SSC & Banking · Practice Sheet 23

1. 1.

   Quantitative Aptitude

   Two varieties costing ₹20 and ₹86 per kg are mixed to give a mixture worth ₹34 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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2. 2.

   Mathematics

   Find the distance between the points (-2, -7) and (3, -8).

   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

   Find the simple interest on ₹43,000 at 5% per annum for 2 year(s).

   Formula:Simple Interest

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

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4. 4.

   Quantitative Aptitude

   A invests ₹6,000 and B invests ₹8,000 for the same period. If the total profit is ₹36,000, find A's share.

   Formula:Partnership (profit share)

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

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5. 5.

   Mathematics

   In an arithmetic progression with first term 8 and common difference 6, find term number 8.

   Formula:AP nth Term

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

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6. 6.

   Quantitative Aptitude

   A vehicle covers 102 km in 3 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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7. 7.

   Quantitative Aptitude

   A invests ₹9,000 and B invests ₹9,000 for the same period. If the total profit is ₹14,000, 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

   Two varieties costing ₹30 and ₹75 per kg are mixed to give a mixture worth ₹40 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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9. 9.

   Quantitative Aptitude

   A can finish a job in 4 days and B in 17 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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10. 10.

    Quantitative Aptitude

    Find the average of these 10 numbers: 30, 63, 62, 60, 58, 30, 69, 47, 63, 55.

    Formula:Arithmetic Mean

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

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11. 11.

    Quantitative Aptitude

    Divide ₹2,320 between two people in the ratio 3:5. 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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12. 12.

    Quantitative Aptitude

    An item is bought for ₹700 and sold for ₹805. Find the profit percentage.

    Formula:Profit Percentage

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

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13. 13.

    Quantitative Aptitude

    The marked price of an item is ₹300. After a 25% discount, find the selling price.

    Formula:Discount & Selling Price

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

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14. 14.

    Quantitative Aptitude

    The sum of the ages of two people is 86 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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15. 15.

    Quantitative Aptitude

    A can finish a job in 6 days and B in 20 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

    Two varieties costing ₹15 and ₹76 per kg are mixed to give a mixture worth ₹34 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

    $\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$

    View formula →
17. 17.

    Mathematics

    In an arithmetic progression with first term 2 and common difference 2, find term number 10.

    Formula:AP nth Term

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

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18. 18.

    Quantitative Aptitude

    Find the average of these 6 numbers: 20, 27, 28, 80, 90, 74.

    Formula:Arithmetic Mean

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

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19. 19.

    Quantitative Aptitude

    Pipe A fills a tank in 12 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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20. 20.

    Quantitative Aptitude

    What is 40% of 780?

    Formula:Percentage of a Number

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

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