SSC & Banking · Practice Sheet 2

1. 1.

   Quantitative Aptitude

   A invests ₹2,000 and B invests ₹3,000 for the same period. If the total profit is ₹24,000, find A's share.

   Formula:Partnership (profit share)

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

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2. 2.

   Mathematics

   In an arithmetic progression with first term 16 and common difference 9, find term number 5.

   Formula:AP nth Term

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

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3. 3.

   Quantitative Aptitude

   A value changes from 800 to 1,040. Find the percentage increase.

   Formula:Percentage Change

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

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4. 4.

   Quantitative Aptitude

   The sum of the ages of two people is 73 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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5. 5.

   Quantitative Aptitude

   Find the simple interest on ₹40,000 at 6% per annum for 4 year(s).

   Formula:Simple Interest

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

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6. 6.

   Quantitative Aptitude

   Find the HCF and LCM of 7 and 39.

   Formula:LCM & HCF

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

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7. 7.

   Quantitative Aptitude

   Find the simple interest on ₹28,000 at 5% per annum for 1 year(s).

   Formula:Simple Interest

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

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8. 8.

   Quantitative Aptitude

   Pipe A fills a tank in 9 hours and pipe B in 3 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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9. 9.

   Quantitative Aptitude

   Divide ₹1,197 between two people in the ratio 7:2. 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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10. 10.

    Quantitative Aptitude

    What is 10% of 1,040?

    Formula:Percentage of a Number

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

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11. 11.

    Quantitative Aptitude

    Find the simple interest on ₹38,000 at 6% per annum for 3 year(s).

    Formula:Simple Interest

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

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12. 12.

    Quantitative Aptitude

    A can finish a job in 5 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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13. 13.

    Quantitative Aptitude

    Two varieties costing ₹35 and ₹92 per kg are mixed to give a mixture worth ₹43 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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14. 14.

    Quantitative Aptitude

    A vehicle covers 448 km in 8 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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15. 15.

    Quantitative Aptitude

    An item is bought for ₹500 and sold for ₹700. Find the profit percentage.

    Formula:Profit Percentage

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

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16. 16.

    Quantitative Aptitude

    Two varieties costing ₹35 and ₹92 per kg are mixed to give a mixture worth ₹83 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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17. 17.

    Quantitative Aptitude

    An item is bought for ₹800 and sold for ₹1,040. Find the profit percentage.

    Formula:Profit Percentage

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

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18. 18.

    Quantitative Aptitude

    The marked price of an item is ₹400. After a 30% discount, find the selling price.

    Formula:Discount & Selling Price

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

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19. 19.

    Mathematics

    In an arithmetic progression with first term 4 and common difference 6, find term number 9.

    Formula:AP nth Term

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

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20. 20.

    Quantitative Aptitude

    What is 60% of 280?

    Formula:Percentage of a Number

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

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