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SAT · Practice Sheet 17

Sheet code: SAT-S17 · 20 questions

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

    The marked price of an item is AED 500. After a 50% 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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  2. 2.
    Quantitative Aptitude

    Find the simple interest on AED 19,000 at 8% per annum for 3 year(s).

    Formula:Simple Interest
    SI=P×R×T100SI = \dfrac{P\times R\times T}{100}
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  3. 3.
    Mathematics

    Find term number 6 of a geometric progression with first term 2 and common ratio 3.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
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  4. 4.
    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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  5. 5.
    Mathematics

    Find the sum of the first 21 terms of an AP with first term 7 and common difference 5.

    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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  6. 6.
    Quantitative Aptitude

    The marked price of an item is AED 1,500. After a 5% discount, find the selling price.

    Formula:Discount & Selling Price
    SP=MP(1−d100)SP = MP\left(1-\dfrac{d}{100}\right)
    View formula →
  7. 7.
    Mathematics

    Find the slope of the line through (-5, -1) and (-3, -2).

    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

    Find the average of these 10 numbers: 20, 33, 65, 67, 74, 50, 31, 48, 67, 68.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  9. 9.
    Quantitative Aptitude

    The sum of the ages of two people is 62 years, and one is 14 years older than the other. Find their ages.

    Formula:Ages (linear equations)
    x+(x+d)=Sx + (x+d) = S
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  10. 10.
    Mathematics

    Find the binomial coefficient C(5, 3) — the coefficient of x^3 in (1 + x)^5.

    Formula:Binomial Coefficient
    (nr)=n!r! (n−r)!\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}
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  11. 11.
    Quantitative Aptitude

    A invests AED 8,000 and B invests AED 3,000 for the same period. If the total profit is AED 34,000, find A's share.

    Formula:Partnership (profit share)
    ShareA=Profit×AA+B\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}
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  12. 12.
    Mathematics

    Find the slope of the line through (-8, 8) and (-7, 8).

    Formula:Slope of a Line
    m=y2−y1x2−x1m = \dfrac{y_2-y_1}{x_2-x_1}
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  13. 13.
    Mathematics

    Evaluate ∫ from 0 to 4 of 4x^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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  14. 14.
    Quantitative Aptitude

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

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

    Find the HCF and LCM of 30 and 39.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  16. 16.
    Mathematics

    Find the distance between the points (6, 1) and (4, -3).

    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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  17. 17.
    Quantitative Aptitude

    A invests AED 3,000 and B invests AED 8,000 for the same period. If the total profit is AED 32,000, find A's share.

    Formula:Partnership (profit share)
    ShareA=Profit×AA+B\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}
    View formula →
  18. 18.
    Quantitative Aptitude

    A can finish a job in 14 days and B in 18 days. Working together, how long will they take?

    Formula:Time & Work (combined)
    T=xyx+yT = \dfrac{xy}{x+y}
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  19. 19.
    Quantitative Aptitude

    Find the average of these 5 numbers: 89, 87, 57, 26, 75.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  20. 20.
    Mathematics

    Evaluate ∫ from 1 to 4 of 1x^2 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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