1 Two guitarists had decided to sell-off their spare un-used 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 1-year 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 'Villa-Kila' 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 tin-can 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 (x-2) 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 super-fast 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 Ghaziabad-Hapur-Meerut EMU and the Meerut-Hapur-Ghaziabad 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 one-fourth 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