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Quantitative Aptitude
List of top Quantitative Aptitude Questions
A number is increased by 25 and then decreased by 25. What is the net percentage change?
CAT - 2013
CAT
Quantitative Aptitude
Percentages
If information increases 20% per year, and memory space increases 10% per year from 2000 onwards (where 80% of total memory is already used), and usage grows at 45% more than current rate, when will there be shortage of memory?
CAT - 2013
CAT
Quantitative Aptitude
Percentage
A can complete a task in 15 days, B in 20 days. Together, how many days?
CAT - 2013
CAT
Quantitative Aptitude
Time & Work
A pipe fills a tank in 8 hours, another empties it in 12 hours. If both are opened, how long to fill?
CAT - 2013
CAT
Quantitative Aptitude
Time & Work
A shopkeeper sells two items at Rs. 1000 each. On one, he gains 25, and on the other, he loses 20. What is his overall profit or loss percentage?
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CAT
Quantitative Aptitude
Profit and Loss
An item is sold for Rs. 1200 at a 20 profit. Find the cost price.
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CAT
Quantitative Aptitude
Profit and Loss
A and B run a 1200m race. A gives B a 120m head start. A runs at 5 m/s, and B at 4 m/s. Who wins, and by how much time?
CAT - 2013
CAT
Quantitative Aptitude
Time Speed Distance
A car travels 240 km in 4 hours. What is its speed?
CAT - 2013
CAT
Quantitative Aptitude
Time, Speed and Distance
Two cars P and Q start from points A and B simultaneously. They meet 40 km from B. After meeting, they exchange speeds and return. They meet again 20 km from A. Find distance AB.
CAT - 2013
CAT
Quantitative Aptitude
Time, Speed and Distance
The area of a circle is 154 cm². Find its radius.
CAT - 2013
CAT
Quantitative Aptitude
Geometry
What is the maximum possible number of intersection points of 15 lines in a plane, assuming no two lines are parallel and no three are concurrent?
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CAT
Quantitative Aptitude
Geometry
If the angle bisector of \( \angle P \) meets \( QR \) at point \( M \), find the length of \( PM \).
CAT - 2013
CAT
Quantitative Aptitude
Geometry
An aquarium of size 100 cm × 80 cm × 60 cm is tilted along the 80 cm edge. Water spills until the water line reaches 1/3 of the base width. Find the height of water reduced when box is restored.
CAT - 2013
CAT
Quantitative Aptitude
Geometry
If the equations below hold true for triangles ABC and DEF:
\[ a(a + b + c) = d^2, b(a + b + c) = e^2, c(a + b + c) = f^2 \]
Then which of the following is always true of triangle DEF?
CAT - 2013
CAT
Quantitative Aptitude
Geometry
Find the number of positive divisors of 720.
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CAT
Quantitative Aptitude
Number System
Sujith says:
- Multiplying first two digits by 3 gives all ones.
- Multiplying next two digits by 6 gives all twos.
- Multiplying last two digits by 9 gives all threes.
What is the sum of digits in the number?
CAT - 2013
CAT
Quantitative Aptitude
Number System
What is the number of positive integers less than or equal to 1000 that are divisible by neither 2 nor 5?
CAT - 2013
CAT
Quantitative Aptitude
Number System
The ratio of ages of A and B is 3:5, and their sum is 64. What will be their age ratio after 5 years?
CAT - 2013
CAT
Quantitative Aptitude
Ratio
Rs. 6000 is invested at 7 simple interest per annum for 4 years. Find the total amount.
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CAT
Quantitative Aptitude
Simple Interest
A bag has 5 red and 7 blue balls. Two balls are drawn without replacement. What is the probability both are red?
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CAT
Quantitative Aptitude
Probability
The sum of an infinite geometric series is 12, and the first term is 8. Find the common ratio.
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CAT
Quantitative Aptitude
Geometric Progression
In how many ways can a committee of 3 be chosen from 6 people?
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CAT
Quantitative Aptitude
Permutation and Combination
Consider the curves:
\[ y = 2x^3 + 3x^2 + 4, y = 3x^2 - 2x + 8 \]
How many times do they intersect for
\( -3 \leq x \leq 2 \)?
CAT - 2013
CAT
Quantitative Aptitude
Polynomials
If $\log_2 x + \log_4 x = 3$, find $x$.
CAT - 2013
CAT
Quantitative Aptitude
Logarithms
Find the number of ways to arrange 6 distinct books on a shelf if 2 specific books must be adjacent.
CAT - 2013
CAT
Quantitative Aptitude
Permutations and Combinations
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