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GRE · Practice Sheet 23

Sheet code: GRE-S23 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Divide $1,242 between two people in the ratio 7:2. 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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2.
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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3.
Mathematics
In an arithmetic progression with first term 11 and common difference 5, find term number 19.
Formula:AP nth Term
$a_n = a + (n-1)d$
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4.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 10 distinct objects? (Find ⁿᴄᵣ for n = 10, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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5.
Quantitative Aptitude
A vehicle covers 150 km in 3 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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6.
Mathematics
Find term number 6 of a geometric progression with first term 3 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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7.
Quantitative Aptitude
An item is bought for $500 and sold for $575. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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8.
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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9.
Mathematics
Find term number 3 of a geometric progression with first term 1 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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10.
Quantitative Aptitude
A can finish a job in 8 days and B in 7 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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11.
Quantitative Aptitude
Find the compound interest on $13,000 at 20% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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12.
Mathematics
If f(x) = 4x³ + 4x² + 6x, find f′(1).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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13.
Quantitative Aptitude
Find the compound interest on $5,000 at 10% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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14.
Quantitative Aptitude
A vehicle covers 448 km in 7 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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15.
Quantitative Aptitude
A can finish a job in 4 days and B in 16 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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16.
Quantitative Aptitude
What is 30% of 820?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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17.
Quantitative Aptitude
A vehicle covers 624 km in 8 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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18.
Quantitative Aptitude
What is 60% of 720?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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19.
Quantitative Aptitude
The sum of the ages of two people is 84 years, and one is 6 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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20.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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