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TMUA · Practice Sheet 38

Sheet code: TMUA-S38 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Find the average of these 10 numbers: 85, 81, 71, 77, 39, 58, 67, 52, 62, 78.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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2.
Quantitative Aptitude
Find the compound interest on £19,000 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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3.
Mathematics
Find the sum of the first 4 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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4.
Quantitative Aptitude
A invests £9,000 and B invests £3,000 for the same period. If the total profit is £9,000, 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
The sum of the ages of two people is 31 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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6.
Mathematics
Find the slope of the line through (3, 0) and (-7, -8).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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7.
Quantitative Aptitude
A invests £2,000 and B invests £2,000 for the same period. If the total profit is £17,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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8.
Quantitative Aptitude
Find the simple interest on £42,000 at 8% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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9.
Quantitative Aptitude
What is 15% of 1,140?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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10.
Quantitative Aptitude
Find the average of these 6 numbers: 60, 69, 62, 46, 48, 50.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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11.
Quantitative Aptitude
The marked price of an item is £1,100. After a 20% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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12.
Quantitative Aptitude
Find the simple interest on £22,000 at 8% per annum for 5 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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13.
Quantitative Aptitude
A vehicle covers 492 km in 6 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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14.
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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15.
Quantitative Aptitude
A invests £8,000 and B invests £2,000 for the same period. If the total profit is £33,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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16.
Mathematics
Find the distance between the points (1, 0) and (2, -6).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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17.
Quantitative Aptitude
Find the simple interest on £17,000 at 5% per annum for 6 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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18.
Mathematics
Evaluate ∫ from 2 to 5 of 2x^1 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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19.
Mathematics
For the quadratic 1x² + 2x + 7 = 0, find the sum and product of its roots.
Formula:Vieta's Formulas (roots)
$\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$
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20.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 8?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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