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Quantitative Aptitude
List of top Quantitative Aptitude Questions
Every day Neera’s husband meets her at the city railway station at 6:00 p.m. and drives her to their residence. One day she left early from the office and reached the railway station at 5:00 p.m. She started walking towards her home, met her husband coming from their residence on the way, and they reached home 10 minutes earlier than the usual time. For how long did she walk?
CAT - 1991
CAT
Quantitative Aptitude
Arithmetic
Gopal went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 10% of the money for taxi fare. If he buys 20 mangoes, then the number of oranges he can buy is:
CAT - 1991
CAT
Quantitative Aptitude
Arithmetic
A sum of money compounded annually becomes Rs.625 in two years and Rs.675 in three years. The rate of interest per annum is:
CAT - 1991
CAT
Quantitative Aptitude
Compound Interest
In a six-node network, two nodes are connected to all the other nodes. Of the remaining four, each is connected to four nodes. What is the total number of links in the network?
CAT - 1991
CAT
Quantitative Aptitude
Graph Theory
If $x$ is a positive integer such that $2x + 12$ is divisible by $x$, then the number of possible values of $x$ is:
CAT - 1991
CAT
Quantitative Aptitude
Divisibility and Factors
A man walks one km east, two km north, one km east, one km north, one km east, one km north. What is the shortest distance from the starting point to the destination?
CAT - 1991
CAT
Quantitative Aptitude
Divisibility and Factors
A one rupee coin is placed on a table. The maximum number of similar one rupee coins which can be placed on the table, around it, with each one of them touching it and only two others is:
CAT - 1991
CAT
Quantitative Aptitude
Geometry
A calculator has two memory buttons, A and B. Value 1 is initially stored in both memory locations. The following sequence of steps is carried out five times:
- Add 1 to B
- Multiply A to B
- Store result in A
What is the value stored in memory location A after this procedure?
CAT - 1991
CAT
Quantitative Aptitude
Arithmetic
Let $k$ be a positive integer such that $k + 4$ is divisible by 7. Then the smallest positive integer $n>2$ such that $k + 2n$ is also divisible by 7 equals:
CAT - 1991
CAT
Quantitative Aptitude
Arithmetic
A third standard teacher gave a simple multiplication exercise to the kids. But one kid reversed the digits of both the numbers and carried out the multiplication and found that the product was exactly the same as the one expected by the teacher. Only one of the following pairs of numbers will fit in the description. Which one is that?
CAT - 1991
CAT
Quantitative Aptitude
Arithmetic
What is the greatest power of 5 which can divide $80!$ exactly?
CAT - 1991
CAT
Quantitative Aptitude
Arithmetic
$x, y, z$ are three positive integers such that $x>y>z$. Which of the following is closest to the product $xyz$?
CAT - 1991
CAT
Quantitative Aptitude
Arithmetic
Find the minimum integral value of $n$ such that the division $55n/124$ leaves no remainder.
CAT - 1991
CAT
Quantitative Aptitude
Divisibility and Factors
What was the ratio of schools having laboratory to those having library?
CAT - 1991
CAT
Quantitative Aptitude
Algebra
A player rolls a die and receives the same number of rupees as the number of dots on the face that turns up. What should the player pay for each roll if he wants to make a profit of one rupee per throw of the die in the long run?
CAT - 1991
CAT
Quantitative Aptitude
Probability
Three machines, A, B and C can be used to produce a product. Machine A takes 60 hours to produce a million units. Machine B is twice as fast as A. Machine C takes the same time as A and B together. How much time will be required to produce a million units using all three machines?
CAT - 1991
CAT
Quantitative Aptitude
Time and Work
There are 3 clubs A, B \& C in a town with 40, 50 \& 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?
CAT - 1991
CAT
Quantitative Aptitude
Set Theory
Let $Y = \min((x + 2), (3 - x))$. What is the maximum value of $Y$ for $0 \le x \le 1$?
CAT - 1991
CAT
Quantitative Aptitude
Functions
A square piece of cardboard of side 10 inches is taken and four equal square pieces are removed at the corners, such that the side of this square piece is also an integer value. The sides are then turned up to form an open box. Then the maximum volume such a box can have is:
CAT - 1991
CAT
Quantitative Aptitude
Mensuration
Let the consecutive vertices of a square S be A, B, C \& D. Let E, F \& G be the mid-points of the sides AB, BC \& AD respectively of the square. Then the ratio of the area of the quadrilateral EFDG to that of the square S is nearest to:
CAT - 1991
CAT
Quantitative Aptitude
Algebra
$2^{73} - 2^{72} - 2^{71}$ is the same as:
CAT - 1991
CAT
Quantitative Aptitude
Algebra
The number of integers $n$ satisfying $-n + 2 \ge 0$ and $2n \ge 4$ is:
CAT - 1991
CAT
Quantitative Aptitude
Algebra
A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circumscribed circle?
CAT - 1991
CAT
Quantitative Aptitude
Algebra
How many schools had none of the three viz., laboratory, library or play-ground?
CAT - 1991
CAT
Quantitative Aptitude
Algebra
The sum of two integers is 10 and the sum of their reciprocals is $\frac{5}{12}$. Then the larger of these integers is:
CAT - 1991
CAT
Quantitative Aptitude
Functions
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