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Quantitative Aptitude
List of top Quantitative Aptitude Questions
The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is
CAT - 2021
CAT
Quantitative Aptitude
Probability
For a 4-digit number, the sum of its digits in the thousands, hundreds and tens places is 14, the sum of its digits in the hundreds, tens and units places is 15, and the tens place digit is 4 more than the units place digit. Then the highest possible 4-digit number satisfying the above conditions is
CAT - 2021
CAT
Quantitative Aptitude
Properties of Numbers
For all possible integers n satisfying 2.25 ≤ 2 + 2n + 2 ≤ 202, the number of integer values of 3 + 3n + 1 is
CAT - 2021
CAT
Quantitative Aptitude
Linear & Quadratic Equations
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 number of groups of three or more distinct numbers that can be chosen from1, 2, 3, 4, 5, 6, 7 and 8 so that the groups always include 3 and 5, while 7 and 8 are never included together is
CAT - 2021
CAT
Quantitative Aptitude
Permutation and Combination
A circle of diameter 8 inches is inscribed in a triangle ABC where ∠ABC = 90°. If BC = 10 inches then the area of the triangle in square inches is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
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
How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?
CAT - 2021
CAT
Quantitative Aptitude
Basics of Numbers
If 5 - log10 root 1 + x + 4 log10 root 1-x = log10 1/ 1-x2, then 100 x equals
CAT - 2021
CAT
Quantitative Aptitude
Logarithms
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
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
If the area of a regular hexagon is equal to the area of an equilateral triangle of side 12 cm, then the length, in cm, of each side of the hexagon is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
If
\(f(x)=x^2−7x\)
and
\(g(x)=x+3\)
, then the minimum value of
\(f(g(x))−3x\)
is
CAT - 2021
CAT
Quantitative Aptitude
Linear & Quadratic Equations
Bank A offers 6% interest rate per annum compounded half yearly. Bank B and Bank C offer simple interest but the annual interest rate offered by Bank C is twice that of Bank B. Raju invests a certain amount in Bank B for a certain period and Rupa invests ₹ 10,000 in Bank C for twice that period. The interest that would accrue to Raju during that period is equal to the interest that would have accrued had he invested the same amount in Bank A for one year. The interest accrued, in INR, to Rupa is
CAT - 2021
CAT
Quantitative Aptitude
Interest
If n is a positive integer such that
\((^7\sqrt{10})(^7\sqrt{10})^2).....(^7\sqrt{10})^n) > 999\)
, then the smallest value of n is
CAT - 2021
CAT
Quantitative Aptitude
Linear & Quadratic Equations
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
The number of distinct pairs of integers (m, n) satisfying
\(|1+mn| < |m+n| < 5\)
is
CAT - 2021
CAT
Quantitative Aptitude
Linear Inequalities
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
Consider a sequence of real numbers
\(x_1,x_2,x_3,…\)
such that
\(x_{n+1}=x_n+n−1\)
for all
\(n≥1\)
. If
\(x_1=−1\)
then
\(x_{100}\)
is equal to
CAT - 2021
CAT
Quantitative Aptitude
Sequence and Series
A shop owner bought a total of 64 shirts from a wholesale market that came in two sizes, small and large. The price of a small shirt was INR 50 less than that of a large shirt.She paid a total of INR 5000 for the large shirts, and a total of INR 1800 for the small shirts.Then, the price of a large shirt and a small shirt together, in INR, is
CAT - 2021
CAT
Quantitative Aptitude
Mixture Problems
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
If 3x+2|y|+y=7 and x+|x|+3y=1, then x+2y is
CAT - 2021
CAT
Quantitative Aptitude
Linear & Quadratic Equations
A park is shaped like a rhombus and has area 96 sq m. If 40 m of fencing is needed to enclose the park, the cost, in INR, of laying electric wires along its two diagonals, at the rate of ₹125 per m, is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
Let ABCD be a parallelogram. The lengths of the side AD and the diagonal AC are 10 cm and 20 cm, respectively. If the angle
\(∠ADC \)
is equal to 30° then the area of the parallelogram, in sq. cm, is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
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
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