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Quantitative Aptitude
List of top Quantitative Aptitude Questions
The sum of a two-digit number and the number obtained by reversing its digits is 99. If the digits differ by 3, what is the number?
CAT - 2014
CAT
Quantitative Aptitude
Number System
A boat covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km upstream and 24 km downstream in 6.5 hours. What is the speed of the boat in still water?
CAT - 2014
CAT
Quantitative Aptitude
Time, Speed and Distance
A man sells an article at a loss of 10%. If he had sold it for Rs. 50 more, he would have gained 5%. What is the cost price?
CAT - 2014
CAT
Quantitative Aptitude
Profit and Loss
The sum of the squares of three consecutive integers is 110. What is the smallest integer?
CAT - 2014
CAT
Quantitative Aptitude
Number System
The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and the second to the third is 5:8, what is the second number?
CAT - 2014
CAT
Quantitative Aptitude
Ratio and Proportion
If $\sin \theta + \cos \theta = \sqrt{2}$, what is $\sin \theta \cos \theta$?
CAT - 2014
CAT
Quantitative Aptitude
Miscellaneous
If $3x = 4y = 12z$, what is the ratio $x:y:z$?
CAT - 2014
CAT
Quantitative Aptitude
Ratio and Proportion
The HCF of two numbers is 12, and their LCM is 144. If one number is 36, what is the other number?
CAT - 2014
CAT
Quantitative Aptitude
Number System
If $a^2 + b^2 = 25$ and $ab = 12$, what is $(a + b)^2$?
CAT - 2014
CAT
Quantitative Aptitude
Miscellaneous
A sum of Rs. 2000 is invested at 10% per annum compound interest. What is the amount after 2 years?
CAT - 2014
CAT
Quantitative Aptitude
Sequences and Series
What is the value of $2^{10}$?
CAT - 2014
CAT
Quantitative Aptitude
Miscellaneous
A car travels 240 km in 4 hours. What is its speed in km/h?
CAT - 2014
CAT
Quantitative Aptitude
Time, Speed and Distance
The cost price of an article is Rs. 400. If it is sold at a profit of 25%, what is the selling price?
CAT - 2014
CAT
Quantitative Aptitude
Profit and Loss
If $f(x) = x^2 + 2x + 1$, what is $f(3)$?
CAT - 2014
CAT
Quantitative Aptitude
Miscellaneous
The ratio of the ages of A and B is 3:4. Five years hence, the ratio will be 4:5. What is the present age of A?
CAT - 2014
CAT
Quantitative Aptitude
Ratio and Proportion
A sum of money doubles in 5 years at simple interest. In how many years will it become 4 times?
CAT - 2014
CAT
Quantitative Aptitude
Sequences and Series
If the roots of the equation $x^2 - 6x + k = 0$ are real and their product is 8, what is the value of $k$?
CAT - 2014
CAT
Quantitative Aptitude
Algebra
What is the value of $\log_2 8 + \log_3 9$?
CAT - 2014
CAT
Quantitative Aptitude
Miscellaneous
If $2x + 3y = 15$ and $x - y = 1$, what is the value of $x + y$?
CAT - 2014
CAT
Quantitative Aptitude
Miscellaneous
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less. What is the speed of the train?
CAT - 2014
CAT
Quantitative Aptitude
Time, Speed and Distance
The sum of the first $n$ terms of an arithmetic progression is $3n^2 + 2n$. What is the 10th term?
CAT - 2014
CAT
Quantitative Aptitude
Sequences and Series
A shopkeeper sells two types of items, A and B, at a profit of 20% and 30%, respectively. If the cost price of A is Rs. 100 and B is Rs. 200, and he sells 3 items of A and 2 items of B, what is the total profit?
CAT - 2014
CAT
Quantitative Aptitude
Profit and Loss
If $x + y = 10$ and $xy = 21$, what is the value of $x^2 + y^2$?
CAT - 2014
CAT
Quantitative Aptitude
Miscellaneous
A and B can do a job in 6 days. A alone takes 10 days. How long does B take?
CAT - 2013
CAT
Quantitative Aptitude
Time and Work
If $\log_2 x + \log_4 x = 3$, find $x$.
CAT - 2013
CAT
Quantitative Aptitude
Logarithms
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