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GMAT · Practice Sheet 15

Sheet code: GMAT-S15 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Divide $828 between two people in the ratio 6:6. 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.
Mathematics
Evaluate log base 5 of 15,625.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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3.
Quantitative Aptitude
What is 25% of 260?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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4.
Quantitative Aptitude
A invests $4,000 and B invests $9,000 for the same period. If the total profit is $19,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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5.
Quantitative Aptitude
Pipe A fills a tank in 7 hours and pipe B in 5 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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6.
Mathematics
Find the binomial coefficient C(8, 4) — the coefficient of x^4 in (1 + x)^8.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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7.
Quantitative Aptitude
The sum of the ages of two people is 81 years, and one is 3 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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8.
Mathematics
Find the sum of the first 5 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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9.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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10.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 6?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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11.
Quantitative Aptitude
Find the HCF and LCM of 11 and 28.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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12.
Quantitative Aptitude
Find the average of these 6 numbers: 36, 53, 64, 45, 86, 57.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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13.
Quantitative Aptitude
A vehicle covers 410 km in 5 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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14.
Quantitative Aptitude
A value changes from 400 to 380. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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15.
Quantitative Aptitude
Find the simple interest on $10,000 at 8% per annum for 5 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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16.
Quantitative Aptitude
A vehicle covers 276 km in 4 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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17.
Quantitative Aptitude
What is 60% of 600?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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18.
Quantitative Aptitude
A can finish a job in 6 days and B in 12 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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19.
Quantitative Aptitude
Pipe A fills a tank in 11 hours and pipe B in 8 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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20.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 7 distinct objects? (Find ⁿᴘᵣ for n = 7, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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