SSC & Banking · Practice Sheet 17

1. 1.

   Quantitative Aptitude

   A invests ₹9,000 and B invests ₹10,000 for the same period. If the total profit is ₹8,000, find A's share.

   Formula:Partnership (profit share)

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

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2. 2.

   Mathematics

   Find the distance between the points (-7, 6) and (-3, -4).

   Formula:Distance Between Two Points

   $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

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3. 3.

   Quantitative Aptitude

   What is 60% of 620?

   Formula:Percentage of a Number

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

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4. 4.

   Mathematics

   In an arithmetic progression with first term 12 and common difference 2, find term number 23.

   Formula:AP nth Term

   $a_n = a + (n-1)d$

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5. 5.

   Quantitative Aptitude

   Find the average of these 8 numbers: 56, 36, 39, 69, 57, 24, 38, 56.

   Formula:Arithmetic Mean

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

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6. 6.

   Quantitative Aptitude

   Pipe A fills a tank in 11 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

   The marked price of an item is ₹700. After a 40% discount, find the selling price.

   Formula:Discount & Selling Price

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

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8. 8.

   Quantitative Aptitude

   What is 40% of 1,180?

   Formula:Percentage of a Number

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

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9. 9.

   Quantitative Aptitude

   Pipe A fills a tank in 7 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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10. 10.

    Quantitative Aptitude

    Find the average of these 10 numbers: 71, 80, 43, 57, 87, 32, 73, 41, 69, 49.

    Formula:Arithmetic Mean

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

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11. 11.

    Quantitative Aptitude

    The marked price of an item is ₹1,900. After a 40% discount, find the selling price.

    Formula:Discount & Selling Price

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

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12. 12.

    Quantitative Aptitude

    Divide ₹2,772 between two people in the ratio 5:7. 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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13. 13.

    Quantitative Aptitude

    A can finish a job in 15 days and B in 5 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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14. 14.

    Mathematics

    Find the distance between the points (7, -5) and (7, 2).

    Formula:Distance Between Two Points

    $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

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15. 15.

    Quantitative Aptitude

    A value changes from 800 to 400. Find the percentage decrease.

    Formula:Percentage Change

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

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16. 16.

    Quantitative Aptitude

    Pipe A fills a tank in 7 hours and pipe B in 12 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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17. 17.

    Quantitative Aptitude

    Find the simple interest on ₹33,000 at 12% per annum for 2 year(s).

    Formula:Simple Interest

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

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18. 18.

    Quantitative Aptitude

    A can finish a job in 19 days and B in 14 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 vehicle covers 438 km in 6 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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20. 20.

    Quantitative Aptitude

    Find the average of these 10 numbers: 73, 32, 68, 41, 55, 80, 45, 20, 20, 79.

    Formula:Arithmetic Mean

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

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