SSC & Banking · Practice Sheet 42

1. 1.

   Quantitative Aptitude

   The sum of the ages of two people is 28 years, and one is 6 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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2. 2.

   Quantitative Aptitude

   Pipe A fills a tank in 4 hours and pipe B in 6 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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3. 3.

   Quantitative Aptitude

   Find the HCF and LCM of 32 and 6.

   Formula:LCM & HCF

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

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4. 4.

   Quantitative Aptitude

   Find the simple interest on ₹19,000 at 10% per annum for 4 year(s).

   Formula:Simple Interest

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

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5. 5.

   Quantitative Aptitude

   A vehicle covers 93 km in 3 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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6. 6.

   Quantitative Aptitude

   A can finish a job in 12 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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7. 7.

   Quantitative Aptitude

   A vehicle covers 201 km in 3 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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8. 8.

   Quantitative Aptitude

   The sum of the ages of two people is 71 years, and one is 17 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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9. 9.

   Quantitative Aptitude

   Find the HCF and LCM of 28 and 40.

   Formula:LCM & HCF

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

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10. 10.

    Quantitative Aptitude

    A vehicle covers 320 km in 4 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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11. 11.

    Quantitative Aptitude

    Pipe A fills a tank in 3 hours and pipe B in 11 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.

    Mathematics

    Find the distance between the points (-1, 1) and (-8, 3).

    Formula:Distance Between Two Points

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

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13. 13.

    Quantitative Aptitude

    Find the average of these 6 numbers: 46, 71, 64, 52, 75, 26.

    Formula:Arithmetic Mean

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

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14. 14.

    Quantitative Aptitude

    A invests ₹6,000 and B invests ₹2,000 for the same period. If the total profit is ₹39,000, find A's share.

    Formula:Partnership (profit share)

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

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15. 15.

    Quantitative Aptitude

    Find the HCF and LCM of 7 and 19.

    Formula:LCM & HCF

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

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16. 16.

    Mathematics

    In an arithmetic progression with first term 14 and common difference 3, find term number 11.

    Formula:AP nth Term

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

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17. 17.

    Quantitative Aptitude

    Find the simple interest on ₹46,000 at 10% per annum for 3 year(s).

    Formula:Simple Interest

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

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18. 18.

    Quantitative Aptitude

    An item is bought for ₹900 and sold for ₹1,080. Find the profit percentage.

    Formula:Profit Percentage

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

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19. 19.

    Quantitative Aptitude

    Divide ₹2,616 between two people in the ratio 7:5. 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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20. 20.

    Quantitative Aptitude

    A can finish a job in 8 days and B in 19 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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