UPSC CSAT · Practice Sheet 11

1. 1.

   Quantitative Aptitude

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

   Formula:Profit Percentage

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

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2. 2.

   Quantitative Aptitude

   Two varieties costing ₹13 and ₹87 per kg are mixed to give a mixture worth ₹39 per kg. Find the mixing ratio.

   Formula:Alligation (Mixtures)

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

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3. 3.

   Quantitative Aptitude

   A vehicle covers 402 km in 6 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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4. 4.

   Quantitative Aptitude

   The marked price of an item is ₹700. After a 5% discount, find the selling price.

   Formula:Discount & Selling Price

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

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5. 5.

   Quantitative Aptitude

   Two varieties costing ₹21 and ₹89 per kg are mixed to give a mixture worth ₹59 per kg. Find the mixing ratio.

   Formula:Alligation (Mixtures)

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

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6. 6.

   Quantitative Aptitude

   Find the compound interest on ₹19,000 at 10% per annum compounded annually for 3 years.

   Formula:Compound Interest

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

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7. 7.

   Quantitative Aptitude

   The sum of the ages of two people is 52 years, and one is 12 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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8. 8.

   Quantitative Aptitude

   Find the simple interest on ₹31,000 at 5% per annum for 5 year(s).

   Formula:Simple Interest

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

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9. 9.

   Quantitative Aptitude

   An item is bought for ₹900 and sold for ₹1,170. Find the profit percentage.

   Formula:Profit Percentage

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

   View formula →
10. 10.

    Quantitative Aptitude

    Divide ₹1,984 between two people in the ratio 6:2. How much does each receive?

    Formula:Sharing in a Ratio

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

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11. 11.

    Quantitative Aptitude

    The sum of the ages of two people is 78 years, and one is 12 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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12. 12.

    Quantitative Aptitude

    A can finish a job in 4 days and B in 7 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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13. 13.

    Quantitative Aptitude

    A vehicle covers 400 km in 5 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

    View formula →
14. 14.

    Quantitative Aptitude

    An item is bought for ₹600 and sold for ₹900. Find the profit percentage.

    Formula:Profit Percentage

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

    View formula →
15. 15.

    Quantitative Aptitude

    Divide ₹590 between two people in the ratio 6:4. How much does each receive?

    Formula:Sharing in a Ratio

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

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16. 16.

    Quantitative Aptitude

    A can finish a job in 4 days and B in 17 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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17. 17.

    Quantitative Aptitude

    Two varieties costing ₹16 and ₹61 per kg are mixed to give a mixture worth ₹29 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

    Find the HCF and LCM of 38 and 27.

    Formula:LCM & HCF

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

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19. 19.

    Quantitative Aptitude

    What is 40% of 660?

    Formula:Percentage of a Number

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

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20. 20.

    Quantitative Aptitude

    Find the average of these 6 numbers: 25, 66, 65, 65, 25, 62.

    Formula:Arithmetic Mean

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

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