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GRE · Practice Sheet 28

Sheet code: GRE-S28 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
The sum of the ages of two people is 70 years, and one is 10 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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2.
Quantitative Aptitude
Divide $2,520 between two people in the ratio 7:7. 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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3.
Mathematics
Find the distance between the points (-3, -7) and (-8, -1).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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4.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 7?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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5.
Quantitative Aptitude
The marked price of an item is $1,100. After a 40% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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6.
Mathematics
Find the slope of the line through (-1, -8) and (0, -7).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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7.
Quantitative Aptitude
The marked price of an item is $1,200. After a 15% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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8.
Mathematics
Evaluate ∫ from 2 to 3 of 3x^3 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
A value changes from 200 to 260. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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10.
Quantitative Aptitude
Find the average of these 10 numbers: 46, 57, 39, 48, 64, 53, 82, 78, 46, 83.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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11.
Mathematics
Find the sum of the first 7 terms of an AP with first term 6 and common difference 4.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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12.
Quantitative Aptitude
What is 25% of 240?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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13.
Quantitative Aptitude
Find the simple interest on $2,000 at 8% per annum for 6 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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14.
Quantitative Aptitude
Pipe A fills a tank in 11 hours and pipe B in 12 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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15.
Mathematics
Find the sum of the first 22 terms of an AP with first term 6 and common difference 3.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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16.
Mathematics
Find the sum of the first 3 terms of a GP with first term 4 and common ratio 2.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
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17.
Quantitative Aptitude
A invests $5,000 and B invests $6,000 for the same period. If the total profit is $25,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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18.
Mathematics
Find the sum of the first 25 terms of an AP with first term 9 and common difference 5.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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19.
Quantitative Aptitude
Divide $2,322 between two people in the ratio 4:5. 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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20.
Quantitative Aptitude
Find the compound interest on $15,000 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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