1 
Two guitarists had decided to selloff their spare unused guitars (each had one spare guitar). Afte...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

2 
HDFC lends a million to HUNDCO at 10% simple interest p.a.for two years and HUNDCO lends the s...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

3 
A milkman purchases 10 litres of milk at Rs. 7 per litre and forms a mixture by adding freely availa...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

4 
A property dealer bought a rectangular plot in Noida 5 years ago at the rate of 1000 per square mete...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

5 
The compound interest on certain sum is for 2 years is Rs. 756 and SI is Rs. 720. If the sum is inve...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

6 
A dishonest retailer cheats his wholesaler and customer both. He purchases 19% more from the wholesa...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

7 
ICICI bank offers a 1year loan to a company at an interest rate of 20 percent payable at maturity, ...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

8 
Rs. 3500 was lent partly @ 4% and partly @6% SI. The total interest received after 3 years is 498. W...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

9 
An empty vessel is connected with 3 pipes A, B, and C. Pipe A is opened first and can fill the vesse...
CAT
Quantitative Ability
Arithmetic
Time and Work

10 
Three varieties of premium basmati rice costing Rs. 60 per kg, Rs. 70 per kg and Rs. 90 per kg are m...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

11 
A goldsmith mixes two types of alloys. He takes 6 kg of the first alloy containing gold and silver i...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

12 
Rahul went to purchase a nokia mobile handset , the shopkeeper told him to pay 20% tax if he asked t...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

13 
Pipe A takes 3/4 of the times required by pipe B to fill the empty tank individually. When an outlet...
CAT
Quantitative Ability
Arithmetic
Time and Work

14 
A can finish a work in 12 days and B can do it in 15 days. After A has worked for 3 days, B als...
CAT
Quantitative Ability
Arithmetic
Time and Work

15 
Two integers are such that their difference, their sum, and their product to one another is in the r...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

16 
Mohan and Rakesh are two friends. Mohan lives in 'VillaKila' and Rakesh lives in 'Killa...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

17 
A bird is sitting on the last coach at the very end of a 100 m long train, travelling at speed of 36...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

18 
Bennett distribution company, a subsidiary of a major cosmetics manufacturer Bavlon, is forecasting ...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

19 
Ashok and Raj start from city A for city B with different speeds. Ashok left city A one hour earlier...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

20 
Khushi and Arushi start simultaneously from point A towards point B, which is 30 km away. Khushi tra...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

21 
Consider three friends A, B and C who work at different speeds. When the slowest two work together, ...
CAT
Quantitative Ability
Arithmetic
Time and Work

22 
From a container, 6 litres milk was drawn out and was replaced with water. Again 6 litre...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

23 
Every morning, Rajesh goes for a morning walk. He starts from his house and walks up to a river whic...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

24 
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed ...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

25 
Pankaj and Sushil invested some amount of money in the ratio of 3:5 for the same period in a busines...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

26 
There's a lot of work in preparing a birthday dinner. Even after the turkey is in oven, there ar...
CAT
Quantitative Ability
Arithmetic
Time and Work

27 
5 men and 2 boys working together can do four times as much work per hour as 1 man and&nbs...
CAT
Quantitative Ability
Arithmetic
Time and Work

28 
A is twice as efficient as B. A can complete a job 30 days before B. In how many days can they ...
CAT
Quantitative Ability
Arithmetic
Time and Work

29 
Ronald and Mikhail run three races of 1000 meters each. In the first race, when both start running t...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

30 
If 4/5th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of...
CAT
Quantitative Ability
Arithmetic
Time and Work

31 
Ernest won a large amount of money in a lottery. Overcome with impulse, he blew off 40% of his winni...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

32 
Amber Chew opened a departmental store at Great India Palace in Noida by investing Rs. 20 million. A...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

33 
Three friends A, B, and C are running on a circular track of length 60 m with speeds 1 m/s...
CAT
Quantitative Ability
Arithmetic
Races
Circular Races
Times Speed Distance

34 
Two friends – Prakash and Arpit – started running simultaneously from a point P in the s...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

35 
Two trains of different lengths are travelling in opposite directions with different speeds. Rajesh,...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

36 
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the ...
CAT
Quantitative Ability
Arithmetic
Time and Work

37 
When Charlie visited a chocolate factory, he stole from a tincan some chocolate milkshake that had ...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

