SSC & Banking · Practice Sheet 26

1. 1.

   Quantitative Aptitude

   An item is bought for ₹600 and sold for ₹840. Find the profit percentage.

   Formula:Profit Percentage

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

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2. 2.

   Quantitative Aptitude

   Two varieties costing ₹25 and ₹98 per kg are mixed to give a mixture worth ₹62 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

   Find the average of these 8 numbers: 28, 24, 76, 36, 68, 31, 71, 84.

   Formula:Arithmetic Mean

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

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4. 4.

   Quantitative Aptitude

   The sum of the ages of two people is 76 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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5. 5.

   Quantitative Aptitude

   A can finish a job in 14 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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6. 6.

   Quantitative Aptitude

   Find the compound interest on ₹4,000 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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7. 7.

   Quantitative Aptitude

   A can finish a job in 20 days and B in 13 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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8. 8.

   Mathematics

   Find the distance between the points (-1, 4) and (8, -1).

   Formula:Distance Between Two Points

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

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9. 9.

   Quantitative Aptitude

   What is 75% of 720?

   Formula:Percentage of a Number

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

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10. 10.

    Quantitative Aptitude

    The marked price of an item is ₹1,200. After a 40% discount, find the selling price.

    Formula:Discount & Selling Price

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

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11. 11.

    Quantitative Aptitude

    Pipe A fills a tank in 9 hours and pipe B in 10 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.

    Quantitative Aptitude

    What is 50% of 480?

    Formula:Percentage of a Number

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

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13. 13.

    Quantitative Aptitude

    An item is bought for ₹300 and sold for ₹330. Find the profit percentage.

    Formula:Profit Percentage

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

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14. 14.

    Quantitative Aptitude

    Find the HCF and LCM of 17 and 33.

    Formula:LCM & HCF

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

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15. 15.

    Quantitative Aptitude

    Divide ₹1,936 between two people in the ratio 6:2. 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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16. 16.

    Mathematics

    In an arithmetic progression with first term 15 and common difference 9, find term number 28.

    Formula:AP nth Term

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

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17. 17.

    Quantitative Aptitude

    Find the HCF and LCM of 28 and 21.

    Formula:LCM & HCF

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

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18. 18.

    Quantitative Aptitude

    The marked price of an item is ₹400. After a 25% 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

    Find the average of these 6 numbers: 29, 39, 88, 79, 87, 78.

    Formula:Arithmetic Mean

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

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20. 20.

    Mathematics

    In an arithmetic progression with first term 16 and common difference 2, find term number 25.

    Formula:AP nth Term

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

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