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SAT · Practice Sheet 14

Sheet code: SAT-S14 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Mathematics

    Find the distance between the points (5, 8) 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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  2. 2.
    Quantitative Aptitude

    Find the simple interest on AED 6,000 at 4% per annum for 5 year(s).

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

    Find the compound interest on AED 12,000 at 20% per annum compounded annually for 3 years.

    Formula:Compound Interest
    A=P(1+R100)TA = P\left(1+\dfrac{R}{100}\right)^{T}
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  4. 4.
    Mathematics

    Find term number 4 of a geometric progression with first term 1 and common ratio 2.

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

    What is 75% of 1,120?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  6. 6.
    Mathematics

    Evaluate ∫ from 2 to 3 of 1x^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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  7. 7.
    Quantitative Aptitude

    Find the average of these 5 numbers: 59, 65, 49, 69, 80.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  8. 8.
    Quantitative Aptitude

    A invests AED 9,000 and B invests AED 4,000 for the same period. If the total profit is AED 33,000, 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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  9. 9.
    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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  10. 10.
    Quantitative Aptitude

    Find the average of these 10 numbers: 69, 22, 72, 88, 78, 67, 23, 83, 87, 79.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  11. 11.
    Quantitative Aptitude

    Two varieties costing AED 27 and AED 95 per kg are mixed to give a mixture worth AED 62 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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  12. 12.
    Mathematics

    Find term number 5 of a geometric progression with first term 4 and common ratio 3.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
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  13. 13.
    Mathematics

    Evaluate log base 3 of 729.

    Formula:Logarithm Evaluation
    log⁡b(bk)=k\log_{b}(b^{k}) = k
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  14. 14.
    Quantitative Aptitude

    Pipe A fills a tank in 7 hours and pipe B in 8 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.
    Mathematics

    Find the sum of the first 8 terms of an AP with first term 20 and common difference 6.

    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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  16. 16.
    Quantitative Aptitude

    A invests AED 8,000 and B invests AED 3,000 for the same period. If the total profit is AED 29,000, 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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  17. 17.
    Quantitative Aptitude

    Find the average of these 6 numbers: 22, 90, 39, 39, 79, 70.

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

    A vehicle covers 94 km in 2 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  19. 19.
    Mathematics

    Evaluate ∫ from 0 to 4 of 4x^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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  20. 20.
    Mathematics

    If f(x) = 3x³ + 3x² + 3x, find f′(1).

    Formula:Derivative of a Polynomial
    ddxxn=n x n−1\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}
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