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SAT · Practice Sheet 2

Sheet code: SAT-US-S02 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
An item is bought for $900 and sold for $1,080. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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2.
Quantitative Aptitude
Pipe A fills a tank in 10 hours and pipe B in 4 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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3.
Quantitative Aptitude
Two varieties costing $39 and $92 per kg are mixed to give a mixture worth $44 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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4.
Mathematics
Find the slope of the line through (5, 8) and (1, -8).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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5.
Mathematics
In an arithmetic progression with first term 19 and common difference 7, find term number 30.
Formula:AP nth Term
$a_n = a + (n-1)d$
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6.
Mathematics
If f(x) = 4x³ + 2x² + 7x, find f′(5).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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7.
Mathematics
For the quadratic 2x² + 8x − 7 = 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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8.
Mathematics
Evaluate ∫ from 2 to 3 of 3x^2 dx.
Formula:Definite Integral of a Power
$\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$
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9.
Quantitative Aptitude
Find the average of these 10 numbers: 77, 52, 38, 38, 51, 51, 51, 48, 89, 45.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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10.
Quantitative Aptitude
A value changes from 400 to 440. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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11.
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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12.
Mathematics
Find the distance between the points (-7, -3) and (-4, -3).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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13.
Mathematics
In an arithmetic progression with first term 18 and common difference 1, find term number 25.
Formula:AP nth Term
$a_n = a + (n-1)d$
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14.
Quantitative Aptitude
Find the simple interest on $18,000 at 6% per annum for 5 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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15.
Mathematics
Find the distance between the points (6, -5) and (-2, 7).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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16.
Quantitative Aptitude
Find the compound interest on $9,000 at 20% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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17.
Quantitative Aptitude
Pipe A fills a tank in 9 hours and pipe B in 14 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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18.
Quantitative Aptitude
A vehicle covers 336 km in 4 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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19.
Quantitative Aptitude
A value changes from 200 to 300. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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20.
Mathematics
In an arithmetic progression with first term 11 and common difference 5, find term number 20.
Formula:AP nth Term
$a_n = a + (n-1)d$
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