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Quantitative Aptitude
List of top Quantitative Aptitude Questions
$le(x, y) = \text{Least of} \ (x, y)$
$mo(x) = |x|$
$me(x, y) = \text{Maximum of} \ (x, y)$
CAT - 1995
CAT
Quantitative Aptitude
Inequalities
What is the number $x$?
Statement I
I. The LCM of $x$ and 18 is 36.
Statement II
II. The HCF of $x$ and 18 is 2.
CAT - 1995
CAT
Quantitative Aptitude
Number System
Is $x + y - z + t$ even?
Statement I
I. $x + y + t$ is even.
Statement II
II. $t$ and $z$ are od(d)
CAT - 1995
CAT
Quantitative Aptitude
Number System
If $x, y$ and $z$ are real numbers, is $z - x$ even or odd?
Statement I I. $xyz$ is od(d)
Statement II
II. $xy + yz + zx$ is even.
CAT - 1995
CAT
Quantitative Aptitude
Number System
What is the length of rectangle ABCD?
Statement I
I. Area of the rectangle is 48 square units.
Statement II
II. Length of the diagonal is 10 units.
CAT - 1995
CAT
Quantitative Aptitude
Number System
What is the value of $x$, if $x$ and $y$ are consecutive positive even integers?
Statement I
I. $(x - y)^2 = 4$
Statement II
II. $(x + y)^2<100$
CAT - 1995
CAT
Quantitative Aptitude
Number System
What is the first term of an arithmetic progression of positive integers?
Statement I
I. Sum of the squares of the first and the second term is 116.
Statement II
II. The fifth term is divisible by 7.
CAT - 1995
CAT
Quantitative Aptitude
Number System
What is the profit percentage?
Statement I
I. The cost price is 80 of the selling price.
Statement II
II. The profit is Rs. 50.
CAT - 1995
CAT
Quantitative Aptitude
Number System
What is the area of the triangle?
Statement I
I. Two sides are 41 cm each.
Statement II
II. The altitude to the third side is 9 cm long.
CAT - 1995
CAT
Quantitative Aptitude
Number System
What is the price of bananas?
Statement I
I. With Rs. 84, I can buy 14 bananas and 35 oranges.
Statement II
II. If price of bananas is reduced by 50, then we can buy 48 bananas in Rs. 12.
CAT - 1995
CAT
Quantitative Aptitude
Number System
A, B, C and D are four towns any three of which are non-collinear. Then the number of ways to construct three roads each joining a pair of towns so that the roads do not form a triangle is
CAT - 1995
CAT
Quantitative Aptitude
Combinatorics
Largest value of \( \min(2 + x^2, 6 - 3x) \), when \( x>0 \), is
CAT - 1995
CAT
Quantitative Aptitude
Optimization
A stockist wants to make some profit by selling sugar. He contemplates about various methods. Which of the following would maximise his profit? I. Sell sugar at 10% profit.
II. Use 900 g of weight instead of 1 kg.
III. Mix 10% impurities in sugar and selling sugar at cost price.
IV. Increase the price by 5% and reduce weights by 5%.
CAT - 1995
CAT
Quantitative Aptitude
Profit and Loss
What is the value of \( m \) which satisfies \( 3m^2 - 21m + 30<0 \)?
CAT - 1995
CAT
Quantitative Aptitude
Inequalities
The length of a ladder is exactly equal to the height of the wall it is leaning against. If lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then the height of the wall is
CAT - 1995
CAT
Quantitative Aptitude
Geometry
The rate of inflation was 1000%. Then what will be the cost of an article, which costs 6 units of currency now, 2 years from now?
CAT - 1995
CAT
Quantitative Aptitude
Compound Interest
Three bells chime at an interval of 18 min, 24 min and 32 min. At a certain time they begin to chime together. What length of time will elapse before they chime together again?
CAT - 1995
CAT
Quantitative Aptitude
Time and Work
A man can walk up a moving 'up' escalator in 30 s. The same man can walk down this moving 'up' escalator in 90 s. Assume that his walking speed is the same upwards and downwards. How much time will he take to walk up the escalator, when it is not moving?
CAT - 1995
CAT
Quantitative Aptitude
Time, Speed and Distance
Two positive integers differ by 4 and sum of their reciprocals is $\frac{10}{21}$. Then one of the numbers is
CAT - 1995
CAT
Quantitative Aptitude
Number System
One root of $x^2 + kx - 8 = 0$ is square of the other. Then the value of $k$ is
CAT - 1995
CAT
Quantitative Aptitude
Algebra
Two typists undertake to do a jo(b) The second typist begins working one hour after the first. Three hours after the first typist has begun working, there is still $\frac{9}{20}$ of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours would it take each one to do the whole job individually?
CAT - 1995
CAT
Quantitative Aptitude
Time and Work
The sides of a triangle are 5, 12 and 13 units. A rectangle is constructed, which is equal in area to the triangle, and has a width of 10 units. Then the perimeter of the rectangle is
CAT - 1995
CAT
Quantitative Aptitude
Mensuration
I live X floors above the ground floor of a high-rise building. It takes me 30 s per floor to walk down the steps and 2 s per floor to ride the lift. What is X, if the time taken to walk down the steps to the ground floor is the same as to wait for the lift for 7 min and then ride down?
CAT - 1995
CAT
Quantitative Aptitude
Time, Speed and Distance
A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?
CAT - 1995
CAT
Quantitative Aptitude
Arithmetic Progression
Three consecutive positive even numbers are such that thrice the first number exceeds double the third by 2, then the third number is:
CAT - 1995
CAT
Quantitative Aptitude
Algebra
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