SSC & Banking · Practice Sheet 3

1. 1.

   Quantitative Aptitude

   An item is bought for ₹400 and sold for ₹560. Find the profit percentage.

   Formula:Profit Percentage

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

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2. 2.

   Quantitative Aptitude

   A invests ₹7,000 and B invests ₹4,000 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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3. 3.

   Quantitative Aptitude

   A vehicle covers 602 km in 7 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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4. 4.

   Quantitative Aptitude

   The sum of the ages of two people is 82 years, and one is 8 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

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5. 5.

   Quantitative Aptitude

   Find the average of these 10 numbers: 27, 86, 47, 24, 86, 44, 82, 62, 73, 54.

   Formula:Arithmetic Mean

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

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6. 6.

   Mathematics

   In an arithmetic progression with first term 15 and common difference 7, find term number 26.

   Formula:AP nth Term

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

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7. 7.

   Quantitative Aptitude

   The marked price of an item is ₹700. After a 5% 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

   Find the compound interest on ₹19,000 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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9. 9.

   Quantitative Aptitude

   A vehicle covers 255 km in 5 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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10. 10.

    Quantitative Aptitude

    Divide ₹975 between two people in the ratio 3:2. 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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11. 11.

    Quantitative Aptitude

    Find the HCF and LCM of 11 and 35.

    Formula:LCM & HCF

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

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12. 12.

    Mathematics

    Find the distance between the points (3, -6) and (6, -1).

    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

    The sum of the ages of two people is 39 years, and one is 19 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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14. 14.

    Quantitative Aptitude

    Find the average of these 10 numbers: 45, 64, 69, 31, 75, 72, 51, 89, 78, 89.

    Formula:Arithmetic Mean

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

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15. 15.

    Quantitative Aptitude

    Pipe A fills a tank in 14 hours and pipe B in 15 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

    A value changes from 700 to 525. Find the percentage decrease.

    Formula:Percentage Change

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

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17. 17.

    Quantitative Aptitude

    What is 10% of 620?

    Formula:Percentage of a Number

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

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18. 18.

    Quantitative Aptitude

    The marked price of an item is ₹800. After a 5% discount, find the selling price.

    Formula:Discount & Selling Price

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

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19. 19.

    Quantitative Aptitude

    Two varieties costing ₹38 and ₹82 per kg are mixed to give a mixture worth ₹73 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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20. 20.

    Quantitative Aptitude

    Divide ₹1,880 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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