UPSC CSE (Prelims) · CSAT Aptitude and Reasoning

Quantitative aptitude

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Find the compound interest on Rs. 20,000 at $5%$ per annum for $2$ years.
A trader buys an article for Rs. 2,000 and sells it for Rs. 2,600. Find the profit percentage.
A radio is marked at Rs. 20,000. A discount of $25%$ is given and then a tax of $20%$ is added to the discounted price. Find the amount to pay.
A box contains 7 red and 8 blue balls. Two balls are taken at random without replacement. Find the probability that they are of different colours.
Find the lowest common multiple (LCM) of $18$ and $30$ .
In an arithmetic progression the term number $6$ is $25$ and the term number $11$ is $45$ . Find the term number $22$ .
The price of a book rises from Rs. 80 to Rs. 92. Find the percentage increase.
Find the compound interest on Rs. 10,000 at $20%$ per annum for $2$ years.
A bus travels at $50 km h^{- 1}$ for $\frac{1}{2}$ hours. How far does it travel?
A radio is marked at Rs. 5,000. A discount of $25%$ is given and then a tax of $8%$ is added to the discounted price. Find the amount to pay.
A box contains 5 red and 5 blue balls. Two balls are taken at random without replacement. Find the probability that they are of different colours.
Find the highest common factor (HCF) of $6$ and $9$ .
In an arithmetic progression the term number $4$ is $21$ and the term number $8$ is $45$ . Find the term number $23$ .
Simplify $\frac{6}{8} \div \frac{2}{4}$ .
The mean of $6, 9, 6, 10, 6, 20, 19$ and $x$ is $10$ . Find $x$ .
A bag has 7 red and 4 blue marbles. One marble is picked at random. Find the probability that it is blue.
$45%$ of a number is $18$ . What is the number?
A bus travels at $72 km h^{- 1}$ for $\frac{1}{2}$ hours. How far does it travel?
A radio is marked at Rs. 10,000. A discount of $50%$ is given and then a tax of $15%$ is added to the discounted price. Find the amount to pay.
Find the lowest common multiple (LCM) of $20$ and $35$ .
In an arithmetic progression the term number $4$ is $18$ and the term number $8$ is $38$ . Find the term number $15$ .
Find the sum of the first $9$ terms of the arithmetic progression $4, 9, 14, 19, \dots$
The mean of $3, 11, 9, 18, 19, 9, 5$ and $x$ is $14$ . Find $x$ .
A bus travels at $40 km h^{- 1}$ for $\frac{3}{4}$ hours. How far does it travel?
A radio is marked at Rs. 4,000. A discount of $20%$ is given and then a tax of $15%$ is added to the discounted price. Find the amount to pay.
A can finish a job alone in $30$ days and B can finish it alone in $24$ days. A works alone for $3$ days and then B joins. For how many more days must they work together to finish the job?
Find the lowest common multiple (LCM) of $10$ and $35$ .
Find the term number $17$ of the arithmetic progression $3, 8, 13, 18, \dots$
Find the mean of $5, 16, 15, 18, 9, 1, 13$ .
A shop sells a shirt for Rs. 560 after a discount of $30%$ on the marked price. Find the marked price.
A radio is marked at Rs. 10,000. A discount of $20%$ is given and then a tax of $15%$ is added to the discounted price. Find the amount to pay.
Find the highest common factor (HCF) of $9$ and $12$ .
Find the term number $11$ of the arithmetic progression $8, 11, 14, 17, \dots$
Simplify $\frac{6}{8} \div \frac{5}{7}$ .
Find the median of $11, 1, 12, 5, 9, 9, 6$ .
The price of an item is Rs. 800. It is increased by $10%$ and the new price is then decreased by $20%$ . Find the final price.
Find the simple interest on Rs. 8,000 at $5%$ per annum for $4$ years.
A radio is marked at Rs. 5,000. A discount of $20%$ is given and then a tax of $10%$ is added to the discounted price. Find the amount to pay.
A can finish a job alone in $30$ days and B can finish it alone in $60$ days. A works alone for $3$ days and then B joins. For how many more days must they work together to finish the job?
A box contains 6 red and 7 blue balls. Two balls are taken one after the other without putting the first back. Find the probability that both are red.
Find the lowest common multiple (LCM) of $15$ and $20$ .
In an arithmetic progression the term number $6$ is $18$ and the term number $10$ is $34$ . Find the term number $25$ .
Find the term number $20$ of the arithmetic progression $9, 14, 19, 24, \dots$
Evaluate $4 \frac{1}{7} + 2 \frac{5}{6}$ and give the answer as an improper fraction or whole number.
Find the median of $1, 10, 15, 7, 18, 13, 8$ .
The price of a book rises from Rs. 60 to Rs. 70. Find the percentage increase.

Quantitative aptitude

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