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Quantitative Aptitude
List of top Quantitative Aptitude Questions
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
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
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
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
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
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
A right circular cone, of height 12 ft, stands on its base which has diameter 8 ft. The tip of the cone is cut off with a plane which is parallel to the base and 9 ft from the base. With π = 22/7, the volume, in cubic ft, of the remaining part of the cone is
CAT - 2018
CAT
Quantitative Aptitude
Circles
In a village, the production of food grains increased by 40% and the per capita production of food grains increased by 27% during a certain period. The percentage by which the population of the village increased during the same period is nearest to
CAT - 2017
CAT
Quantitative Aptitude
Percentage
Arun's present age in years is 40% of Barun's. In another few years, Arun's age will be half of Barun's. By what percentage will Barun's age increase during this period?
CAT - 2017
CAT
Quantitative Aptitude
Problem on Age
Let f(x) = x2 and g(x) = 2X , for all real x. Then the value of f( f(g(x)) + g(f(x)) ) at x = 1 is
CAT - 2017
CAT
Quantitative Aptitude
Functions
Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.If this amount is shared by them in proportion to their work,then Kamal's share,in rupees,is
CAT - 2017
CAT
Quantitative Aptitude
Time and Work
If three sides of a rectangular park have a total length 400 ft, then the area of the park is maximum when the length (in ft) of its longer side is
CAT - 2017
CAT
Quantitative Aptitude
Mensuration
Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same route at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour along this bypass road. If his return journey took 30 minutes more than his onward journey, then the total distance traveled by him is
CAT - 2017
CAT
Quantitative Aptitude
Time, Speed and Distance
A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while its volume is
\(9 \pi cm^3\)
. Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is
CAT - 2017
CAT
Quantitative Aptitude
Mensuration
The value of
\(\text {log}_{0.008}\sqrt{5}+\text{log}_{\sqrt{3}}81-7\)
is equal to
CAT - 2017
CAT
Quantitative Aptitude
Logarithms
Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to obtain a mixture of milk and water in 3 : 1 ratio?
CAT - 2017
CAT
Quantitative Aptitude
Mixture Problems
If a, b, c, and d are integers such that
\(a + b + c + d = 30\)
, then the minimum possible value of
\((a - b)^2 + (a - c)^2 + (a - d)^2\)
is
CAT - 2017
CAT
Quantitative Aptitude
Number Systems
Let a1 , a2 , a3 , a4 , a5 be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with 2a3.
If the sum of the numbers in the new sequence is 450, then a5 is
CAT - 2017
CAT
Quantitative Aptitude
Arithmetic Progression
The numbers 1, 2,..., 9 are arranged in a 3 X 3 square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value.
CAT - 2017
CAT
Quantitative Aptitude
Permutations and Combinations
If x is a real number such that log3 5 = log5 (2 + x), then which of the following is true?
CAT - 2017
CAT
Quantitative Aptitude
Logarithms
The number of solutions
\((x, y, z)\)
to the equation
\(x\ –\ y \ –\ z = 25\)
, where x, y, and z are positive integers such that
\(x ≤ 40, y ≤ 12\)
, and
\(z ≤ 12\)
is
CAT - 2017
CAT
Quantitative Aptitude
Number Systems
A stall sells popcorn and chips in packets of three sizes:large,super, and jumbo.The numbers of large,super,and jumbo packets in its stock are in the ratio 7:17:16 for popcorn and 6:15:14 for chips.If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio
CAT - 2017
CAT
Quantitative Aptitude
Ratio and Proportion
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