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CAT · Practice Sheet 14

Sheet code: CAT-S14 · 20 questions

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

    Find the compound interest on ₹10,000 at 10% per annum compounded annually for 3 years.

    Formula:Compound Interest
    A=P(1+R100)TA = P\left(1+\dfrac{R}{100}\right)^{T}
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  2. 2.
    Mathematics

    Find the sum of the first 20 terms of an AP with first term 19 and common difference 4.

    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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  3. 3.
    Quantitative Aptitude

    What is 20% of 500?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  4. 4.
    Quantitative Aptitude

    A value changes from 200 to 120. Find the percentage decrease.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  5. 5.
    Mathematics

    Evaluate log base 10 of 1,000.

    Formula:Logarithm Evaluation
    log⁡b(bk)=k\log_{b}(b^{k}) = k
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  6. 6.
    Quantitative Aptitude

    A invests ₹7,000 and B invests ₹6,000 for the same period. If the total profit is ₹24,000, find A's share.

    Formula:Partnership (profit share)
    ShareA=Profit×AA+B\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}
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  7. 7.
    Mathematics

    In an arithmetic progression with first term 14 and common difference 8, find term number 22.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  8. 8.
    Mathematics

    Find the sum of the first 21 terms of an AP with first term 15 and common difference 4.

    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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  9. 9.
    Quantitative Aptitude

    The marked price of an item is ₹2,000. After a 25% 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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  10. 10.
    Quantitative Aptitude

    An item is bought for ₹300 and sold for ₹390. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  11. 11.
    Quantitative Aptitude

    Find the simple interest on ₹44,000 at 5% per annum for 5 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  12. 12.
    Mathematics

    Find the distance between the points (6, -3) and (6, -4).

    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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  13. 13.
    Quantitative Aptitude

    Find the average of these 10 numbers: 42, 54, 34, 74, 81, 71, 32, 90, 64, 24.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  14. 14.
    Quantitative Aptitude

    Divide ₹1,600 between two people in the ratio 6:4. 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

    Two varieties costing ₹35 and ₹90 per kg are mixed to give a mixture worth ₹42 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)
    q1q2=p2−mm−p1\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}
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  16. 16.
    Quantitative Aptitude

    A can finish a job in 6 days and B in 18 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
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  17. 17.
    Quantitative Aptitude

    An item is bought for ₹600 and sold for ₹750. 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 term number 6 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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  19. 19.
    Mathematics

    Find the distance between the points (-4, 1) and (0, -6).

    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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  20. 20.
    Quantitative Aptitude

    A can finish a job in 4 days and B in 15 days. Working together, how long will they take?

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