UPSC CSAT · Practice Sheet 1

1. 1.

   Quantitative Aptitude

   Pipe A fills a tank in 12 hours and pipe B in 6 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

   View formula →
2. 2.

   Quantitative Aptitude

   Find the HCF and LCM of 21 and 34.

   Formula:LCM & HCF

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

   View formula →
3. 3.

   Quantitative Aptitude

   Find the average of these 6 numbers: 64, 59, 89, 50, 77, 76.

   Formula:Arithmetic Mean

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

   View formula →
4. 4.

   Quantitative Aptitude

   What is 60% of 900?

   Formula:Percentage of a Number

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

   View formula →
5. 5.

   Quantitative Aptitude

   Find the compound interest on ₹17,000 at 20% per annum compounded annually for 2 years.

   Formula:Compound Interest

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

   View formula →
6. 6.

   Quantitative Aptitude

   An item is bought for ₹200 and sold for ₹220. Find the profit percentage.

   Formula:Profit Percentage

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

   View formula →
7. 7.

   Quantitative Aptitude

   What is 25% of 1,040?

   Formula:Percentage of a Number

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

   View formula →
8. 8.

   Quantitative Aptitude

   A can finish a job in 8 days and B in 15 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

   View formula →
9. 9.

   Quantitative Aptitude

   Two varieties costing ₹35 and ₹81 per kg are mixed to give a mixture worth ₹62 per kg. Find the mixing ratio.

   Formula:Alligation (Mixtures)

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

   View formula →
10. 10.

    Quantitative Aptitude

    Find the simple interest on ₹43,000 at 8% per annum for 6 year(s).

    Formula:Simple Interest

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

    View formula →
11. 11.

    Quantitative Aptitude

    Two varieties costing ₹34 and ₹77 per kg are mixed to give a mixture worth ₹68 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

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

    View formula →
12. 12.

    Quantitative Aptitude

    What is 60% of 860?

    Formula:Percentage of a Number

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

    View formula →
13. 13.

    Quantitative Aptitude

    An item is bought for ₹400 and sold for ₹520. Find the profit percentage.

    Formula:Profit Percentage

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

    View formula →
14. 14.

    Quantitative Aptitude

    The marked price of an item is ₹1,200. After a 5% discount, find the selling price.

    Formula:Discount & Selling Price

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

    View formula →
15. 15.

    Quantitative Aptitude

    The sum of the ages of two people is 75 years, and one is 17 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

    View formula →
16. 16.

    Quantitative Aptitude

    Pipe A fills a tank in 3 hours and pipe B in 14 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

    View formula →
17. 17.

    Quantitative Aptitude

    A vehicle covers 344 km in 8 hours. Find its average speed.

    Formula:Speed, Distance & Time

    $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

    View formula →
18. 18.

    Quantitative Aptitude

    What is 40% of 880?

    Formula:Percentage of a Number

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

    View formula →
19. 19.

    Quantitative Aptitude

    A value changes from 800 to 400. Find the percentage decrease.

    Formula:Percentage Change

    $\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$

    View formula →
20. 20.

    Quantitative Aptitude

    The sum of the ages of two people is 54 years, and one is 6 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

    View formula →

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