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Quantitative Aptitude
List of top Quantitative Aptitude Questions
If the population of a town is p in the beginning of any year then it becomes 3+2p in the beginning of the next year. If the population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will be
CAT - 2019
CAT
Quantitative Aptitude
Number Systems
In a race of three horses, the first beat the second by 11 metres and the third by 90 metres. If the second beat the third by 80 metres, what was the length, in metres, of the racecourse?
CAT - 2019
CAT
Quantitative Aptitude
Time Speed and Distance
Two ants A and B start from a point P on a circle at the same time, with A moving clock-wise and B moving anti-clockwise. They meet for the first time at 10:00 am when A has covered 60% of the track. If A returns to P at 10:12 am, then B returns to P at
CAT - 2019
CAT
Quantitative Aptitude
Time Speed and Distance
Naresh bought a bicycle each for his two sons, each bicycle priced at Rs. 3500. If the first bicycle is sold at a profit of 5%, the how much should the other bicycle be sold for, to gain a total of 20% on both?
CLAT - 2019
CLAT
Quantitative Aptitude
Percentage
If
\(5^x-3^y=13438\)
and
\(5^{x-1}+3^{y+1}=9686,\)
then
\(x+y\)
equals?
CAT - 2019
CAT
Quantitative Aptitude
Algebra
Amal invests Rs 12000 at 8% interest, compounded annually, and Rs 10000 at 6% interest, compounded semi-annually, both investments being for one year. Bimal invests his money at 7.5% simple interest for one year. If Amal and Bimal get the same amount of interest, then the amount, in Rupees, invested by Bimal is
CAT - 2019
CAT
Quantitative Aptitude
Interest
A shopkeeper sells two tables, each procured at cost price p, to Amal and Asim at a profit of 20% and at a loss of 20%, respectively. Amal sells his table to Bimal at a profit of 30%, while Asim sells his table to Barun at a loss of 30%. If the amounts paid by Bimal and Barun are x and y, respectively, then
\(\frac{(x −y) }{ p}\)
equals
CAT - 2019
CAT
Quantitative Aptitude
Profit & Loss
If the rectangular faces of a brick have their diagonals in the ratio 3: 2√3 :√15, then the ratio of the length of the shortest edge of the brick to that of its longest edge is
CAT - 2019
CAT
Quantitative Aptitude
Ratio
In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by 6. The revised scores of Anjali, Mohan, and Rama were in the ratio 11:10:3. Then Anjali's score exceeded Rama's score by
CAT - 2019
CAT
Quantitative Aptitude
Ratio
In a triangle ABC, medians AD and BE are perpendicular to each other, and have lengths 12 cm and 9 cm, respectively. Then, the area of triangle ABC, in sq cm, is
CAT - 2019
CAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
Let T be the triangle formed by the straight line 3x + 5y - 45 = 0 and the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as the coordinate axes. Then, the integer closest to L is
CAT - 2019
CAT
Quantitative Aptitude
Geometry
Let
\(a_1,a_2,….\)
be integers such that
\(a_1-a_2+a_3-a_4+…..+(-1)^{n-1}a_n=n\)
, for all
\(n≥1\)
,then
\(a_{51}+a_{52}+….+a_{1023} \)
equals
CAT - 2019
CAT
Quantitative Aptitude
Square and Square Roots
What is the largest positive integer n such that
\(\frac{n^2+7n+12}{n^2-n-12}\)
is also a positive integer?
CAT - 2019
CAT
Quantitative Aptitude
Integers
In 2010, a library contained a total of 11500 books in two categories -fiction and nonfiction. In 2015, the library contained a total of 12760 books in these two categories. During this period, there was 10% increase in the fiction category while there was 12% increase in the non-fiction category. How many fiction books were in the library in 2015?
CAT - 2019
CAT
Quantitative Aptitude
Percentages
A person invested a total amount of Rs 15 lakh. A part of it was invested in a fixed deposit earning 6% annual interest, and the remaining amount was invested in two other deposits in the ratio 2 : 1, earning annual interest at the rates of 4% and 3%, respectively. If the total annual interest income is Rs 76000 then the amount (in Rs lakh) invested in the fixed deposit was
CAT - 2019
CAT
Quantitative Aptitude
Compound Interest
Amala, Bina, and Gouri invest money in the ratio 3 : 4 : 5 in fixed deposits having respective annual interest rates in the ratio 6 : 5 : 4. What is their total interest income (in Rs) after a year, if Bina's interest income exceeds Amala's by Rs 250?
CAT - 2019
CAT
Quantitative Aptitude
Simple Interest
With rectangular axes of coordinates, the number of paths from (1,1) to (8,10) via (4,6), where each step from any point (x, y) is either to (x, y+1) or to (x+1, y), is
CAT - 2019
CAT
Quantitative Aptitude
Geometry
The base of a regular pyramid is a square and each of the other four sides is an equilateral triangle, length of each side being 20 cm. The vertical height of the pyramid, in cm, is
CAT - 2019
CAT
Quantitative Aptitude
Mensuration
A man makes complete use of 405 cc of iron, 783 cc of aluminium, and 351 cc of copper to make a number of solid right circular cylinders of each type of metal. These cylinders have the same volume and each of these has radius 3 cm. If the total number of cylinders is to be kept at a minimum, then the total surface area of all these cylinders, in sq cm, is
CAT - 2019
CAT
Quantitative Aptitude
Mensuration
Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six of these at a profit of 25% and the remaining four at a loss of 25%. If he made a total profit of Rs. 2000, then his purchase price of a bicycle, in Rupees, was
CAT - 2019
CAT
Quantitative Aptitude
Profit & Loss
John jogs on track A at 6 kmph and Mary jogs on track B at 7.5 kmph. The total length of tracks A and B is 325 metres. While John makes 9 rounds of track A, Mary makes 5 rounds of track B. In how many seconds will Mary make one round of track A?
CAT - 2019
CAT
Quantitative Aptitude
Time and Work
A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motor cycle leaves A and moves towards B. Forty-five such motor cycles reach B by 11 am. All motor cycles have the same speed. If the cyclist had doubled his speed, how many motor cycles would have reached B by the time the cyclist reached B?
CAT - 2019
CAT
Quantitative Aptitude
Time and Work
At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency?
CAT - 2019
CAT
Quantitative Aptitude
Time and Work
Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done 10% of the job, then in how many days was the job done?
CAT - 2019
CAT
Quantitative Aptitude
Time and Work
Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days?
CAT - 2019
CAT
Quantitative Aptitude
Time and Work
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