determined
- None of these