UPSC CSAT · Practice Sheet 6

1. 1.

   Quantitative Aptitude

   What is 25% of 800?

   Formula:Percentage of a Number

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

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2. 2.

   Quantitative Aptitude

   Find the compound interest on ₹3,000 at 20% per annum compounded annually for 2 years.

   Formula:Compound Interest

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

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3. 3.

   Quantitative Aptitude

   An item is bought for ₹700 and sold for ₹840. Find the profit percentage.

   Formula:Profit Percentage

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

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4. 4.

   Quantitative Aptitude

   Find the average of these 8 numbers: 27, 39, 84, 63, 23, 70, 23, 52.

   Formula:Arithmetic Mean

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

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5. 5.

   Quantitative Aptitude

   Find the simple interest on ₹4,000 at 6% per annum for 3 year(s).

   Formula:Simple Interest

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

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6. 6.

   Quantitative Aptitude

   Divide ₹1,232 between two people in the ratio 7:7. 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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7. 7.

   Quantitative Aptitude

   An item is bought for ₹200 and sold for ₹300. Find the profit percentage.

   Formula:Profit Percentage

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

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8. 8.

   Quantitative Aptitude

   The marked price of an item is ₹1,300. After a 15% discount, find the selling price.

   Formula:Discount & Selling Price

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

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9. 9.

   Quantitative Aptitude

   Find the simple interest on ₹2,000 at 10% per annum for 2 year(s).

   Formula:Simple Interest

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

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10. 10.

    Quantitative Aptitude

    Find the HCF and LCM of 22 and 20.

    Formula:LCM & HCF

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

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11. 11.

    Quantitative Aptitude

    An item is bought for ₹500 and sold for ₹650. Find the profit percentage.

    Formula:Profit Percentage

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

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12. 12.

    Quantitative Aptitude

    The marked price of an item is ₹900. After a 40% discount, find the selling price.

    Formula:Discount & Selling Price

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

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13. 13.

    Quantitative Aptitude

    Two varieties costing ₹31 and ₹90 per kg are mixed to give a mixture worth ₹67 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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14. 14.

    Quantitative Aptitude

    Pipe A fills a tank in 13 hours and pipe B in 7 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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15. 15.

    Quantitative Aptitude

    Two varieties costing ₹11 and ₹71 per kg are mixed to give a mixture worth ₹21 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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16. 16.

    Quantitative Aptitude

    A can finish a job in 15 days and B in 11 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 ₹22 and ₹75 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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18. 18.

    Quantitative Aptitude

    A vehicle covers 513 km in 9 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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19. 19.

    Quantitative Aptitude

    Find the average of these 6 numbers: 71, 89, 24, 71, 68, 57.

    Formula:Arithmetic Mean

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

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20. 20.

    Quantitative Aptitude

    A can finish a job in 12 days and B in 8 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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