UPSC CSAT · Practice Sheet 32

1. 1.

   Quantitative Aptitude

   A can finish a job in 6 days and B in 16 days. Working together, how long will they take?

   Formula:Time & Work (combined)

   $T = \dfrac{xy}{x+y}$

   View formula →
2. 2.

   Quantitative Aptitude

   Pipe A fills a tank in 14 hours and pipe B in 13 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

   $T = \dfrac{xy}{x+y}$

   View formula →
3. 3.

   Quantitative Aptitude

   The marked price of an item is ₹1,000. After a 25% discount, find the selling price.

   Formula:Discount & Selling Price

   $SP = MP\left(1-\dfrac{d}{100}\right)$

   View formula →
4. 4.

   Quantitative Aptitude

   Find the simple interest on ₹26,000 at 4% per annum for 5 year(s).

   Formula:Simple Interest

   $SI = \dfrac{P\times R\times T}{100}$

   View formula →
5. 5.

   Quantitative Aptitude

   Find the HCF and LCM of 36 and 33.

   Formula:LCM & HCF

   $\text{LCM}\times\text{HCF} = a\times b$

   View formula →
6. 6.

   Quantitative Aptitude

   Divide ₹1,976 between two people in the ratio 4:4. How much does each receive?

   Formula:Sharing in a Ratio

   $\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$

   View formula →
7. 7.

   Quantitative Aptitude

   Two varieties costing ₹31 and ₹77 per kg are mixed to give a mixture worth ₹56 per kg. Find the mixing ratio.

   Formula:Alligation (Mixtures)

   $\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$

   View formula →
8. 8.

   Quantitative Aptitude

   Find the average of these 5 numbers: 52, 52, 22, 54, 81.

   Formula:Arithmetic Mean

   $\bar{x} = \dfrac{\sum x}{n}$

   View formula →
9. 9.

   Quantitative Aptitude

   The sum of the ages of two people is 87 years, and one is 9 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

   View formula →
10. 10.

    Quantitative Aptitude

    Find the simple interest on ₹9,000 at 10% per annum for 4 year(s).

    Formula:Simple Interest

    $SI = \dfrac{P\times R\times T}{100}$

    View formula →
11. 11.

    Quantitative Aptitude

    Find the compound interest on ₹13,000 at 10% per annum compounded annually for 3 years.

    Formula:Compound Interest

    $A = P\left(1+\dfrac{R}{100}\right)^{T}$

    View formula →
12. 12.

    Quantitative Aptitude

    What is 25% of 820?

    Formula:Percentage of a Number

    $\text{Value} = \dfrac{P}{100}\times N$

    View formula →
13. 13.

    Quantitative Aptitude

    The sum of the ages of two people is 75 years, and one is 13 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

    View formula →
14. 14.

    Quantitative Aptitude

    An item is bought for ₹300 and sold for ₹390. Find the profit percentage.

    Formula:Profit Percentage

    $\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$

    View formula →
15. 15.

    Quantitative Aptitude

    What is 75% of 460?

    Formula:Percentage of a Number

    $\text{Value} = \dfrac{P}{100}\times N$

    View formula →
16. 16.

    Quantitative Aptitude

    The sum of the ages of two people is 76 years, and one is 2 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

    View formula →
17. 17.

    Quantitative Aptitude

    Find the simple interest on ₹21,000 at 8% per annum for 6 year(s).

    Formula:Simple Interest

    $SI = \dfrac{P\times R\times T}{100}$

    View formula →
18. 18.

    Quantitative Aptitude

    Find the HCF and LCM of 21 and 36.

    Formula:LCM & HCF

    $\text{LCM}\times\text{HCF} = a\times b$

    View formula →
19. 19.

    Quantitative Aptitude

    An item is bought for ₹600 and sold for ₹690. Find the profit percentage.

    Formula:Profit Percentage

    $\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$

    View formula →
20. 20.

    Quantitative Aptitude

    What is 50% of 140?

    Formula:Percentage of a Number

    $\text{Value} = \dfrac{P}{100}\times N$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.