UPSC CSAT · Practice Sheet 50

1. 1.

   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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2. 2.

   Quantitative Aptitude

   Find the HCF and LCM of 19 and 24.

   Formula:LCM & HCF

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

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3. 3.

   Quantitative Aptitude

   Find the simple interest on ₹44,000 at 6% per annum for 3 year(s).

   Formula:Simple Interest

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

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4. 4.

   Quantitative Aptitude

   A can finish a job in 8 days and B in 6 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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5. 5.

   Quantitative Aptitude

   Find the simple interest on ₹39,000 at 6% per annum for 1 year(s).

   Formula:Simple Interest

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

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6. 6.

   Quantitative Aptitude

   Pipe A fills a tank in 5 hours and pipe B in 9 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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7. 7.

   Quantitative Aptitude

   A value changes from 500 to 375. Find the percentage decrease.

   Formula:Percentage Change

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

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8. 8.

   Quantitative Aptitude

   An item is bought for ₹700 and sold for ₹1,050. Find the profit percentage.

   Formula:Profit Percentage

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

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9. 9.

   Quantitative Aptitude

   The sum of the ages of two people is 64 years, and one is 16 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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10. 10.

    Quantitative Aptitude

    Two varieties costing ₹33 and ₹90 per kg are mixed to give a mixture worth ₹77 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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11. 11.

    Quantitative Aptitude

    Divide ₹1,242 between two people in the ratio 3:6. 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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12. 12.

    Quantitative Aptitude

    Find the HCF and LCM of 36 and 6.

    Formula:LCM & HCF

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

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13. 13.

    Quantitative Aptitude

    What is 30% of 200?

    Formula:Percentage of a Number

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

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14. 14.

    Quantitative Aptitude

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

    Formula:Simple Interest

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

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15. 15.

    Quantitative Aptitude

    Divide ₹2,710 between two people in the ratio 7:3. 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

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

    Formula:Discount & Selling Price

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

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17. 17.

    Quantitative Aptitude

    A vehicle covers 567 km in 7 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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18. 18.

    Quantitative Aptitude

    Find the HCF and LCM of 33 and 13.

    Formula:LCM & HCF

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

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19. 19.

    Quantitative Aptitude

    Two varieties costing ₹21 and ₹63 per kg are mixed to give a mixture worth ₹43 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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20. 20.

    Quantitative Aptitude

    Divide ₹1,001 between two people in the ratio 2:5. 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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