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GMAT · Practice Sheet 5

Sheet code: GMAT-S05 · 20 questions

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

    The marked price of an item is $1,100. After a 20% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1d100)SP = MP\left(1-\dfrac{d}{100}\right)
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  2. 2.
    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 6?

    Formula:Probability (two dice)
    P=favourabletotalP = \dfrac{\text{favourable}}{\text{total}}
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  3. 3.
    Quantitative Aptitude

    A vehicle covers 120 km in 3 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  4. 4.
    Mathematics

    Evaluate log base 10 of 1,000,000.

    Formula:Logarithm Evaluation
    logb(bk)=k\log_{b}(b^{k}) = k
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  5. 5.
    Mathematics

    Find the distance between the points (-4, -2) and (5, 0).

    Formula:Distance Between Two Points
    d=(x2x1)2+(y2y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
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  6. 6.
    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 5?

    Formula:Probability (two dice)
    P=favourabletotalP = \dfrac{\text{favourable}}{\text{total}}
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  7. 7.
    Mathematics

    In an arithmetic progression with first term 11 and common difference 6, find term number 18.

    Formula:AP nth Term
    an=a+(n1)da_n = a + (n-1)d
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  8. 8.
    Quantitative Aptitude

    An item is bought for $900 and sold for $1,035. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SPCPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  9. 9.
    Quantitative Aptitude

    A value changes from 800 to 720. Find the percentage decrease.

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  10. 10.
    Quantitative Aptitude

    Find the HCF and LCM of 32 and 30.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  11. 11.
    Mathematics

    In an arithmetic progression with first term 11 and common difference 5, find term number 25.

    Formula:AP nth Term
    an=a+(n1)da_n = a + (n-1)d
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  12. 12.
    Quantitative Aptitude

    A value changes from 800 to 880. Find the percentage increase.

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  13. 13.
    Mathematics

    Find term number 4 of a geometric progression with first term 1 and common ratio 3.

    Formula:GP nth Term
    an=arn1a_n = a\,r^{\,n-1}
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  14. 14.
    Quantitative Aptitude

    An item is bought for $800 and sold for $1,000. Find the profit percentage.

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

    The marked price of an item is $1,500. After a 10% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1d100)SP = MP\left(1-\dfrac{d}{100}\right)
    View formula →
  16. 16.
    Quantitative Aptitude

    A value changes from 800 to 760. Find the percentage decrease.

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  17. 17.
    Quantitative Aptitude

    Find the average of these 5 numbers: 35, 26, 50, 68, 49.

    Formula:Arithmetic Mean
    xˉ=xn\bar{x} = \dfrac{\sum x}{n}
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  18. 18.
    Mathematics

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

    Formula:Definite Integral of a Power
    pqaxndx=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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  19. 19.
    Quantitative Aptitude

    In how many ways can 2 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 2.)

    Formula:Permutations
    nPr=n!(nr)!^{n}P_{r} = \dfrac{n!}{(n-r)!}
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  20. 20.
    Quantitative Aptitude

    Divide $2,439 between two people in the ratio 2:7. 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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