SSC & Banking · Practice Sheet 33

1. 1.

   Quantitative Aptitude

   Pipe A fills a tank in 11 hours and pipe B in 10 hours. If both are opened together, how long to fill the tank?

   Formula:Pipes & Cisterns

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

   View formula →
2. 2.

   Quantitative Aptitude

   The sum of the ages of two people is 46 years, and one is 16 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

   View formula →
3. 3.

   Quantitative Aptitude

   The marked price of an item is ₹1,300. After a 10% discount, find the selling price.

   Formula:Discount & Selling Price

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

   View formula →
4. 4.

   Quantitative Aptitude

   Find the simple interest on ₹2,000 at 6% per annum for 3 year(s).

   Formula:Simple Interest

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

   View formula →
5. 5.

   Quantitative Aptitude

   A value changes from 600 to 660. Find the percentage increase.

   Formula:Percentage Change

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

   View formula →
6. 6.

   Quantitative Aptitude

   Two varieties costing ₹31 and ₹100 per kg are mixed to give a mixture worth ₹74 per kg. Find the mixing ratio.

   Formula:Alligation (Mixtures)

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

   View formula →
7. 7.

   Quantitative Aptitude

   A invests ₹8,000 and B invests ₹5,000 for the same period. If the total profit is ₹39,000, find A's share.

   Formula:Partnership (profit share)

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

   View formula →
8. 8.

   Mathematics

   Find the distance between the points (-5, -3) and (0, -5).

   Formula:Distance Between Two Points

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

   View formula →
9. 9.

   Quantitative Aptitude

   A invests ₹4,000 and B invests ₹2,000 for the same period. If the total profit is ₹8,000, find A's share.

   Formula:Partnership (profit share)

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

   View formula →
10. 10.

    Quantitative Aptitude

    Two varieties costing ₹10 and ₹71 per kg are mixed to give a mixture worth ₹26 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

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

    View formula →
11. 11.

    Quantitative Aptitude

    What is 60% of 820?

    Formula:Percentage of a Number

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

    View formula →
12. 12.

    Quantitative Aptitude

    Divide ₹840 between two people in the ratio 5:7. How much does each receive?

    Formula:Sharing in a Ratio

    $\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$

    View formula →
13. 13.

    Quantitative Aptitude

    Pipe A fills a tank in 11 hours and pipe B in 15 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

    A can finish a job in 18 days and B in 11 days. Working together, how long will they take?

    Formula:Time & Work (combined)

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

    View formula →
15. 15.

    Quantitative Aptitude

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

    Formula:Percentage Change

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

    View formula →
16. 16.

    Quantitative Aptitude

    An item is bought for ₹300 and sold for ₹345. Find the profit percentage.

    Formula:Profit Percentage

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

    View formula →
17. 17.

    Quantitative Aptitude

    A vehicle covers 355 km in 5 hours. Find its average speed.

    Formula:Speed, Distance & Time

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

    View formula →
18. 18.

    Quantitative Aptitude

    What is 15% of 1,200?

    Formula:Percentage of a Number

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

    View formula →
19. 19.

    Quantitative Aptitude

    Two varieties costing ₹28 and ₹94 per kg are mixed to give a mixture worth ₹58 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

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

    View formula →
20. 20.

    Quantitative Aptitude

    A invests ₹8,000 and B invests ₹3,000 for the same period. If the total profit is ₹19,000, find A's share.

    Formula:Partnership (profit share)

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

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.