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GMAT · Practice Sheet 23

Sheet code: GMAT-S23 · 20 questions

Name: ______________

Date: ______________

1.
Mathematics
Find term number 5 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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2.
Quantitative Aptitude
Divide $2,354 between two people in the ratio 7:4. 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.
Quantitative Aptitude
A vehicle covers 560 km in 7 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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4.
Quantitative Aptitude
A can finish a job in 11 days and B in 17 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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5.
Mathematics
In an arithmetic progression with first term 4 and common difference 5, find term number 7.
Formula:AP nth Term
$a_n = a + (n-1)d$
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6.
Quantitative Aptitude
The sum of the ages of two people is 71 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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7.
Mathematics
Find the sum of the first 5 terms of an AP with first term 11 and common difference 1.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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8.
Quantitative Aptitude
Two varieties costing $37 and $68 per kg are mixed to give a mixture worth $63 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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9.
Quantitative Aptitude
A vehicle covers 592 km in 8 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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10.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 9 distinct objects? (Find ⁿᴘᵣ for n = 9, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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11.
Mathematics
Find term number 6 of a geometric progression with first term 1 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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12.
Mathematics
Find the slope of the line through (-6, 1) and (5, -5).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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13.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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14.
Mathematics
Find the binomial coefficient C(6, 2) — the coefficient of x^2 in (1 + x)^6.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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15.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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16.
Mathematics
Evaluate log base 10 of 10,000.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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17.
Quantitative Aptitude
What is 15% of 120?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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18.
Mathematics
Find term number 6 of a geometric progression with first term 4 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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19.
Quantitative Aptitude
A invests $5,000 and B invests $6,000 for the same period. If the total profit is $26,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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20.
Quantitative Aptitude
Find the average of these 5 numbers: 71, 30, 45, 76, 88.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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