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GMAT · Practice Sheet 20

Sheet code: GMAT-S20 · 20 questions

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

    Find the HCF and LCM of 22 and 36.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  2. 2.
    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=xyx+yT = \dfrac{xy}{x+y}
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  3. 3.
    Quantitative Aptitude

    Find the compound interest on $7,000 at 10% 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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  4. 4.
    Quantitative Aptitude

    A vehicle covers 392 km in 7 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  5. 5.
    Quantitative Aptitude

    A value changes from 500 to 525. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  6. 6.
    Mathematics

    If f(x) = 5x³ + 1x² + 8x, find f′(3).

    Formula:Derivative of a Polynomial
    ddxxn=n x n−1\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}
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  7. 7.
    Mathematics

    In an arithmetic progression with first term 5 and common difference 3, find term number 20.

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

    Evaluate ∫ from 1 to 5 of 3x^2 dx.

    Formula:Definite Integral of a Power
    ∫pqaxn dx=an+1[xn+1]pq\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}
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  9. 9.
    Quantitative Aptitude

    Find the HCF and LCM of 25 and 11.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  10. 10.
    Mathematics

    Find term number 6 of a geometric progression with first term 1 and common ratio 3.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
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  11. 11.
    Quantitative Aptitude

    A value changes from 900 to 1,125. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  12. 12.
    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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  13. 13.
    Quantitative Aptitude

    A value changes from 800 to 920. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  14. 14.
    Quantitative Aptitude

    An item is bought for $200 and sold for $300. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  15. 15.
    Quantitative Aptitude

    Pipe A fills a tank in 15 hours and pipe B in 3 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns
    T=xyx+yT = \dfrac{xy}{x+y}
    View formula →
  16. 16.
    Mathematics

    If f(x) = 4x³ + 2x² + 2x, find f′(5).

    Formula:Derivative of a Polynomial
    ddxxn=n x n−1\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}
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  17. 17.
    Quantitative Aptitude

    A invests $7,000 and B invests $5,000 for the same period. If the total profit is $26,000, 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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  18. 18.
    Mathematics

    In an arithmetic progression with first term 16 and common difference 2, find term number 27.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  19. 19.
    Quantitative Aptitude

    Two varieties costing $33 and $61 per kg are mixed to give a mixture worth $44 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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  20. 20.
    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)
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