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GMAT · Practice Sheet 49

Sheet code: GMAT-S49 · 20 questions

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

    Find the average of these 6 numbers: 79, 31, 74, 74, 82, 82.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  2. 2.
    Mathematics

    Find the sum of the first 4 terms of a GP with first term 6 and common ratio 2.

    Formula:GP Sum of n Terms
    Sn=a rn−1r−1S_n = a\,\dfrac{r^{n}-1}{r-1}
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  3. 3.
    Quantitative Aptitude

    An item is bought for $500 and sold for $550. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  4. 4.
    Mathematics

    Find term number 5 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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  5. 5.
    Quantitative Aptitude

    In how many ways can 4 objects be chosen from 7 distinct objects? (Find ⁿᴄᵣ for n = 7, r = 4.)

    Formula:Combinations
    nCr=n!r! (n−r)!^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}
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  6. 6.
    Quantitative Aptitude

    A can finish a job in 14 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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  7. 7.
    Mathematics

    Evaluate ∫ from 0 to 5 of 1x^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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  8. 8.
    Quantitative Aptitude

    The sum of the ages of two people is 81 years, and one is 11 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  9. 9.
    Quantitative Aptitude

    An item is bought for $700 and sold for $840. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  10. 10.
    Mathematics

    Find the distance between the points (7, 6) and (-7, 0).

    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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  11. 11.
    Mathematics

    In an arithmetic progression with first term 16 and common difference 6, find term number 24.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  12. 12.
    Quantitative Aptitude

    In how many ways can 3 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 3.)

    Formula:Permutations
    nPr=n!(n−r)!^{n}P_{r} = \dfrac{n!}{(n-r)!}
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  13. 13.
    Quantitative Aptitude

    Find the average of these 8 numbers: 89, 67, 76, 65, 29, 33, 56, 79.

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

    In how many ways can 4 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 4.)

    Formula:Permutations
    nPr=n!(n−r)!^{n}P_{r} = \dfrac{n!}{(n-r)!}
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  15. 15.
    Quantitative Aptitude

    What is 75% of 620?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  16. 16.
    Mathematics

    Find the slope of the line through (-1, 2) and (4, 7).

    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 vehicle covers 275 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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  18. 18.
    Quantitative Aptitude

    Two varieties costing $33 and $81 per kg are mixed to give a mixture worth $50 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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  19. 19.
    Quantitative Aptitude

    An item is bought for $300 and sold for $375. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
    View formula →
  20. 20.
    Mathematics

    Evaluate log base 3 of 243.

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