SSC & Banking · Practice Sheet 49

1. 1.

   Quantitative Aptitude

   Divide ₹448 between two people in the ratio 5:2. 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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2. 2.

   Quantitative Aptitude

   What is 20% of 1,180?

   Formula:Percentage of a Number

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

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3. 3.

   Quantitative Aptitude

   A invests ₹7,000 and B invests ₹10,000 for the same period. If the total profit is ₹40,000, find A's share.

   Formula:Partnership (profit share)

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

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4. 4.

   Quantitative Aptitude

   A value changes from 300 to 240. Find the percentage decrease.

   Formula:Percentage Change

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

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5. 5.

   Quantitative Aptitude

   The sum of the ages of two people is 47 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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6. 6.

   Quantitative Aptitude

   A value changes from 900 to 810. Find the percentage decrease.

   Formula:Percentage Change

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

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7. 7.

   Quantitative Aptitude

   Two varieties costing ₹32 and ₹91 per kg are mixed to give a mixture worth ₹81 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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8. 8.

   Quantitative Aptitude

   A invests ₹2,000 and B invests ₹8,000 for the same period. If the total profit is ₹20,000, find A's share.

   Formula:Partnership (profit share)

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

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9. 9.

   Quantitative Aptitude

   Find the simple interest on ₹25,000 at 12% per annum for 5 year(s).

   Formula:Simple Interest

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

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10. 10.

    Quantitative Aptitude

    Find the average of these 6 numbers: 68, 64, 79, 51, 39, 30.

    Formula:Arithmetic Mean

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

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11. 11.

    Quantitative Aptitude

    An item is bought for ₹600 and sold for ₹750. Find the profit percentage.

    Formula:Profit Percentage

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

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12. 12.

    Quantitative Aptitude

    A invests ₹8,000 and B invests ₹4,000 for the same period. If the total profit is ₹34,000, find A's share.

    Formula:Partnership (profit share)

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

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13. 13.

    Quantitative Aptitude

    What is 50% of 1,060?

    Formula:Percentage of a Number

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

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14. 14.

    Quantitative Aptitude

    Find the simple interest on ₹4,000 at 6% per annum for 6 year(s).

    Formula:Simple Interest

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

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15. 15.

    Mathematics

    In an arithmetic progression with first term 3 and common difference 10, find term number 11.

    Formula:AP nth Term

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

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16. 16.

    Quantitative Aptitude

    A invests ₹6,000 and B invests ₹6,000 for the same period. If the total profit is ₹5,000, find A's share.

    Formula:Partnership (profit share)

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

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17. 17.

    Quantitative Aptitude

    A can finish a job in 14 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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18. 18.

    Quantitative Aptitude

    Pipe A fills a tank in 15 hours and pipe B in 12 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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19. 19.

    Quantitative Aptitude

    What is 40% of 280?

    Formula:Percentage of a Number

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

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20. 20.

    Quantitative Aptitude

    Find the HCF and LCM of 39 and 35.

    Formula:LCM & HCF

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

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