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Quantitative Aptitude
List of top Quantitative Aptitude Questions
How many numbers are divisible by 3 between 50 and 500?
NATA - 2025
NATA
Quantitative Aptitude
Divisibility and Factors
What is the sum of interior angles of a polygon with 10 sides?
NATA - 2025
NATA
Quantitative Aptitude
Geometry
The age ratio of two friends is 4:5. The difference in their ages is 6 years. What is the age of the younger friend?
NATA - 2025
NATA
Quantitative Aptitude
Problem on Age
The ratio of ages of Rahul and Neha is 3:4. After 5 years, the ratio becomes 4:5. What are their current ages?
NATA - 2025
NATA
Quantitative Aptitude
Problem on Age
A, B and C have some marbles. The ratio of the number of marbles with A to the number with B is 2:1. Also, the number of marbles with A to the number with C is 1:4. What is the approximate percentage of the total number of marbles that are with C?
NPAT - 2025
NPAT
Quantitative Aptitude
Percentages
If a solid sphere of radius 20 cm is moulded into 8 solid spherical balls of equal radius, then the radius of each ball will be:
CUET (UG) - 2025
CUET (UG)
Quantitative Aptitude
Mensuration
The price of a refrigerator is Rs 22,000. A shopkeeper marks its price 15\% above its cost price and gives a discount of 8\%. The discount is
CUET (UG) - 2025
CUET (UG)
Quantitative Aptitude
Profit and Loss
If the volume of a cube is 64 cm³, then the diagonal of cube is
CUET (UG) - 2025
CUET (UG)
Quantitative Aptitude
Mensuration
A class of 25 students took an English test. 15 students had an average score of 80. The other students had an average score of 60. What is the average score of the whole class?
CUET (UG) - 2025
CUET (UG)
Quantitative Aptitude
Averages
The speed of stream is $\frac{4
{5}$ of the speed of a boat in still water. If the boat covers 198 km in 11 hours downstream, then find the difference of time taken by boat to cover 60 km in upstream and 36 km downstream.}
CUET (UG) - 2025
CUET (UG)
Quantitative Aptitude
Boat and Stream
If 40 boys can do a piece of work in 18 days working 6 hours per day, how many more boys are required to do the same work in 12 days working 4 hours per day?
CUET (UG) - 2025
CUET (UG)
Quantitative Aptitude
Time and Work
Match the following columns
CUET (UG) - 2025
CUET (UG)
Quantitative Aptitude
Mensuration
Two different dice are tossed together. Find the probability that the product of the number on the top of the dice is 6.
CUET (UG) - 2025
CUET (UG)
Quantitative Aptitude
Probability
If the sum of the diameters of two circles is 40 cm and the difference of their radii is 6 cm, then the ratio of the area of the smaller circle to that of the bigger circle is:
CUET (UG) - 2025
CUET (UG)
Quantitative Aptitude
Circles
Find the angle of elevation of the Sun when the length of the shadow of a pole is $\sqrt{3
$ times the height of the pole.}
CUET (UG) - 2025
CUET (UG)
Quantitative Aptitude
Trigonometry
If \( p \) and \( q \) are numbers such that the pair of linear equations \( (p + 2)x + (q - 1)y = 10 \) and \( (q + 2)x + (p - 1)y = 10 \) have infinite solutions for \( x \) and \( y \), then \( p = q \).
NPAT - 2025
NPAT
Quantitative Aptitude
Linear Equations
If \( x \), \( y \), and \( z \) are positive integers and \( p = \left( \left( (x - 1)^2 / |x| \right) + 2 \right) + \left( \left( (y - 1)^2 / |y| \right) + 2 \right) + \left( \left( (z - 1)^2 / |z| \right) + 2 \right), \) then \( p<6 \).
NPAT - 2025
NPAT
Quantitative Aptitude
Algebra
There are four questions based on the table that follows, one of which is asked alongside.
The table shows the data regarding the percentage change in the number of units manufactured by a plant during different months in Year 2.
Month
Percentage change (over last month)
Percent point change in percentage change (over last month)
Jan
10%
-20
Feb
18%
8
Mar
-5%
-20
Apr
6%
8
May
6%
-8
Jun
6%
-8
Jul
6%
-8
Note:
Round up the decimal values obtained (if any) during calculations to the nearest integer value.
NPAT - 2025
NPAT
Quantitative Aptitude
Percentages
Two sets of numbers having medians \( p \) and \( q \) respectively are combined to form a new set. If \( p>q \), then the median \( m \) of the new set satisfies \( q<m<p \).
NPAT - 2025
NPAT
Quantitative Aptitude
Statistics
Given: \( a \) and \( b \) are positive integers and \( a>b \). The median of a set consisting of 5 terms: \( a^2, ab, b^2, (a - b)^2 \) and \( (a + b)^2 \) is \( ab \).
NPAT - 2025
NPAT
Quantitative Aptitude
Statistics
For a set of \( n \) integers in arithmetic progression, the difference between twice the median of the set and the range of the set is equal to twice the first term.
NPAT - 2025
NPAT
Quantitative Aptitude
Arithmetic Progression
If the median of a set consisting of \( n \) consecutive odd positive integers is an even integer, the sum of the mean and the range of the set is an odd integer.
NPAT - 2025
NPAT
Quantitative Aptitude
Statistics
ABC and PQR are 2 identical equilateral triangles overlapping each other.
The area of the overlapping region PXBY is equal to twice the area of triangle AXP.
NPAT - 2025
NPAT
Quantitative Aptitude
Geometry
In triangle ABC, AB = 6 cm, AC = BC = 7 cm. Also, CP is a median. Which of the following is the area of triangle ABC?
NPAT - 2025
NPAT
Quantitative Aptitude
Geometry
A cone fits perfectly (height-wise) inside a 6 cm × 8 cm × 10 cm cuboid such that the entire base of the cone rests on one of the faces of the cuboid. Also, the circumference of the base of the cone just touches one of the pairs of the opposite sides of the face of the cuboid which is beneath it.
The volume of the cone is \( 32 \pi \, \text{cm}^3 \).
NPAT - 2025
NPAT
Quantitative Aptitude
Mensuration
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