SSC & Banking · Practice Sheet 35

1. 1.

   Quantitative Aptitude

   Two varieties costing ₹26 and ₹88 per kg are mixed to give a mixture worth ₹74 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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2. 2.

   Quantitative Aptitude

   A invests ₹9,000 and B invests ₹10,000 for the same period. If the total profit is ₹27,000, 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

   Find the HCF and LCM of 14 and 7.

   Formula:LCM & HCF

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

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4. 4.

   Quantitative Aptitude

   A vehicle covers 445 km in 5 hours. Find its average speed.

   Formula:Speed, Distance & Time

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

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5. 5.

   Quantitative Aptitude

   The marked price of an item is ₹400. After a 10% discount, find the selling price.

   Formula:Discount & Selling Price

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

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6. 6.

   Quantitative Aptitude

   Find the simple interest on ₹36,000 at 8% per annum for 5 year(s).

   Formula:Simple Interest

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

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7. 7.

   Quantitative Aptitude

   Two varieties costing ₹23 and ₹65 per kg are mixed to give a mixture worth ₹42 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

   Pipe A fills a tank in 12 hours and pipe B in 8 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

   The marked price of an item is ₹1,900. After a 20% discount, find the selling price.

   Formula:Discount & Selling Price

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

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10. 10.

    Quantitative Aptitude

    What is 15% of 760?

    Formula:Percentage of a Number

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

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11. 11.

    Quantitative Aptitude

    Find the average of these 10 numbers: 87, 84, 23, 58, 43, 82, 29, 29, 41, 50.

    Formula:Arithmetic Mean

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

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12. 12.

    Quantitative Aptitude

    The marked price of an item is ₹600. After a 10% discount, find the selling price.

    Formula:Discount & Selling Price

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

    View formula →
13. 13.

    Quantitative Aptitude

    A vehicle covers 100 km in 2 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

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14. 14.

    Quantitative Aptitude

    Two varieties costing ₹26 and ₹81 per kg are mixed to give a mixture worth ₹42 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

    $\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$

    View formula →
15. 15.

    Quantitative Aptitude

    Pipe A fills a tank in 13 hours and pipe B in 11 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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16. 16.

    Quantitative Aptitude

    What is 10% of 1,080?

    Formula:Percentage of a Number

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

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17. 17.

    Quantitative Aptitude

    Two varieties costing ₹16 and ₹63 per kg are mixed to give a mixture worth ₹39 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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18. 18.

    Quantitative Aptitude

    What is 50% of 1,100?

    Formula:Percentage of a Number

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

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19. 19.

    Quantitative Aptitude

    A value changes from 300 to 330. Find the percentage increase.

    Formula:Percentage Change

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

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20. 20.

    Quantitative Aptitude

    An item is bought for ₹600 and sold for ₹900. Find the profit percentage.

    Formula:Profit Percentage

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

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