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Quantitative Aptitude
List of top Quantitative Aptitude Questions
One part of a hostel's monthly expenses is fixed, and the other part is proportional to the number of its boarders. The hostel collects ₹ 1600 per month from each boarder. When the number of boarders is 50, the profit of the hostel is ₹ 200 per boarder, and when the number of boarders is 75, the profit of the hostel is ₹ 250 per boarder. When the number of boarders is 80, the total profit of the hostel, in INR, will be
CAT - 2021
CAT
Quantitative Aptitude
Profit and Loss
The total of male and female populations in a city increased by 25% from 1970 to1980.During the same period,the male population increased by 40% while the female population increased by 20%. From 1980 to 1990, the female population increased by 25%. In 1990, if the female population is twice the male population, then the percentage increase in the total of male and female populations in the city from 1970 to 1990 is
CAT - 2021
CAT
Quantitative Aptitude
Percentage
The cost of fencing a rectangular plot is ₹ 200 per ft along one side, and ₹ 100 per ft along the three other sides. If the area of the rectangular plot is 60000 sq. ft, then the lowest possible cost of fencing all four sides, in INR, is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
For a real number a, if
\(\frac{log_{15}a+log_{32}a}{(log_{15}a)(log_{32}a)}= 4\)
, then a must lie in the range
CAT - 2021
CAT
Quantitative Aptitude
Logarithms
Anil invests some money at a fixed rate of interest, compounded annually. If the interests accrued during the second and third year are ₹ 806.25 and ₹ 866.72, respectively, the interest accrued, in INR, during the fourth year is nearest to
CAT - 2021
CAT
Quantitative Aptitude
Interest
If a rhombus has area 12 sq cm and side length 5 cm, then the length, in cm, of its longer diagonal is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
The sides AB and CD of a trapezium ABCD are parallel, with AB being the smaller side. P is the midpoint of CD and ABPD is a parallelogram. If the difference between the areas of the parallelogram ABPD and the triangle BPC is 10 sq cm, then the area, in sq cm, of the trapezium ABCD is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%. Chintu's share of profit increases by ₹ 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is
CAT - 2021
CAT
Quantitative Aptitude
Profit and Loss
Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days,respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is
CAT - 2021
CAT
Quantitative Aptitude
Time and Work
Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they are paid a total of ₹ 21000 for the job, then the share of Charu, in INR, proportionate to the work done by him, is
CAT - 2021
CAT
Quantitative Aptitude
Time and Work
Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to
CAT - 2021
CAT
Quantitative Aptitude
Percentage
In a tournament, a team has played 40 matches so far and won 30% of them. If they win 60% of the remaining matches, their overall win percentage will be 50%. Suppose they win 90% of the remaining matches, then the total number of matches won by the team in the tournament will b
CAT - 2021
CAT
Quantitative Aptitude
Percentage
Onion is sold for 5 consecutive months at the rate of Rs 10, 20, 25, 25, and 50 per kg, respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that amount on onion for each of the next two months. The average expense for onion, in rupees per kg, for the family over these 5 months is closest to
CAT - 2021
CAT
Quantitative Aptitude
Average
For all real values of x, the range of the function
\(f(x) =\frac{ x^2+2x+4}{2x^2+4x+9}\)
is
CAT - 2021
CAT
Quantitative Aptitude
Linear & Quadratic Equations
If 3x+2|y|+y=7 and x+|x|+3y=1, then x+2y is
CAT - 2021
CAT
Quantitative Aptitude
Linear & Quadratic Equations
The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), …..and so on. Then, the sum of the numbers in the 15th group is equal to
CAT - 2021
CAT
Quantitative Aptitude
Basics of Numbers
Suppose hospital A admitted 21 less Covid infected patients than hospital B, and all eventually recovered. The sum of recovery days for patients in hospitals A and B were 200 and 152, respectively. If the average recovery days for patients admitted in hospital A was 3 more than the average in hospital B then the number admitted in hospital A was
CAT - 2021
CAT
Quantitative Aptitude
Average
Amal purchases some pens at ₹ 8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at ₹ 12 each. If the remaining pens are sold at ₹ 11each, then he makes a net profit of ₹ 300, while he makes a net loss of ₹ 300 if the remaining pens are sold at ₹ 9 each. The wage of the employee, in INR, is
CAT - 2021
CAT
Quantitative Aptitude
Profit and Loss
Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in 1 year, Akbar and Anthony can complete in 16 months, Anthony and Amar can complete in 2 years. If the person who is neither the fastest nor the slowest works alone, the time in months he will take to complete the project is
CAT - 2021
CAT
Quantitative Aptitude
Mixture Problems
The arithmetic mean of scores of 25 students in an examination is 50. Five of these students top the examination with the same score. If the scores of the other students are distinct integers with the lowest being 30, then the maximum possible score of the toppers is
CAT - 2021
CAT
Quantitative Aptitude
Arithmetic and Geometric Progressions
A box has 450 balls, each either white or black, there being as many metallic white balls as metallic black balls. If 40% of the white balls and 50% of the black balls are metallic, then the number of non-metallic balls in the box is
CAT - 2021
CAT
Quantitative Aptitude
Percentage
The number of distinct pairs of integers (m, n) satisfying |1+mn| < |m+n| < 5 is
CAT - 2021
CAT
Quantitative Aptitude
Linear Inequalities
If n is a positive integer such that (10−−√7)(10−−√7)2…(10−−√7)n > 999, then the smallest value of n is
CAT - 2021
CAT
Quantitative Aptitude
Linear & Quadratic Equations
The strength of an indigo solution in percentage is equal to the amount of indigo in grams per 100 cc of water. Two 800 cc bottles are filled with indigo solutions of strengths 33% and 17%, respectively. A part of the solution from the first bottle is thrown away and replaced by an equal volume of the solution from the second bottle. If the strength of the indigo solution in the first bottle has now changed to 21% then the volume, in cc, of the solution left in the second bottle is
CAT - 2021
CAT
Quantitative Aptitude
Mixture Problems
A tea shop offers tea in cups of three different sizes. The product of the prices, in INR, of three different sizes is equal to 800. The prices of the smallest size and the medium size are in the ratio 2 : 5. If the shop owner decides to increase the prices of the smallest and the medium ones by INR 6 keeping the price of the largest size unchanged, the product then changes to 3200. The sum of the original prices of three different sizes, in INR, is
CAT - 2021
CAT
Quantitative Aptitude
Ratio and Proportion
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