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Quantitative Aptitude
List of top Quantitative Aptitude Questions
Aman bought '3x' shares for Rs. 420 per share, '4x' shares for Rs. 450 per share and '3x' shares for Rs. 430 per share. He sold 40% of the shares at Rs. 480 per share and the rest at Rs. 'y' per share. If he made a total profit of 20% on the whole transaction, find the value of 'y'.
CAT
Quantitative Aptitude
Shares and Dividends
A pendulum strikes 7 times in 4 seconds, and another pendulum strikes 5 times in 3 seconds. If both pendulums start striking at the same time, how many clear strikes can be listened in one minute?
Quantitative Aptitude
Time & Work
The sum of a two-digit number and the number obtained by reversing the digits is 99. If the digits of the number differ by 7, then the two-digit number can be:
CUET (UG)
Quantitative Aptitude
Basic Algebra
The ratio of the ages of Amit and his father is 2:5. After 4 years, the ratio of their ages will become 3:7. What will be the ratio of their ages after 6 years?
CUET (UG)
Quantitative Aptitude
Problem on Age
The average of four numbers is 48. If the first number is one-third of the sum of the remaining numbers, then the first number is:
CUET (UG)
Quantitative Aptitude
Average
PQ and RS are common tangents to two circles intersecting at points A and B. A and B, when produced on both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm and XY = 5 cm, then PQ is:
CUET (UG)
Quantitative Aptitude
Tangents and Normals
A die is thrown once. What is the probability of getting a number greater than 4?
CUET (UG)
Quantitative Aptitude
Probability
A ladder leaning against a wall makes an angle of 45° with the ground. If the length of the ladder is 10 m, what is the distance of the foot of the ladder from the wall?
CUET (UG)
Quantitative Aptitude
Heights and Distances
A train running at the speed of 90 km/h crosses a 400 m long tunnel in 40 seconds. What is the length of the train (in meters)?
CUET (UG)
Quantitative Aptitude
Speed, Time and Distance
An amount becomes 5 times its original value in 25 years. What is the rate of simple interest per annum?
CUET (UG)
Quantitative Aptitude
Simple Interest
If the selling price of 75 articles is equal to the cost price of 90 articles, then find the gain percentage.
CUET (UG)
Quantitative Aptitude
Profit and Loss
In a circle of radius 13 cm, a chord is at a distance of 12 cm from the center of the circle. Find the length (in cm) of the chord.
CUET (UG)
Quantitative Aptitude
Circles
A tailor had a piece of cloth. He initially reduced its length by 80%. After this, he further shortened it by 90% of its new length. What was the percentage decrease in the cloth's length from the first to the second cut?
CAT
Quantitative Aptitude
Percentage
A chemist has two solutions, A and B. Solution A is 30% acid and the rest water, while solution B is 60% acid and the rest water. If equal amounts of solutions A and B are mixed to form a new solution C, what is the percentage of acid in solution C?
CAT
Quantitative Aptitude
Ratio and Proportion
A group of friends decided to share the cost of a gift equally. If each person contributed Rs. 50, the amount would have been short by Rs. 20. However, if each person contributed Rs. 60, they would have Rs. 30 more than the required amount. What is the price of the gift?
CAT
Quantitative Aptitude
Ratio and Proportion
Raj invested a certain sum of money in two schemes. The first scheme offers a simple interest of 10% per annum, and the second scheme offers a simple interest of 12% per annum. If the total interest earned from both schemes after 3 years is Rs. 1980, and the ratio of the amounts invested in the two schemes is 5:4, what is the amount invested in the second scheme?
CAT
Quantitative Aptitude
SI & CI
Vrushali invested Rs. (X + 3000) on compound interest of r% p.a. compounded annually for 2 years and Tarushi invested Rs. (X - 2000) on simple interest of (r - 2)% p.a. for 3 years. The total interest received by both of them is together Rs. 12360. If Anant invested Rs. (X + 8000) on simple interest for 3 years on 15% and received an interest of Rs. 13500, find the value of ‘r’.
CAT
Quantitative Aptitude
SI & CI
A rectangular plot of land measures 55 meters by 25 meters. A path of uniform width surrounds the plot. If the area of the path is equal to the area of the plot, what is the width of the path in meters?
CAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
All the vertices of a rhombus lie on a circle of radius R. If the length of one diagonal of the rhombus is D, then the area of the rhombus is:
CAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
A triangular garden has its corners at points A(2, 3), B(5, 7), and C(1, 6) on a coordinate plane. If a fourth point D is added to form a parallelogram ABCD, what are the coordinates of point D?
CAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
At what exact time between 3:00 PM and 4:00 PM do the hour and minute hands of a standard clock coincide?
CAT
Quantitative Aptitude
Time and Work
A factory produces a certain number of toys in a week using a team of 40 workers who work for 8 hours daily. Due to an increase in demand, the factory needs to double the production while maintaining the same work schedule. How many additional workers should be hired?
CAT
Quantitative Aptitude
Time and Work
If a, b and c are integers such that a
2
+ b
2
+ c
2
= 228, a + b + c = 26 and b = c, then what is the value of a ?
CAT
Quantitative Aptitude
Algebra
If
\((4x^2+\frac{1}{4x^2})=2\)
, then what is the value of
\((8x^3+\frac{1}{8x^3})\)
?
A) +2
B) -2
C) +4
D) -4
CAT
Quantitative Aptitude
Algebra
A fruit basket contains 80 apples, 70 oranges, and 60 bananas. Some fruits might be rotten and discarded. What is the difference between the maximum and minimum possible number of fruits that are both apples and oranges?
CAT
Quantitative Aptitude
Number Systems
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