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CAT · Practice Sheet 36

Sheet code: CAT-S36 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Quantitative Aptitude

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

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  2. 2.
    Quantitative Aptitude

    Find the compound interest on ₹9,000 at 20% per annum compounded annually for 2 years.

    Formula:Compound Interest
    A=P(1+R100)TA = P\left(1+\dfrac{R}{100}\right)^{T}
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  3. 3.
    Mathematics

    In an arithmetic progression with first term 8 and common difference 4, find term number 26.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  4. 4.
    Mathematics

    Find the sum of the first 18 terms of an AP with first term 7 and common difference 8.

    Formula:AP Sum of n Terms
    Sn=n2 [2a+(n−1)d]S_n = \dfrac{n}{2}\,[2a+(n-1)d]
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  5. 5.
    Mathematics

    Find term number 7 of a geometric progression with first term 5 and common ratio 3.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
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  6. 6.
    Quantitative Aptitude

    The marked price of an item is ₹2,000. After a 20% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1−d100)SP = MP\left(1-\dfrac{d}{100}\right)
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  7. 7.
    Quantitative Aptitude

    A value changes from 800 to 680. Find the percentage decrease.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  8. 8.
    Quantitative Aptitude

    A can finish a job in 18 days and B in 19 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
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  9. 9.
    Quantitative Aptitude

    Pipe A fills a tank in 13 hours and pipe B in 9 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns
    T=xyx+yT = \dfrac{xy}{x+y}
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  10. 10.
    Quantitative Aptitude

    A can finish a job in 7 days and B in 9 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
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  11. 11.
    Quantitative Aptitude

    In how many ways can 4 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 4.)

    Formula:Permutations
    nPr=n!(n−r)!^{n}P_{r} = \dfrac{n!}{(n-r)!}
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  12. 12.
    Mathematics

    Find the sum of the first 7 terms of a GP with first term 6 and common ratio 3.

    Formula:GP Sum of n Terms
    Sn=a rn−1r−1S_n = a\,\dfrac{r^{n}-1}{r-1}
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  13. 13.
    Quantitative Aptitude

    What is 75% of 1,160?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  14. 14.
    Quantitative Aptitude

    Divide ₹2,568 between two people in the ratio 7:5. How much does each receive?

    Formula:Sharing in a Ratio
    Share=Total×partsum of parts\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}
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  15. 15.
    Quantitative Aptitude

    Find the simple interest on ₹50,000 at 4% per annum for 5 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  16. 16.
    Quantitative Aptitude

    The marked price of an item is ₹1,300. After a 15% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1−d100)SP = MP\left(1-\dfrac{d}{100}\right)
    View formula →
  17. 17.
    Quantitative Aptitude

    An item is bought for ₹500 and sold for ₹600. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  18. 18.
    Mathematics

    Find the distance between the points (4, 5) and (3, -7).

    Formula:Distance Between Two Points
    d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
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  19. 19.
    Mathematics

    Find the sum of the first 21 terms of an AP with first term 12 and common difference 1.

    Formula:AP Sum of n Terms
    Sn=n2 [2a+(n−1)d]S_n = \dfrac{n}{2}\,[2a+(n-1)d]
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  20. 20.
    Quantitative Aptitude

    Find the average of these 5 numbers: 58, 76, 88, 34, 56.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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