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SAT · Practice Sheet 44

Sheet code: SAT-S44 · 20 questions

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

    Find the average of these 5 numbers: 43, 65, 86, 26, 79.

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

    Two fair dice are rolled. What is the probability that the sum of the numbers is 10?

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

    A value changes from 500 to 375. Find the percentage decrease.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  4. 4.
    Quantitative Aptitude

    Two varieties costing AED 38 and AED 64 per kg are mixed to give a mixture worth AED 47 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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  5. 5.
    Quantitative Aptitude

    An item is bought for AED 400 and sold for AED 460. Find the profit percentage.

    Formula:Profit Percentage
    Profit%=SP−CPCP×100\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100
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  6. 6.
    Quantitative Aptitude

    Two varieties costing AED 21 and AED 83 per kg are mixed to give a mixture worth AED 28 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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  7. 7.
    Mathematics

    Find the slope of the line through (-2, 4) and (7, -5).

    Formula:Slope of a Line
    m=y2−y1x2−x1m = \dfrac{y_2-y_1}{x_2-x_1}
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  8. 8.
    Quantitative Aptitude

    In how many ways can 2 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 2.)

    Formula:Permutations
    nPr=n!(n−r)!^{n}P_{r} = \dfrac{n!}{(n-r)!}
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  9. 9.
    Mathematics

    In an arithmetic progression with first term 1 and common difference 6, find term number 10.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  10. 10.
    Quantitative Aptitude

    What is 75% of 240?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  11. 11.
    Mathematics

    Find the slope of the line through (5, -8) and (8, 0).

    Formula:Slope of a Line
    m=y2−y1x2−x1m = \dfrac{y_2-y_1}{x_2-x_1}
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  12. 12.
    Quantitative Aptitude

    Find the compound interest on AED 16,000 at 20% 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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  13. 13.
    Quantitative Aptitude

    Find the simple interest on AED 30,000 at 10% per annum for 5 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  14. 14.
    Quantitative Aptitude

    A vehicle covers 594 km in 9 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  15. 15.
    Quantitative Aptitude

    A value changes from 600 to 570. Find the percentage decrease.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  16. 16.
    Mathematics

    Find the slope of the line through (7, 3) and (-7, 0).

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

    Find term number 5 of a geometric progression with first term 3 and common ratio 2.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
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  18. 18.
    Quantitative Aptitude

    Find the average of these 6 numbers: 37, 74, 84, 75, 88, 40.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  19. 19.
    Mathematics

    Find the sum of the first 11 terms of an AP with first term 1 and common difference 2.

    Formula:AP Sum of n Terms
    Sn=n2 [2a+(n−1)d]S_n = \dfrac{n}{2}\,[2a+(n-1)d]
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  20. 20.
    Quantitative Aptitude

    Find the simple interest on AED 11,000 at 8% per annum for 4 year(s).

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