38 
Arun can walk up in a moving escalator (upwards) in 30 s. He can walk down this moving &ls...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance
Relative Speed

39 
A man is walking on an ascending escalator. He takes 8 steps to reach the top of the 40 step escalat...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

40 
Train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length in metres...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

41 
A can do a piece of work in ‘x’ days and B can do it in ‘y’ days, where x an...
CAT
Quantitative Ability
Arithmetic
Time and Work

42 
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 k...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance
Relative Speed

43 
A 4 inch long and 6 inch wide photo is scaled proportionally. Find the width of the new scaled photo...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

44 
Rotomac produces very fine quality writing pens. The company knows that on an average, 10% of the pe...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

45 
Rose and Emily started from two different places 129 km away, simultaneously towards each other.&nbs...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

46 
The owner of an art shop conducts his business in the following manner: Every once in a while he rai...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

47 
A petrol tank at a filling station has a capacity of 400 litres. The attendant sells 40 litres of pe...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

48 
(x2) men can do a piece of work in x days and (x + 7) men can do 75% of the same work in (x –...
CAT
Quantitative Ability
Arithmetic
Time and Work

49 
Two superfast trains, which travel at speeds of 120 km/hr and 150 km/hr, left the Beijing Railway S...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

50 
Two motorists Anil and Sunil are practicing with two different sports car; Ferrari and Maclarun, on ...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

51 
A vendor sells his article at a certain profit percentage. If he sells his article at 1/3 of the act...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

52 
Walking at 3 4 of his normal speed, Amit is 16 minutes late in reaching his office. The usual ...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

53 
Avi driving at a speed of 45 km/h reaches his school 10 minutes late. Next time he increases his spe...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

54 
A fort had the provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The n...
CAT
Quantitative Ability
Arithmetic
Time and Work

55 
Three pipes A, B and C can fill a cistern in 36 minutes. A,B and C are opened simultaneously. A...
CAT
Quantitative Ability
Arithmetic
Time and Work

56 
9 litres out of 90 litres milk are replaced with an equal quantity of water. Again 9 litres of the r...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

57 
A and B are running along a circular track in the same direction. A and B started simultaneousl...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance
Races
Circular Races

58 
30 men can do a work in 24 days. In how many days can 20 men do the work, given that the time spent ...
CAT
Quantitative Ability
Arithmetic
Time and Work

59 
A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3...
CAT
Quantitative Ability
Arithmetic
Time and Work

60 
Two pipes A and B can fill a tank in 24 hours and 120/7hours respectively. Harihar opened the pipes ...
CAT
Quantitative Ability
Arithmetic
Time and Work

61 
Sachin and Sunil started with a speed of 40 km/hr and 18 km/hr respectively on their bikes for Patna...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

62 
A trader sells goods to a costumer at a profit of k% over the cost price, besides it he cheats his c...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

63 
Three numbers are in continued proportion. Their mean proportional is 10 and the sum of the other tw...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

64 
Jalela and Dalela have to clear their respective loans by paying 3 equal annual installments. Both o...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest

65 
A water filling pipe P is 5 times faster than a second pipe Q. If Q can fill a cistern in 30 minutes...
CAT
Quantitative Ability
Arithmetic
Time and Work

66 
A can do a certain job in 12 days. B is 60% more efficient than A. The number of days, it takes B to...
CAT
Quantitative Ability
Arithmetic
Time and Work

67 
An artist bought two cans of equal capacity filled with paint to their brims. The first can containe...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

68 
Amar is 20% less efficient than Sachin. Amar, when working alone, takes 30 days to finish the job. H...
CAT
Quantitative Ability
Arithmetic
Time and Work

69 
Ron can do a piece of work in 8 days which Goofy can finish in 12 days. If they work on alterna...
CAT
Quantitative Ability
Arithmetic
Time and Work

70 
Ben made a loss of 20% by selling his laptop on Rs 1536. How much profit or loss he would make by se...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

71 
A reduction of 20% in the price of sugar enables housewife to purchase 6 kg more for RS. 240. What i...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

72 
Harry and Ron are wizards who fly on magic broomsticks. They can fly at 22 m/s and 11 m/s respective...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

73 
Maya can complete a piece of work in 53 days if she works alone. The work is started by Maya and on ...
CAT
Quantitative Ability
Arithmetic
Time and Work

