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Quantitative Aptitude
List of top Quantitative Aptitude Questions
Regular polygons A and B have number of sides in the ratio
\(1:2\)
and interior angles in the ratio
\(3:4\)
.Then the number of sides of B equals
CAT - 2022
CAT
Quantitative Aptitude
Polygons
If a and b are non-negative real numbers such that a+2b=6, then the average of the maximum and minimum possible values of (a+b) is
CAT - 2022
CAT
Quantitative Aptitude
Averages
There are two containers of the same volume,first container half-filled with sugar syrup and the second container half-filled with milk.Half the content of the first container is transferred to the second container,and then the half of this mixture is transferred back to the first container.Next, half the content of the first container is transferred back to the second container.Then the ratio of sugar syrup and milk in the second container is
CAT - 2022
CAT
Quantitative Aptitude
Mixtures and Allegations
On day one,there are 100 particles in a laboratory experiment.On day n,where n≥2,one out of every n particles produces another particle.If the total number of particles in the laboratory experiment increases to 1000 on day m,then m equals
CAT - 2022
CAT
Quantitative Aptitude
Sequence and Series
The average of a non-decreasing sequence of N numbers
\(a_1,a_2,…,a_N\)
is 300.If
\(a_1\)
is replaced by
\(6a_1\)
, the new average becomes 400.Then,the number of possible values of
\(a_1\)
is
CAT - 2022
CAT
Quantitative Aptitude
Sequence and Series
In an election,there were four candidates and
\(80\%\)
of the registered voters casted their votes.One of the candidates received
\(30\%\)
of the casted votes while the other three candidates received the remaining casted votes in the proportion
\(1\ratio2\ratio3\)
.If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was
CAT - 2022
CAT
Quantitative Aptitude
Percentages
The number of integers greater than 2000 that can be formed with the digits 0,1,2,3,4,5 using each digit at most once,is
CAT - 2022
CAT
Quantitative Aptitude
Permutation and Combination
For some natural number n,assume that
\((15,000)!\)
is divisible by
\((n!)!\)
The largest possible value of n is
CAT - 2022
CAT
Quantitative Aptitude
Divisibility and Factors
In an examination,there were 75 questions.3 marks were awarded for each correct answer,1 mark was deducted for each wrong answer and 1 mark was awarded for each unattempted question.Rayan scored a total of 97 marks in the examination.If the number of unattempted questions was higher than the number of attempted questions,then the maximum number of correct answers that Rayan could have given in the examination is
CAT - 2022
CAT
Quantitative Aptitude
Linear & Quadratic Equations
Five students,including Amit,appear for an examination in which possible marks are integers between 0 and 50,both inclusive.The average marks for all the students is 38 and exactly three students got more than 32.If no two students got the same marks and Amit got the least marks among the five students,then the difference between the highest and lowest possible marks of Amit is
CAT - 2022
CAT
Quantitative Aptitude
Averages
The number of integer solutions of the equation
\((x^2−10)^{(x2−3x−10)}=1\)
is
CAT - 2022
CAT
Quantitative Aptitude
Number of integer solutions
Mr.Pinto invests one-fifth of his capital at
\(6\%\)
,one-third at
\(10\%\)
and the remaining at
\(1\%\)
,each rate being simple interest per annum.Then,the minimum number of years required for the cumulative interest income from these investments to equal or exceed his initial capital is
CAT - 2022
CAT
Quantitative Aptitude
Simple and Compound Both
Consider the arithmetic progression 3,7,11,…and let
\(A_n\)
denote the sum of the first n terms of this progression.Then the value of
\(\frac{1}{25}∑^{25}_{n=1}A_n\)
is
CAT - 2022
CAT
Quantitative Aptitude
Sequence and Series
Let ABCD be a parallelogram such that the coordinates of its three vertices A, B, C are (1, 1), (3, 4), and (−2, 8), respectively. Then, the coordinates of the vertex D are
CAT - 2022
CAT
Quantitative Aptitude
Coordinate Geometry
The number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons but no child gets an odd number of balloons, is
CAT - 2022
CAT
Quantitative Aptitude
Permutation and Combination
For natural numbers x,y, and z, if xy+yz=19 and yz+xz=51, then the minimum possible value of xyz is
CAT - 2022
CAT
Quantitative Aptitude
Maxima and Minima
Trains A and B start traveling at the same time towards each other with constant speeds from stations X and Y, respectively. Train A reaches station Y in 10 minutes while train B takes 9 minutes to reach station X after meeting train A. Then the total time taken, in minutes, by train B to travel from station Y to station X is
CAT - 2022
CAT
Quantitative Aptitude
Time and Work
The average of three integers is 13. When a natural number n is included, the average of these four integers remains an odd integer. The minimum possible value of n is
CAT - 2022
CAT
Quantitative Aptitude
Averages
Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3:5. If the total number of persons in the queue is less than 300, then the maximum possible number of persons standing ahead of Pinky is
CAT - 2022
CAT
Quantitative Aptitude
Ratio and Proportion
Ankita buys 4kg cashews, 14kg peanuts, and 6kg almonds when the cost of 7kg cashews is the same as that of 30kg peanuts or 9kg almonds. She mixes all three nuts and marks a price for the mixture in order to make a profit of ₹1752. She sells 4kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent buying almonds is
CAT - 2022
CAT
Quantitative Aptitude
Profit and Loss
The largest real value of a for which the equation
\( |x+a|+|x−1|=2\)
has an infinite number of solutions for x is
CAT - 2022
CAT
Quantitative Aptitude
Linear Inequalities
A donation box can receive only cheques of ₹100,₹250 and ₹500. On one good day,the donation box was found to contain exactly 100 cheques amounting to a total sum of ₹15250. Then, the maximum possible number of cheques of ₹500 that the donation box may have contained,is
CAT - 2022
CAT
Quantitative Aptitude
Linear & Quadratic Equations
If
\(c=\frac{16x}{y}+\frac{49y}{x} \)
for some non-zero real numbers x and y,then c cannot take the value
CAT - 2022
CAT
Quantitative Aptitude
Linear Inequalities
If
\((3+2\sqrt2)\)
is a root of the equation ax2 + bx + c = 0 and
\((4+2\sqrt3)\)
is a root of the equation ay
2
+ my + n = 0,where a,b,c,m and n are integers, then the value of
\((\frac{b}{m}+\frac{c−2b}{n})\)
is
CAT - 2022
CAT
Quantitative Aptitude
Common Roots
Consider six distinct natural numbers such that the average of the two smallest numbers is 14 and the average of the two largest numbers is 28. Then,the maximum possible value of the average of these six numbers is
CAT - 2022
CAT
Quantitative Aptitude
Averages
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