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Quantitative Aptitude
List of top Quantitative Aptitude Questions
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
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
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
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
A parallelogram ABCD has area 48 sqcm. If the length of CD is 8 cm and that of AD is s cm, then which one of the following is necessarily true?
CAT - 2018
CAT
Quantitative Aptitude
Quadrilaterals
Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. The distance, in km, between car 2 and B when car 1 reaches B is
CAT - 2018
CAT
Quantitative Aptitude
Time Speed and Distance
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
If A = {62n -35n -1: n = 1,2,3,...} and B = {35(n-1) : n = 1,2,3,...} then which of the following is true?
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
The arithmetic mean of x, y and z is 80, and that of x, y, z, u and v is 75, where u=(x+y)/2 and v=(y+z)/2. If x ≥ z, then the minimum possible value of x is
CAT - 2018
CAT
Quantitative Aptitude
Taylor’s theorem
Let a1, a2, ... , a52 be positive integers such that a1 < a2 < ... < a52. Suppose, their arithmetic mean is one less than the arithmetic mean of a2, a3, ..., a52. If a52 = 100, then the largest possible value of a1 is
CAT - 2018
CAT
Quantitative Aptitude
Arithmetic Progression
A jar contains a mixture of 175 ml water and 700 ml alcohol. Gopal takes out 10% of the mixture and substitutes it by water of the same amount. The process is repeated once again. The percentage of water in the mixture is now
CAT - 2018
CAT
Quantitative Aptitude
Mixture Problems
Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?
CAT - 2018
CAT
Quantitative Aptitude
Time & Work
If N and x are positive integers such that NN= 2160 and N2+2N is an integral multiple of 2x, then the largest possible x is
CAT - 2018
CAT
Quantitative Aptitude
Number Systems
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