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Quantitative Aptitude
List of top Quantitative Aptitude Questions
What is the HCF of 24 and 36?
CAT - 2011
CAT
Quantitative Aptitude
LCM and HCF
The ratio of two numbers is 3:4. If their sum is 70, what is the larger number?
CAT - 2011
CAT
Quantitative Aptitude
Ratio and Proportion
A boat travels 60 km downstream in 3 hours. What is the speed of the boat in still water if the river's speed is 5 km/h?
CAT - 2011
CAT
Quantitative Aptitude
Boat and Stream
One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks—the first was full of pure petrol while the second was empty. First, he transferred an arbitrary amount of petrol from the first tank into the second and then replaced the petrol removed from the first tank with kerosene. He then repeated this process one more time but this time he ensured that by the end of the process the second tank was exactly full.
Which of the following can be the concentration of petrol in the second tank?
CAT - 2011
CAT
Quantitative Aptitude
Mixtures and Allegations
A shop offers a 20% discount on an item with a marked price of Rs. 500. What is the selling price?
CAT - 2011
CAT
Quantitative Aptitude
Discount and MP
Let \(S_n\) denote the sum of the squares of the first \(n\) odd natural numbers. If \(S_n = 533n\), find the value of \(n\).
CAT - 2011
CAT
Quantitative Aptitude
Sequences and Series
What is the value of √169?
CAT - 2011
CAT
Quantitative Aptitude
Square and Square Roots
A man works 8 hours a day for 5 days to earn Rs. 4,000. What is his hourly wage?
CAT - 2011
CAT
Quantitative Aptitude
Work and Wages
Mohan’s fixed commission is ₹560 per assignment. Cost = ₹\(2n^2\), where \(n\) = number of chairs made. If average cost per chair ≤ ₹68, then minimum and maximum values of \(n\) are:
CAT - 2011
CAT
Quantitative Aptitude
Inequalities
If 5x = 25, what is x?
CAT - 2011
CAT
Quantitative Aptitude
Linear Equations
A train travels 240 km in 4 hours. What is its speed in km/h?
CAT - 2011
CAT
Quantitative Aptitude
Time, Speed and Distance
The radius of a wire is decreased to one-third, and its volume remains the same. The new length is how many times the original length?
SNAP - 2011
SNAP
Quantitative Aptitude
Similar Triangles and Mensuration
The salary of Raju and Ram is 20% and 30% less than the salary of Saroj respectively. By what percent is the salary of Raju more than the salary of Ram?
SNAP - 2011
SNAP
Quantitative Aptitude
Percentage
The speeds of a scooter, a car and a train are in the ratio of 1 : 4 : 16. If all of them cover an equal distance, then the ratio of (time taken ÷ velocity) for each of the vehicles is:
SNAP - 2011
SNAP
Quantitative Aptitude
Speed, Time and Distance
A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius of the sphere. What is the ratio of the height to the radius of the cone so formed?
SNAP - 2011
SNAP
Quantitative Aptitude
Similar Triangles and Mensuration
Ramsukh bhai sells rasgulla (a favourite Indian sweet) at Rs. 15 per kg. A rasgulla is made up of flour and sugar in the ratio 5 : 3 (by weight). The ratio of the price of sugar to flour is 7 : 3 (per kg). He earns a profit of \(66\dfrac{2}{3}\%\). What is the cost price of sugar?
SNAP - 2011
SNAP
Quantitative Aptitude
Profit and Loss
A reduction of 20% in the price of sugar enables a person to purchase 6 kg more for Rs. 240. What is the original price per kg of sugar?
SNAP - 2011
SNAP
Quantitative Aptitude
Percentage
A, B, C and D purchased a restaurant for Rs. 56 lakhs. The contribution of B, C and D together is 460% that of A alone. The contribution of A, C and D together is \(366\dfrac{2}{3}\%\) that of B's contribution, and the contribution of C is 40% that of A, B and D together. The amount contributed by D is:
SNAP - 2011
SNAP
Quantitative Aptitude
Ratio and Proportion
B is twice as efficient as A, and A can do a piece of work in 15 days. A started the work, and after a few days B joined him. They completed the work in 11 days from the start. For how many days did they work together?
SNAP - 2011
SNAP
Quantitative Aptitude
Time and Work
If \({}^nC_x=56\) and \({}^nP_x=336\), then find n and x.
SNAP - 2011
SNAP
Quantitative Aptitude
permutations and combinations
One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle, whose midpoints are in turn joined to form still another triangle. This process continues indefinitely. Find the sum of the perimeters of all the triangles.
SNAP - 2011
SNAP
Quantitative Aptitude
Similar Triangles and Mensuration
The probability that a leap year, selected at random, contains either 53 Sundays or 53 Mondays, is:
SNAP - 2011
SNAP
Quantitative Aptitude
Probability
The average of 4 distinct prime numbers a, b, c, d is 35, where a < b < c < d. a and d are equidistant from 36, b and c are equidistant from 34, a and b are equidistant from 30, and c and d are equidistant from 40. The difference between a and d is:
SNAP - 2011
SNAP
Quantitative Aptitude
Number System
Find the intercepts made by the line \(3x+4y-12=0\) on the axes:
SNAP - 2011
SNAP
Quantitative Aptitude
Coordinate Geometry
Three parallel lines are cut by two transversals as shown in the given figure. If AB = 2 cm, BC = 4 cm and DE = 1.5 cm, then the length of EF is:
SNAP - 2011
SNAP
Quantitative Aptitude
Similar Triangles and Mensuration
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