SSC & Banking · Practice Sheet 19

1. 1.

   Quantitative Aptitude

   A can finish a job in 6 days and B in 8 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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2. 2.

   Quantitative Aptitude

   Find the compound interest on ₹16,000 at 20% per annum compounded annually for 3 years.

   Formula:Compound Interest

   $A = P\left(1+\dfrac{R}{100}\right)^{T}$

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3. 3.

   Quantitative Aptitude

   Divide ₹1,470 between two people in the ratio 7:3. 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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4. 4.

   Quantitative Aptitude

   Find the HCF and LCM of 16 and 22.

   Formula:LCM & HCF

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

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5. 5.

   Quantitative Aptitude

   An item is bought for ₹200 and sold for ₹300. Find the profit percentage.

   Formula:Profit Percentage

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

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6. 6.

   Quantitative Aptitude

   A invests ₹5,000 and B invests ₹3,000 for the same period. If the total profit is ₹29,000, find A's share.

   Formula:Partnership (profit share)

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

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7. 7.

   Quantitative Aptitude

   The marked price of an item is ₹800. After a 20% discount, find the selling price.

   Formula:Discount & Selling Price

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

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8. 8.

   Mathematics

   In an arithmetic progression with first term 13 and common difference 2, find term number 15.

   Formula:AP nth Term

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

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9. 9.

   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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10. 10.

    Quantitative Aptitude

    What is 10% of 180?

    Formula:Percentage of a Number

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

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11. 11.

    Quantitative Aptitude

    Two varieties costing ₹17 and ₹87 per kg are mixed to give a mixture worth ₹75 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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12. 12.

    Quantitative Aptitude

    A can finish a job in 7 days and B in 10 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

    Divide ₹1,204 between two people in the ratio 4:3. 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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14. 14.

    Quantitative Aptitude

    Two varieties costing ₹24 and ₹96 per kg are mixed to give a mixture worth ₹87 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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15. 15.

    Quantitative Aptitude

    A can finish a job in 8 days and B in 15 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

    Find the average of these 5 numbers: 81, 77, 79, 28, 39.

    Formula:Arithmetic Mean

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

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17. 17.

    Mathematics

    Find the distance between the points (2, 4) and (-3, 3).

    Formula:Distance Between Two Points

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

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18. 18.

    Quantitative Aptitude

    What is 60% of 540?

    Formula:Percentage of a Number

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

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19. 19.

    Mathematics

    In an arithmetic progression with first term 3 and common difference 10, find term number 19.

    Formula:AP nth Term

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

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20. 20.

    Quantitative Aptitude

    Find the HCF and LCM of 30 and 32.

    Formula:LCM & HCF

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

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