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Quantitative Aptitude
List of top Quantitative Aptitude Questions
A and B are two alloys in which ratios of gold and copper are 5:3 and 5:11 respectively. If equal amounts of the two alloys are melted and made into alloy C, what will be the ratio of gold and copper in alloy C?
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
Ratio and Proportion
If x: y = 5: 2, then (8x + 9y): (8x + 2y) is:
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
Ratio and Proportion
In how many ways can 2 students be chosen from the class of 20 students?
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
Permutations and Combinations
From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least one lady?
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
Permutations and Combinations
A train 800 meters long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
Time Speed and Distance
An athlete runs 200 meters race in 24 seconds. His speed in km/hr is:
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
Time Speed and Distance
A man completes a certain journey by a car. If he covered 30% of the distance at the speed of 20 km/hr, 60% of the distance at 40km/hr and the remaining distance at 10 km/hr, his average speed is:
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
Time Speed and Distance
Find the compound interest on Rs. 1000 at the rate of 20% per annum for 18 months when interest is compounded half yearly.
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
SI & CI
The difference between simple and compound interest on a sum of money at 20% per annum for 3 years is Rs. 48. What is the sum?
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
SI & CI
If a 36 inches long strip of cloth shrinks to 33 inches after being washed, how many inches long will the same strip remain after washing if it were 48 inches long?
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
Ratio and Proportion
The length, breadth and height of a room are in the ratio of 3:2:1. If breadth and height are halved while the length is doubled, then the total area of the four walls of the room will:
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
Mensuration
Anand and Deepak started a business investing Rs.22, 500 and Rs.35, 000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
Profit and Loss
Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atul's share in it?
KMAT KERALA - 2018
KMAT KERALA
Quantitative Aptitude
Profit and Loss
A triangle ABC has area 32 sq units and its side BC, of length 8 units, lies on the line x = 4. Then the shortest possible distance between A and the point (0,0) is
CAT - 2018
CAT
Quantitative Aptitude
Mensuration
1/log2100-1/log4100+1/log5100-1/log10100+1/log20100-1/log25100+1/log50100=?
CAT - 2018
CAT
Quantitative Aptitude
Logarithms
There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio 18 : 7. The mixtures from drums 1 and 2 are mixed in the ratio 3 : 4 and in this final mixture, A and B are in the ratio 13 : 7. In drum 2, then A and B were in the ratio
CAT - 2018
CAT
Quantitative Aptitude
Mixture Problems
Points A, P, Q and B lie on the same line such that P, Q and B are, respectively, 100 km, 200 km and 300 km away from A. Cars 1 and 2 leave A at the same time and move towards B. Simultaneously, car 3 leaves B and moves towards A. Car 3 meets car 1 at Q, and car 2 at P. If each car is moving in uniform speed then the ratio of the speed of car 2 to that of car 1 is
CAT - 2018
CAT
Quantitative Aptitude
Time Speed and Distance
The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. If instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. A fourth solution, D, is produced by mixing B and C in the ratio 2 : 7. The ratio of the strength of D to that of A is
CAT - 2018
CAT
Quantitative Aptitude
Ratio and Proportion
The area of a rectangle and the square of its perimeter are in the ratio 1 : 25. Then the lengths of the shorter and longer sides of the rectangle are in the ratio
CAT - 2018
CAT
Quantitative Aptitude
Ratio and Proportion
The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal’s new score to that of his original score is
CAT - 2018
CAT
Quantitative Aptitude
Ratio and Proportion
If the sum of squares of two numbers is 97, then which one of the following cannot be their product?
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
For two sets A and B, let AΔB denote the set of elements which belong to A or B but not both. If P = {1,2,3,4}, Q = {2,3,5,6,}, R = {1,3,7,8,9}, S = {2,4,9,10}, then the number of elements in (PΔQ)Δ(RΔS) is
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
The smallest integer n for which 4n > 1719 holds, is closest to
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
From a rectangle ABCD of area 768 sq cm, a semicircular part with diameter AB and area 72π sq cm is removed. The perimeter of the leftover portion, in cm, is
CAT - 2018
CAT
Quantitative Aptitude
Mensuration
In a tournament, there are 43 junior level and 51 senior level participants. Each pair of juniors play one match. Each pair of seniors play one match. There is no junior versus senior match. The number of girl versus girl matches in junior level is 153, while the number of boy versus boy matches in senior level is 276. The number of matches a boy plays against a girl is
CAT - 2018
CAT
Quantitative Aptitude
Permutations and Combinations
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