GMAT · Practice Sheet 7

1. 1.

   Quantitative Aptitude

   What is 40% of 720?

   Formula:Percentage of a Number

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

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2. 2.

   Quantitative Aptitude

   A can finish a job in 19 days and B in 16 days. Working together, how long will they take?

   Formula:Time & Work (combined)

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

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3. 3.

   Quantitative Aptitude

   The marked price of an item is $1,700. After a 30% discount, find the selling price.

   Formula:Discount & Selling Price

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

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4. 4.

   Quantitative Aptitude

   Find the average of these 8 numbers: 55, 35, 47, 28, 49, 76, 42, 46.

   Formula:Arithmetic Mean

   $\bar{x} = \dfrac{\sum x}{n}$

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5. 5.

   Quantitative Aptitude

   What is 60% of 120?

   Formula:Percentage of a Number

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

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6. 6.

   Mathematics

   Evaluate ∫ from 0 to 4 of 2x^3 dx.

   Formula:Definite Integral of a Power

   $\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$

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7. 7.

   Mathematics

   Evaluate log base 10 of 100.

   Formula:Logarithm Evaluation

   $\log_{b}(b^{k}) = k$

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8. 8.

   Quantitative Aptitude

   A value changes from 800 to 960. Find the percentage increase.

   Formula:Percentage Change

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

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9. 9.

   Quantitative Aptitude

   Find the simple interest on $4,000 at 10% per annum for 4 year(s).

   Formula:Simple Interest

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

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10. 10.

    Quantitative Aptitude

    Find the average of these 5 numbers: 89, 45, 79, 81, 20.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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11. 11.

    Mathematics

    Find the binomial coefficient C(8, 3) — the coefficient of x^3 in (1 + x)^8.

    Formula:Binomial Coefficient

    $\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$

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12. 12.

    Quantitative Aptitude

    Find the average of these 6 numbers: 26, 44, 77, 25, 79, 71.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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13. 13.

    Quantitative Aptitude

    Pipe A fills a tank in 4 hours and pipe B in 9 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

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

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14. 14.

    Quantitative Aptitude

    The sum of the ages of two people is 78 years, and one is 18 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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15. 15.

    Quantitative Aptitude

    Find the simple interest on $23,000 at 5% per annum for 2 year(s).

    Formula:Simple Interest

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

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16. 16.

    Quantitative Aptitude

    The marked price of an item is $200. After a 30% discount, find the selling price.

    Formula:Discount & Selling Price

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

    View formula →
17. 17.

    Quantitative Aptitude

    Two varieties costing $21 and $96 per kg are mixed to give a mixture worth $79 per kg. Find the mixing ratio.

    Formula:Alligation (Mixtures)

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

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18. 18.

    Mathematics

    If f(x) = 2x³ + 6x² + 5x, find f′(1).

    Formula:Derivative of a Polynomial

    $\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$

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19. 19.

    Quantitative Aptitude

    The sum of the ages of two people is 32 years, and one is 12 years older than the other. Find their ages.

    Formula:Ages (linear equations)

    $x + (x+d) = S$

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20. 20.

    Mathematics

    Find the distance between the points (8, 3) and (-8, 2).

    Formula:Distance Between Two Points

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

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