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TMUA · Practice Sheet 25

Sheet code: TMUA-S25 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A invests £6,000 and B invests £5,000 for the same period. If the total profit is £25,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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2.
Quantitative Aptitude
Pipe A fills a tank in 3 hours and pipe B in 13 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 average of these 8 numbers: 31, 24, 40, 38, 24, 43, 72, 43.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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4.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 7 distinct objects? (Find ⁿᴘᵣ for n = 7, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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5.
Quantitative Aptitude
The marked price of an item is £1,400. After a 25% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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6.
Mathematics
Find the sum of the first 18 terms of an AP with first term 18 and common difference 9.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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7.
Quantitative Aptitude
Find the simple interest on £4,000 at 6% per annum for 4 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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8.
Quantitative Aptitude
Two varieties costing £36 and £73 per kg are mixed to give a mixture worth £43 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.
Mathematics
Find the distance between the points (4, 7) and (6, 3).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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10.
Quantitative Aptitude
A vehicle covers 455 km in 7 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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11.
Quantitative Aptitude
Pipe A fills a tank in 6 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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12.
Mathematics
For the quadratic 2x² + 5x + 3 = 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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13.
Quantitative Aptitude
Find the HCF and LCM of 18 and 23.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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14.
Quantitative Aptitude
The marked price of an item is £700. After a 40% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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15.
Quantitative Aptitude
What is 20% of 500?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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16.
Quantitative Aptitude
The marked price of an item is £900. After a 25% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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17.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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18.
Quantitative Aptitude
The marked price of an item is £1,700. After a 5% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
19.
Quantitative Aptitude
A invests £5,000 and B invests £7,000 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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20.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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