SSC & Banking · Practice Sheet 40

1. 1.

   Quantitative Aptitude

   Find the compound interest on ₹6,000 at 20% per annum compounded annually for 3 years.

   Formula:Compound Interest

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

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2. 2.

   Quantitative Aptitude

   Find the average of these 5 numbers: 61, 53, 38, 59, 76.

   Formula:Arithmetic Mean

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

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3. 3.

   Quantitative Aptitude

   Divide ₹1,070 between two people in the ratio 5:5. 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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4. 4.

   Quantitative Aptitude

   Two varieties costing ₹30 and ₹65 per kg are mixed to give a mixture worth ₹52 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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5. 5.

   Quantitative Aptitude

   What is 75% of 920?

   Formula:Percentage of a Number

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

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6. 6.

   Quantitative Aptitude

   Pipe A fills a tank in 9 hours and pipe B in 14 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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7. 7.

   Quantitative Aptitude

   Divide ₹690 between two people in the ratio 2:4. 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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8. 8.

   Quantitative Aptitude

   A can finish a job in 12 days and B in 13 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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9. 9.

   Quantitative Aptitude

   Find the compound interest on ₹10,000 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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10. 10.

    Quantitative Aptitude

    Find the simple interest on ₹37,000 at 5% per annum for 6 year(s).

    Formula:Simple Interest

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

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11. 11.

    Quantitative Aptitude

    Pipe A fills a tank in 10 hours and pipe B in 4 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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12. 12.

    Quantitative Aptitude

    A value changes from 200 to 180. Find the percentage decrease.

    Formula:Percentage Change

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

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13. 13.

    Quantitative Aptitude

    Two varieties costing ₹12 and ₹81 per kg are mixed to give a mixture worth ₹24 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

    The marked price of an item is ₹1,100. After a 50% discount, find the selling price.

    Formula:Discount & Selling Price

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

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15. 15.

    Quantitative Aptitude

    Pipe A fills a tank in 8 hours and pipe B in 4 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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16. 16.

    Quantitative Aptitude

    Find the simple interest on ₹11,000 at 8% per annum for 5 year(s).

    Formula:Simple Interest

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

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17. 17.

    Quantitative Aptitude

    Find the compound interest on ₹4,000 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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18. 18.

    Quantitative Aptitude

    A can finish a job in 9 days and B in 13 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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19. 19.

    Quantitative Aptitude

    A invests ₹8,000 and B invests ₹2,000 for the same period. If the total profit is ₹6,000, find A's share.

    Formula:Partnership (profit share)

    $\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$

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20. 20.

    Quantitative Aptitude

    The sum of the ages of two people is 46 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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