SSC & Banking · Practice Sheet 24

1. 1.

   Quantitative Aptitude

   The sum of the ages of two people is 42 years, and one is 12 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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2. 2.

   Quantitative Aptitude

   Two varieties costing ₹26 and ₹68 per kg are mixed to give a mixture worth ₹36 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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3. 3.

   Quantitative Aptitude

   A can finish a job in 10 days and B in 18 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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4. 4.

   Quantitative Aptitude

   The sum of the ages of two people is 59 years, and one is 3 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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5. 5.

   Quantitative Aptitude

   A vehicle covers 364 km in 7 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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6. 6.

   Quantitative Aptitude

   Find the HCF and LCM of 29 and 14.

   Formula:LCM & HCF

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

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7. 7.

   Quantitative Aptitude

   A invests ₹3,000 and B invests ₹7,000 for the same period. If the total profit is ₹16,000, find A's share.

   Formula:Partnership (profit share)

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

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8. 8.

   Quantitative Aptitude

   The sum of the ages of two people is 35 years, and one is 7 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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9. 9.

   Quantitative Aptitude

   Two varieties costing ₹39 and ₹63 per kg are mixed to give a mixture worth ₹55 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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10. 10.

    Quantitative Aptitude

    Find the compound interest on ₹15,000 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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11. 11.

    Quantitative Aptitude

    An item is bought for ₹800 and sold for ₹960. Find the profit percentage.

    Formula:Profit Percentage

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

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12. 12.

    Quantitative Aptitude

    Divide ₹756 between two people in the ratio 4:5. 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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13. 13.

    Quantitative Aptitude

    A vehicle covers 164 km in 2 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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14. 14.

    Quantitative Aptitude

    Find the average of these 6 numbers: 30, 73, 67, 42, 30, 82.

    Formula:Arithmetic Mean

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

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15. 15.

    Quantitative Aptitude

    A can finish a job in 13 days and B in 15 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

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16. 16.

    Quantitative Aptitude

    What is 40% of 460?

    Formula:Percentage of a Number

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

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17. 17.

    Quantitative Aptitude

    Two varieties costing ₹32 and ₹99 per kg are mixed to give a mixture worth ₹69 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

    An item is bought for ₹500 and sold for ₹625. Find the profit percentage.

    Formula:Profit Percentage

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

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19. 19.

    Mathematics

    Find the distance between the points (3, -5) and (2, 8).

    Formula:Distance Between Two Points

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

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20. 20.

    Quantitative Aptitude

    Pipe A fills a tank in 14 hours and pipe B in 5 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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