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GMAT · Practice Sheet 3

Sheet code: GMAT-S03 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A value changes from 900 to 675. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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2.
Quantitative Aptitude
Pipe A fills a tank in 13 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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3.
Quantitative Aptitude
Find the simple interest on $34,000 at 10% per annum for 4 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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4.
Mathematics
In an arithmetic progression with first term 6 and common difference 6, find term number 23.
Formula:AP nth Term
$a_n = a + (n-1)d$
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5.
Quantitative Aptitude
An item is bought for $400 and sold for $600. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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6.
Quantitative Aptitude
A can finish a job in 20 days and B in 5 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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7.
Mathematics
Evaluate ∫ from 1 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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8.
Quantitative Aptitude
The marked price of an item is $200. After a 10% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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9.
Mathematics
Find the distance between the points (-5, 4) and (2, -4).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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10.
Quantitative Aptitude
Pipe A fills a tank in 15 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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11.
Mathematics
Find term number 6 of a geometric progression with first term 3 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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12.
Quantitative Aptitude
Divide $2,200 between two people in the ratio 4:7. 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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13.
Quantitative Aptitude
The sum of the ages of two people is 65 years, and one is 15 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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14.
Mathematics
In an arithmetic progression with first term 5 and common difference 7, find term number 17.
Formula:AP nth Term
$a_n = a + (n-1)d$
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15.
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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16.
Quantitative Aptitude
Divide $432 between two people in the ratio 4:2. 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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17.
Mathematics
In an arithmetic progression with first term 14 and common difference 8, find term number 17.
Formula:AP nth Term
$a_n = a + (n-1)d$
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18.
Mathematics
Evaluate log base 3 of 81.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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19.
Quantitative Aptitude
The marked price of an item is $1,900. After a 10% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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20.
Quantitative Aptitude
Find the HCF and LCM of 13 and 7.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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