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SAT · Practice Sheet 28

Sheet code: SAT-S28 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Mathematics

    In an arithmetic progression with first term 18 and common difference 9, find term number 5.

    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 AED 10 and AED 63 per kg are mixed to give a mixture worth AED 38 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.
    Quantitative Aptitude

    A vehicle covers 237 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.
    Quantitative Aptitude

    A value changes from 200 to 190. Find the percentage decrease.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  5. 5.
    Mathematics

    In an arithmetic progression with first term 9 and common difference 6, find term number 25.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  6. 6.
    Quantitative Aptitude

    Find the compound interest on AED 5,000 at 10% 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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  7. 7.
    Mathematics

    Find the binomial coefficient C(6, 4) — the coefficient of x^4 in (1 + x)^6.

    Formula:Binomial Coefficient
    (nr)=n!r! (n−r)!\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}
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  8. 8.
    Mathematics

    Find the distance between the points (-3, -2) and (5, 1).

    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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  9. 9.
    Quantitative Aptitude

    Two varieties costing AED 26 and AED 66 per kg are mixed to give a mixture worth AED 58 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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  10. 10.
    Quantitative Aptitude

    A value changes from 700 to 770. Find the percentage increase.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  11. 11.
    Mathematics

    Evaluate ∫ from 0 to 4 of 5x^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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  12. 12.
    Quantitative Aptitude

    Find the average of these 6 numbers: 27, 70, 76, 63, 89, 69.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  13. 13.
    Quantitative Aptitude

    The sum of the ages of two people is 33 years, and one is 3 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  14. 14.
    Quantitative Aptitude

    Pipe A fills a tank in 6 hours and pipe B in 10 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns
    T=xyx+yT = \dfrac{xy}{x+y}
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  15. 15.
    Quantitative Aptitude

    In how many ways can 2 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 2.)

    Formula:Combinations
    nCr=n!r! (n−r)!^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}
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  16. 16.
    Quantitative Aptitude

    The marked price of an item is AED 1,800. After a 20% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1−d100)SP = MP\left(1-\dfrac{d}{100}\right)
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  17. 17.
    Mathematics

    Find term number 7 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

    The sum of the ages of two people is 32 years, and one is 10 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  19. 19.
    Quantitative Aptitude

    Find the compound interest on AED 2,000 at 10% 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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  20. 20.
    Quantitative Aptitude

    Find the simple interest on AED 36,000 at 8% per annum for 2 year(s).

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