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Quantitative Aptitude
List of top Quantitative Aptitude Questions
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
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
Old Mr. Baker was known for his impeccable calculations. He had a small bakery, and every day, he meticulously recorded the number of loaves he baked. One week, he found the average number of loaves baked per day was thirteen. Determined to maintain his bakery's reputation for consistency, he decided to include the next day's loaf count in his average. However, he wanted to ensure the average for the six days remained a whole number. What was the smallest number of loaves he could bake on the sixth day to achieve this?
CAT
Quantitative Aptitude
Average
Bala bought 100 kg of flour and 100 kg of sugar. The flour was 25% cheaper than the sugar per kg. He mixed the entire quantity and sold the mixture at ₹275.50 per kg, making an overall profit of 50%. What is the cost price of flour per kg?
CAT
Quantitative Aptitude
Profit and Loss
If
\(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\frac{1}{8}+\frac{1}{9}....\frac{1}{29} =\frac{N}{29!}\)
Find the remainder when N is divided by 19.
GATE CE
Quantitative Aptitude
Divisibility and Remainder
In an election between 3 candidates A, B, and C, 10% registered voters did not cast their votes and 5% votes were declared invalid. A obtained 834 votes more than B and 1254 votes more than C. If 178,800 voters were registered for the election, then find the number of votes obtained by the winner.
Quantitative Aptitude
Number Systems
Two places P and Q are 120 km apart from each other on a highway. A car starts from P and another from Q at the same time. If they move in the same direction, they meet each other in 8 hours. If they move in opposite directions towards each other, they meet in 2 hours 40 minutes. What are the respective speeds of the cars in km/hour?
Quantitative Aptitude
Relative Speed
The greatest possible number for which 38% of that number will be less than 54, is:
Quantitative Aptitude
Percentages
The arithmetic mean of a few numbers is 40. If each number is increased by 7, and then multiplied by 12, then the new mean will be:
Quantitative Aptitude
Arithmetic Mean
The smallest fraction which should be subtracted from the sum of the following numbers: \[ 4\frac{1}{4}, \, 2\frac{1}{2}, \, \frac{9}{12}, \, 3\frac{1}{3}, \, 2\frac{3}{4} \quad \text{so as to make it a whole number is:} \]
Quantitative Aptitude
Number Systems
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