UPSC CSAT · Practice Sheet 45

1. 1.

   Quantitative Aptitude

   The sum of the ages of two people is 32 years, and one is 10 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

   View formula →
2. 2.

   Quantitative Aptitude

   What is 15% of 300?

   Formula:Percentage of a Number

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

   View formula →
3. 3.

   Quantitative Aptitude

   Find the average of these 8 numbers: 36, 79, 48, 55, 84, 87, 90, 39.

   Formula:Arithmetic Mean

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

   View formula →
4. 4.

   Quantitative Aptitude

   The sum of the ages of two people is 42 years, and one is 8 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

   View formula →
5. 5.

   Quantitative Aptitude

   Two varieties costing ₹10 and ₹62 per kg are mixed to give a mixture worth ₹48 per kg. Find the mixing ratio.

   Formula:Alligation (Mixtures)

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

   View formula →
6. 6.

   Quantitative Aptitude

   Find the HCF and LCM of 31 and 25.

   Formula:LCM & HCF

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

   View formula →
7. 7.

   Quantitative Aptitude

   Find the average of these 10 numbers: 65, 60, 89, 25, 60, 49, 30, 84, 32, 83.

   Formula:Arithmetic Mean

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

   View formula →
8. 8.

   Quantitative Aptitude

   Two varieties costing ₹39 and ₹90 per kg are mixed to give a mixture worth ₹66 per kg. Find the mixing ratio.

   Formula:Alligation (Mixtures)

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

   View formula →
9. 9.

   Quantitative Aptitude

   The marked price of an item is ₹1,900. After a 15% discount, find the selling price.

   Formula:Discount & Selling Price

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

   View formula →
10. 10.

    Quantitative Aptitude

    What is 40% of 320?

    Formula:Percentage of a Number

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

    View formula →
11. 11.

    Quantitative Aptitude

    The marked price of an item is ₹700. After a 20% discount, find the selling price.

    Formula:Discount & Selling Price

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

    View formula →
12. 12.

    Quantitative Aptitude

    Find the compound interest on ₹11,000 at 10% per annum compounded annually for 3 years.

    Formula:Compound Interest

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

    View formula →
13. 13.

    Quantitative Aptitude

    Find the simple interest on ₹44,000 at 12% per annum for 2 year(s).

    Formula:Simple Interest

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

    View formula →
14. 14.

    Quantitative Aptitude

    A vehicle covers 232 km in 4 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

    View formula →
15. 15.

    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 →
16. 16.

    Quantitative Aptitude

    What is 20% of 340?

    Formula:Percentage of a Number

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

    View formula →
17. 17.

    Quantitative Aptitude

    Two varieties costing ₹28 and ₹84 per kg are mixed to give a mixture worth ₹61 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

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

    View formula →
18. 18.

    Quantitative Aptitude

    Divide ₹1,300 between two people in the ratio 6:4. How much does each receive?

    Formula:Sharing in a Ratio

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

    View formula →
19. 19.

    Quantitative Aptitude

    An item is bought for ₹400 and sold for ₹500. Find the profit percentage.

    Formula:Profit Percentage

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

    View formula →
20. 20.

    Quantitative Aptitude

    Find the HCF and LCM of 16 and 21.

    Formula:LCM & HCF

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

    View formula →

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