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TMUA · Practice Sheet 24

Sheet code: TMUA-S24 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Find the average of these 6 numbers: 43, 47, 62, 59, 51, 88.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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2.
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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3.
Mathematics
Evaluate ∫ from 2 to 4 of 1x^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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4.
Quantitative Aptitude
Find the average of these 6 numbers: 65, 59, 35, 37, 31, 27.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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5.
Quantitative Aptitude
The marked price of an item is £200. After a 50% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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6.
Mathematics
Evaluate ∫ from 0 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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7.
Quantitative Aptitude
Find the HCF and LCM of 14 and 9.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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8.
Quantitative Aptitude
Divide £725 between two people in the ratio 3:2. 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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9.
Quantitative Aptitude
An item is bought for £600 and sold for £840. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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10.
Quantitative Aptitude
The marked price of an item is £1,400. After a 30% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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11.
Mathematics
In an arithmetic progression with first term 6 and common difference 7, find term number 11.
Formula:AP nth Term
$a_n = a + (n-1)d$
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12.
Quantitative Aptitude
Find the HCF and LCM of 20 and 15.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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13.
Mathematics
Find the distance between the points (3, 5) and (3, 6).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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14.
Quantitative Aptitude
A vehicle covers 288 km in 6 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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15.
Mathematics
Find the sum of the first 4 terms of a GP with first term 5 and common ratio 2.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
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16.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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17.
Quantitative Aptitude
Pipe A fills a tank in 3 hours and pipe B in 6 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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18.
Quantitative Aptitude
A invests £4,000 and B invests £10,000 for the same period. If the total profit is £11,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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19.
Quantitative Aptitude
An item is bought for £600 and sold for £660. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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20.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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