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SAT · Practice Sheet 37

Sheet code: SAT-S37 · 20 questions

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

    A vehicle covers 504 km in 7 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
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  2. 2.
    Quantitative Aptitude

    Find the average of these 8 numbers: 28, 62, 66, 49, 31, 73, 31, 85.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  3. 3.
    Mathematics

    Find the distance between the points (-1, 8) and (-8, -5).

    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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  4. 4.
    Quantitative Aptitude

    Two varieties costing AED 40 and AED 67 per kg are mixed to give a mixture worth AED 52 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.
    Mathematics

    Find the distance between the points (6, 5) and (-2, 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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  6. 6.
    Quantitative Aptitude

    Pipe A fills a tank in 4 hours and pipe B in 9 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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  7. 7.
    Mathematics

    Evaluate log base 10 of 100.

    Formula:Logarithm Evaluation
    log⁡b(bk)=k\log_{b}(b^{k}) = k
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  8. 8.
    Quantitative Aptitude

    A value changes from 700 to 665. Find the percentage decrease.

    Formula:Percentage Change
    % change=∣new−old∣old×100\%\,\text{change} = \dfrac{|new-old|}{old}\times 100
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  9. 9.
    Quantitative Aptitude

    Find the HCF and LCM of 33 and 23.

    Formula:LCM & HCF
    LCM×HCF=a×b\text{LCM}\times\text{HCF} = a\times b
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  10. 10.
    Quantitative Aptitude

    Find the simple interest on AED 26,000 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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  11. 11.
    Quantitative Aptitude

    A vehicle covers 189 km in 3 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
    View formula →
  12. 12.
    Quantitative Aptitude

    Two varieties costing AED 15 and AED 87 per kg are mixed to give a mixture worth AED 21 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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  13. 13.
    Quantitative Aptitude

    Find the simple interest on AED 2,000 at 5% per annum for 3 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 invests AED 10,000 and B invests AED 4,000 for the same period. If the total profit is AED 28,000, 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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  15. 15.
    Quantitative Aptitude

    Pipe A fills a tank in 5 hours and pipe B in 15 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns
    T=xyx+yT = \dfrac{xy}{x+y}
    View formula →
  16. 16.
    Mathematics

    For the quadratic 4x² − 6x − 1 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)
    α+β=−ba,  αβ=ca\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}
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  17. 17.
    Quantitative Aptitude

    A invests AED 9,000 and B invests AED 9,000 for the same period. If the total profit is AED 37,000, 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 vehicle covers 399 km in 7 hours. Find its average speed.

    Formula:Speed, Distance & Time
    Speed=DistanceTime\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
    View formula →
  19. 19.
    Quantitative Aptitude

    What is 30% of 940?

    Formula:Percentage of a Number
    Value=P100×N\text{Value} = \dfrac{P}{100}\times N
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  20. 20.
    Quantitative Aptitude

    Find the average of these 10 numbers: 52, 25, 46, 90, 85, 60, 23, 52, 86, 89.

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