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Quantitative Aptitude
List of top Quantitative Aptitude Questions
What is the ratio of the volume of the given right circular cone to the one obtained from it?
I. The smaller cone is obtained by passing a plane parallel to the base and dividing the original height in the ratio 1:2.
II. The height and base of the new cone are one-third those of the original cone.
CAT - 1997
CAT
Quantitative Aptitude
Geometry
What is the area bounded by the two lines and the coordinate axes in the first quadrant?
I. The lines intersect at a point which also lies on $3x - 4y = 1$ and $7x - 8y = 5$.
II. The lines are perpendicular, and one of them intersects the Y-axis at an intercept of 4.
CAT - 1997
CAT
Quantitative Aptitude
Geometry
What is the speed of the car? I. The speed of a car is 10 km/hr more than that of a motorcycle.
II. The motorcycle takes 2 hr more than the car to cover 100 km.
CAT - 1997
CAT
Quantitative Aptitude
Geometry
A person is walking from Mali to Pali, which lies to its north-east. What is the distance between Mali and Pali?
I. When the person has covered $\frac{1}{3}$ the distance, he is 3 km east and 1 km north of Mali.
II. When the person has covered $\frac{2}{3}$ the distance, he is 6 km east and 2 km north of Mali.
CAT - 1997
CAT
Quantitative Aptitude
Geometry
What is the value of $x$ and $y$?
I. $3x + 2y = 45$
II. $10.5x + 7y = 157.5$
CAT - 1997
CAT
Quantitative Aptitude
Geometry
Is the number completely divisible by 99?
I. The number is divisible by 9 and 11 simultaneously.
II. If the digits of the number are reversed, the number is divisible by 9 and 11.
CAT - 1997
CAT
Quantitative Aptitude
Geometry
Three friends P, Q, R wear hats either black or white. Each sees the other two hats. What is the colour of P's hat?
I. P says he can see one black hat and one white hat.
II. Q says that he can see one white hat and one black hat.
CAT - 1997
CAT
Quantitative Aptitude
Geometry
If X had started the return journey from India at 2.55 a.m. on the same day that he reached there, after how much time would he reach Frankfurt?
CAT - 1997
CAT
Quantitative Aptitude
Time, Speed and Distance
What is X's average speed for the entire journey (to and fro)?
CAT - 1997
CAT
Quantitative Aptitude
Time, Speed and Distance
What is the value of $a^3 + b^3$?
I. $a^2 + b^2 = 22$
II. $ab = 3$
CAT - 1997
CAT
Quantitative Aptitude
Geometry
In $\triangle ABC$, points P, Q and R are the mid-points of sides AB, BC and CA respectively. If area of $\triangle ABC$ is 20 sq. units, find the area of $\triangle PQR$.
CAT - 1997
CAT
Quantitative Aptitude
Geometry
Raja starts working on February 25, 1996, and finishes the job on March 2, 1996. How much time would T and J take to finish the same job if both start on the same day as Raja?
CAT - 1997
CAT
Quantitative Aptitude
Time, Speed and Distance
Starting on February 25, 1996, if Raja had finished his job on April 2, 1996, when would T and S together likely to have completed the job, had they started on the same day as Raja?
CAT - 1997
CAT
Quantitative Aptitude
Time, Speed and Distance
If his journey, including stoppage, is covered at an average speed of 180 mph, what is the distance between Frankfurt and India?
CAT - 1997
CAT
Quantitative Aptitude
Time, Speed and Distance
In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side?
CAT - 1997
CAT
Quantitative Aptitude
Geometry
The value of each of a set of coins varies as the square of its diameter if its thickness remains constant, and it varies as the thickness if the diameter remains constant. If the diameter of two coins are in the ratio $4 : 3$, what should be the ratio of their thickness if the value of the first is four times that of the second?
CAT - 1997
CAT
Quantitative Aptitude
Ratio and Proportion
P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is 3 less than two times R, find the value of R.
CAT - 1997
CAT
Quantitative Aptitude
Number System
ABC is a three-digit number in which A $>$ 0. The value of ABC is equal to the sum of the factorials of its three digits. What is the value of B?
CAT - 1997
CAT
Quantitative Aptitude
Number System
Given that $x>y>z>0$. Which of the following is necessarily true?
CAT - 1997
CAT
Quantitative Aptitude
Functions
What is the value of ma$(10, 4, \text{le}(\text{la}(10, 5, 3), 5, 3))$?
CAT - 1997
CAT
Quantitative Aptitude
Functions
For $x = 15, y = 10, z = 9$, find the value of le$\big(x, \min(y, x-z), \ \text{le}(9, 8, \text{ma}(x, y, z))\big)$.
CAT - 1997
CAT
Quantitative Aptitude
Functions
A, B and C are defined as follows: $A = \frac{2.000004}{\sqrt{(2.000004)^2 + (4.000008)^2}}$
$B = \frac{3.000003}{\sqrt{(3.000003)^2 + (9.000009)^2}}$
$C = \frac{4.000002}{\sqrt{(4.000002)^2 + (8.000004)^2}}$
Which of the following is true about the values of the above three expressions?
CAT - 1997
CAT
Quantitative Aptitude
Algebra
Which of the following is true?
CAT - 1997
CAT
Quantitative Aptitude
Set Theory
If m and n are integers divisible by 5, which of the following is not necessarily true?
CAT - 1997
CAT
Quantitative Aptitude
Number System
A man earns $x%$ on the first Rs. 2{,}000 and $y%$ on the rest of his income. If he earns Rs. 700 from income of Rs. 4{,}000 and Rs. 900 from Rs. 5{,}000, find $x%$.
CAT - 1997
CAT
Quantitative Aptitude
Number System
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