SSC & Banking · Practice Sheet 46

1. 1.

   Quantitative Aptitude

   Pipe A fills a tank in 4 hours and pipe B in 5 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

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2. 2.

   Quantitative Aptitude

   A invests ₹8,000 and B invests ₹7,000 for the same period. If the total profit is ₹17,000, 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

   What is 30% of 460?

   Formula:Percentage of a Number

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

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4. 4.

   Quantitative Aptitude

   A vehicle covers 312 km in 6 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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5. 5.

   Mathematics

   In an arithmetic progression with first term 6 and common difference 9, find term number 10.

   Formula:AP nth Term

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

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6. 6.

   Mathematics

   Find the distance between the points (8, -5) and (6, -7).

   Formula:Distance Between Two Points

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

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7. 7.

   Quantitative Aptitude

   Find the average of these 5 numbers: 63, 20, 39, 48, 37.

   Formula:Arithmetic Mean

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

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8. 8.

   Quantitative Aptitude

   Find the HCF and LCM of 34 and 38.

   Formula:LCM & HCF

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

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9. 9.

   Quantitative Aptitude

   A vehicle covers 120 km in 2 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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10. 10.

    Quantitative Aptitude

    Find the compound interest on ₹5,000 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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11. 11.

    Quantitative Aptitude

    The marked price of an item is ₹1,100. After a 30% discount, find the selling price.

    Formula:Discount & Selling Price

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

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12. 12.

    Mathematics

    In an arithmetic progression with first term 15 and common difference 1, find term number 14.

    Formula:AP nth Term

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

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13. 13.

    Quantitative Aptitude

    Pipe A fills a tank in 12 hours and pipe B in 9 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

    View formula →
14. 14.

    Quantitative Aptitude

    Divide ₹1,808 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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15. 15.

    Quantitative Aptitude

    A can finish a job in 9 days and B in 12 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

    A invests ₹2,000 and B invests ₹8,000 for the same period. If the total profit is ₹30,000, 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 16 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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18. 18.

    Quantitative Aptitude

    Divide ₹1,773 between two people in the ratio 4:5. 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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19. 19.

    Quantitative Aptitude

    A value changes from 600 to 510. Find the percentage decrease.

    Formula:Percentage Change

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

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20. 20.

    Quantitative Aptitude

    Two varieties costing ₹11 and ₹62 per kg are mixed to give a mixture worth ₹25 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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