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GMAT · Practice Sheet 46

Sheet code: GMAT-S46 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Mathematics

    In an arithmetic progression with first term 5 and common difference 3, find term number 27.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  2. 2.
    Quantitative Aptitude

    Two varieties costing $22 and $86 per kg are mixed to give a mixture worth $49 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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  3. 3.
    Mathematics

    Evaluate ∫ from 1 to 5 of 3x^1 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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  4. 4.
    Quantitative Aptitude

    What is 30% of 740?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  5. 5.
    Quantitative Aptitude

    A vehicle covers 190 km in 5 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  6. 6.
    Mathematics

    Evaluate ∫ from 1 to 4 of 4x^3 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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  7. 7.
    Mathematics

    If f(x) = 4x³ + 1x² + 8x, find f′(4).

    Formula:Derivative of a Polynomial
    ddxxn=n x n−1\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}
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  8. 8.
    Quantitative Aptitude

    Divide $2,457 between two people in the ratio 7:2. 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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  9. 9.
    Quantitative Aptitude

    Find the HCF and LCM of 13 and 6.

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

    Divide $434 between two people in the ratio 4:3. 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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  11. 11.
    Quantitative Aptitude

    Find the HCF and LCM of 21 and 35.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  12. 12.
    Quantitative Aptitude

    A value changes from 300 to 225. Find the percentage decrease.

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

    A invests $3,000 and B invests $2,000 for the same period. If the total profit is $19,000, 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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  14. 14.
    Quantitative Aptitude

    Find the average of these 8 numbers: 77, 44, 46, 35, 35, 48, 65, 25.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  15. 15.
    Quantitative Aptitude

    Two varieties costing $12 and $64 per kg are mixed to give a mixture worth $45 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.
    Mathematics

    Find the slope of the line through (0, -3) and (2, -6).

    Formula:Slope of a Line
    m=y2−y1x2−x1m = \dfrac{y_2-y_1}{x_2-x_1}
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  17. 17.
    Quantitative Aptitude

    A value changes from 900 to 1,035. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  18. 18.
    Quantitative Aptitude

    A invests $2,000 and B invests $6,000 for the same period. If the total profit is $17,000, 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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  19. 19.
    Quantitative Aptitude

    A can finish a job in 5 days and B in 17 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
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  20. 20.
    Quantitative Aptitude

    Find the simple interest on $20,000 at 5% per annum for 1 year(s).

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