74 
A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day....
CAT
Quantitative Ability
Arithmetic
Time and Work

75 
A class of 15 students got an average of 50 marks in an exam, while another class of 30 students got...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

76 
John has chocolates of types A and B in the ratio 3 : 7, while Mike has chocolates of types B and C ...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages

77 
Three math classes; X, Y, and Z, take an algebra test. The average score in class X is 83. The avera...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Averages

78 
32 litres of milk and water solution contains 84% milk. How much water (in litres) should be added t...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

79 
Rajiv is a student in a business school. After every test he calculates his cumulative average. QT a...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Averages

80 
If an article is sold at a gain of 6% instead of at a loss of 6%, then the seller gets Rs 12 more. T...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

81 
A student took a certain entrance exam and scored 180 out of 250 marks in the first attempt. However...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

82 
At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the ...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

83 
Mukesh bought two mobiles each at Rs 54000/. On one mobile he made a profit of 20% and on other mob...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

84 
A dishonest shopkeeper professes to sell cloth at the cost price but uses faulty meter rod. His mete...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

85 
A shopkeeper professes to sell his goods at cost price but uses 800gm instead of 1 kg, what is profi...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

86 
The GhaziabadHapurMeerut EMU and the MeerutHapurGhaziabad EMU start at the same time from Ghazia...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

87 
A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 16 art...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

88 
A sum of Rs 6400/ is invested for 6 months at the rate of 50% per annum compounded quarterly. ...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest
Compound Interest

89 
If the population of India was 120 billion in 2013 and it was growing at the rate of 1.2% ...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest
Compound Interest

90 
Profit on selling 10 candles equals selling price of 3 bulbs. While loss on selling 10 bulbs e...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

91 
A leak in the bottom of a tank can empty the full tank in 6 h. An inlet pipe fills water at the rate...
CAT
Quantitative Ability
Arithmetic
Time and Work

92 
Harsh sells a pen at a gain of 15%. Had he bought it at 10% less and sold it for Rs 40 less, he woul...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Profit and Loss

93 
A milkman mixes 20 litres of water with 80 litres of milk. After selling onefourth of this mixture,...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

94 
A, B and C started a business by investing 1/2, 1/3rd and 1/6th of the capital respectively. After 1...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

95 
A college has raised 75% of the amount it needs for a new building by receiving an average donation ...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

96 
Two friend A and B working together completed a work in 26 days. Their skills of doing the work are ...
CAT
Quantitative Ability
Arithmetic
Time and Work

97 
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream a...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

98 
Wheat is now being sold at Rs. 27 per kg. During last month its cost was Rs. 24 per kg. Find by how ...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

99 
Four high school football teams, Gryffindor, Ravenclaw, Hufflepuff and Slytherin, had qualified to p...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

100 
A train crosses a man travelling in another train in the opposite direction in 10 seconds. But the t...
CAT
Quantitative Ability
Arithmetic
Time, Speed and Distance

101 
A vessel is completely filled with petrol. 10 litres is drawn from this vessel and replaced with ker...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

102 
Delhi Metro Corporation engaged 25,000 workers to complete the project of IP state to Dwarka Metro L...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Percentages

103 
Let a, b, c, d and e be integers such that a = 6b = 12c, and 2b = 9d = 12e. Then which of the follow...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

104 
A tank has two inlet pipes which can fill the empty tank in 12 hours and 15 hours working aloneand o...
CAT
Quantitative Ability
Arithmetic
Time and Work

105 
The diluted wine contains only 8 litres of wine and the rest is water. A new mixture whose con...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations

106 
There are four empty jars, to be filled with milk, water, honey and wine respectively. The ratio of ...
CAT
Quantitative Ability
Arithmetic
Ratio, Proportion and Percentages
Ratio

107 
The difference between the simple interest received from two banks on Rs 1000 for 3 years is Rs 60/...
CAT
Quantitative Ability
Arithmetic
Commercial Mathematics
Simple Interest and Compound Interest
Simple Interest

108 
Two solutions contain petrol and diesel in the ratio 2 : 3 and 3 : 7. In what ratio should the two s...
CAT
Quantitative Ability
Arithmetic
Averages, Mixtures and Alligations
Mixtures and Allegations
