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Quantitative Aptitude
List of top Quantitative Aptitude Questions
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
If
\(x_0 = 1, x_1 = 2, and \space x_{n + 2} =\frac{ 1+x_{n+1}}{x_n}, n = 0, 1, 2, 3,...,\)
then
\(x_{2021}\)
is equal to?
CAT - 2021
CAT
Quantitative Aptitude
Linear Inequalities
For all real numbers x the condition |3x - 20| + |3x - 40| = 20 necessarily holds if
CAT - 2021
CAT
Quantitative Aptitude
Linear Inequalities
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
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 number of distinct pairs of integers (m, n) satisfying |1+mn| < |m+n| < 5 is
CAT - 2021
CAT
Quantitative Aptitude
Linear Inequalities
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
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
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 four-digit number is formed by using only the digits 1, 2 and 3 such that both 2 and 3 appear at least once. The number of all such four-digit numbers is
CAT - 2021
CAT
Quantitative Aptitude
Permutation and Combination
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
Let D and E be points on sides AB and AC, respectively, of a triangle ABC, such that AD : BD = 2 : 1 and AE : CE = 2 : 3. If the area of the triangle ADE is 8 sq cm, then the area of the triangle ABC, in sq cm, is
CAT - 2021
CAT
Quantitative Aptitude
Geometry
Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in 45 minutes, Amal completes exactly 3 more rounds than Mira. If they walk in opposite directions, then they meet for the first time exactly after 3 minutes. The number of rounds Mira walks in one hour is
CAT - 2021
CAT
Quantitative Aptitude
Time Speed and Distance
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
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