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SAT · Practice Sheet 20

Sheet code: SAT-S20 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A value changes from 200 to 160. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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2.
Mathematics
In an arithmetic progression with first term 4 and common difference 8, find term number 11.
Formula:AP nth Term
$a_n = a + (n-1)d$
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3.
Quantitative Aptitude
A value changes from 500 to 575. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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4.
Quantitative Aptitude
Find the HCF and LCM of 12 and 16.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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5.
Mathematics
If f(x) = 5x³ + 6x² + 2x, find f′(2).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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6.
Mathematics
Find the binomial coefficient C(7, 2) — the coefficient of x^2 in (1 + x)^7.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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7.
Quantitative Aptitude
Find the simple interest on AED 31,000 at 4% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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8.
Quantitative Aptitude
Two varieties costing AED 31 and AED 91 per kg are mixed to give a mixture worth AED 72 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
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9.
Quantitative Aptitude
A can finish a job in 15 days and B in 14 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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10.
Quantitative Aptitude
Pipe A fills a tank in 12 hours and pipe B in 7 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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11.
Quantitative Aptitude
Divide AED 504 between two people in the ratio 6:2. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
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12.
Mathematics
Find the slope of the line through (2, -7) and (-2, 7).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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13.
Mathematics
In an arithmetic progression with first term 11 and common difference 3, find term number 19.
Formula:AP nth Term
$a_n = a + (n-1)d$
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14.
Quantitative Aptitude
A vehicle covers 216 km in 6 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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15.
Quantitative Aptitude
What is 75% of 860?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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16.
Mathematics
If f(x) = 5x³ + 2x² + 7x, find f′(5).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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17.
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
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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18.
Mathematics
For the quadratic 2x² + 8x + 4 = 0, find the sum and product of its roots.
Formula:Vieta's Formulas (roots)
$\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$
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19.
Quantitative Aptitude
Two varieties costing AED 26 and AED 75 per kg are mixed to give a mixture worth AED 32 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
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20.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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