>
Quantitative Aptitude
List of top Quantitative Aptitude Questions
Suppose the length of each side of a regular hexagon ABCDEF is 2 cm. It T is the mid point of CD, then the length of AT, in cm, is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), …..and so on. Then, the sum of the numbers in the 15th group is equal to
CAT - 2021
CAT
Quantitative Aptitude
Basics of Numbers
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is
CAT - 2021
CAT
Quantitative Aptitude
Ratio and Proportion
Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days,respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is
CAT - 2021
CAT
Quantitative Aptitude
Time and Work
How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?
CAT - 2021
CAT
Quantitative Aptitude
Basics of Numbers
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6km/hr less than the faster one, its length, in m, is
CAT - 2021
CAT
Quantitative Aptitude
Time, Speed and Distance
If
\(x_0 = 1, x_1 = 2, and \space x_{n + 2} =\frac{ 1+x_{n+1}}{x_n}, n = 0, 1, 2, 3,...,\)
then
\(x_{2021}\)
is equal to?
CAT - 2021
CAT
Quantitative Aptitude
Linear Inequalities
The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is
CAT - 2021
CAT
Quantitative Aptitude
Probability
If
\(log_2[3 + log_ 3[4 + log_4(x - 1)] - 2 = 0\)
then 4x equals
CAT - 2021
CAT
Quantitative Aptitude
Logarithms
Suppose hospital A admitted 21 less Covid infected patients than hospital B, and all eventually recovered. The sum of recovery days for patients in hospitals A and B were 200 and 152, respectively. If the average recovery days for patients admitted in hospital A was 3 more than the average in hospital B then the number admitted in hospital A was
CAT - 2021
CAT
Quantitative Aptitude
Average
Consider the pair of equations:
\(x^2 - xy - x = 22\)
and
\(y^2 - xy + y = 34\)
. If x > y, then x- y equals
CAT - 2021
CAT
Quantitative Aptitude
Linear & Quadratic Equations
Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they are paid a total of ₹ 21000 for the job, then the share of Charu, in INR, proportionate to the work done by him, is
CAT - 2021
CAT
Quantitative Aptitude
Time and Work
A box has 450 balls, each either white or black, there being as many metallic white balls as metallic black balls. If 40% of the white balls and 50% of the black balls are metallic, then the number of non-metallic balls in the box is
CAT - 2021
CAT
Quantitative Aptitude
Percentage
If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is
CAT - 2021
CAT
Quantitative Aptitude
Mixture Problems
From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is
CAT - 2021
CAT
Quantitative Aptitude
Mixture Problems
Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took another 69 seconds for the rear ends of the trains to cross each other. The ratio of length of train A to that of train B is
CAT - 2021
CAT
Quantitative Aptitude
Time, Speed and Distance
If a rhombus has area 12 sq cm and side length 5 cm, then the length, in cm, of its longer diagonal is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%. Chintu's share of profit increases by ₹ 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is
CAT - 2021
CAT
Quantitative Aptitude
Profit and Loss
Let D and E be points on sides AB and AC, respectively, of a triangle ABC, such that AD : BD = 2 : 1 and AE : CE = 2 : 3. If the area of the triangle ADE is 8 sq cm, then the area of the triangle ABC, in sq cm, is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
For a 4-digit number, the sum of its digits in the thousands, hundreds and tens places is 14, the sum of its digits in the hundreds, tens and units places is 15, and the tens place digit is 4 more than the units place digit. Then the highest possible 4-digit number satisfying the above conditions is
CAT - 2021
CAT
Quantitative Aptitude
Properties of Numbers
For all real values of x, the range of the function
\(f(x) =\frac{ x^2+2x+4}{2x^2+4x+9}\)
is
CAT - 2021
CAT
Quantitative Aptitude
Linear & Quadratic Equations
In a football tournament, a player has played a certain number of matches and 10 more matches are to be played. If he scores a total of one goal over the next 10 matches, his overall average will be 0.15 goals per match. On the other hand, if he scores a total of two goals over the next 10 matches, his overall average will be 0.2 goals per match. The number of matches he has played is
CAT - 2021
CAT
Quantitative Aptitude
Average
For all possible integers n satisfying
\(2.25 ≤ 2 + 2^{n + 2} ≤ 202\)
, the number of integer values of
\(3 + 3^{n + 1}\)
is
CAT - 2021
CAT
Quantitative Aptitude
Linear & Quadratic Equations
For all real numbers $ x $, the condition $ |3x - 20| + |3x - 40| = 20 $ necessarily holds if
CAT - 2021
CAT
Quantitative Aptitude
Linear Inequalities
The sides AB and CD of a trapezium ABCD are parallel, with AB being the smaller side. P is the midpoint of CD and ABPD is a parallelogram. If the difference between the areas of the parallelogram ABPD and the triangle BPC is 10 sq cm, then the area, in sq cm, of the trapezium ABCD is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
Prev
1
...
40
41
42
43
44
...
162
Next