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TMUA · Practice Sheet 41

Sheet code: TMUA-S41 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A vehicle covers 448 km in 8 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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2.
Quantitative Aptitude
The sum of the ages of two people is 63 years, and one is 5 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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3.
Quantitative Aptitude
Find the simple interest on £24,000 at 8% per annum for 6 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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4.
Mathematics
In an arithmetic progression with first term 5 and common difference 3, find term number 29.
Formula:AP nth Term
$a_n = a + (n-1)d$
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5.
Quantitative Aptitude
Two varieties costing £26 and £78 per kg are mixed to give a mixture worth £54 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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6.
Quantitative Aptitude
Pipe A fills a tank in 15 hours and pipe B in 7 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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7.
Quantitative Aptitude
Find the simple interest on £17,000 at 8% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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8.
Quantitative Aptitude
Find the average of these 10 numbers: 37, 54, 67, 52, 71, 74, 78, 22, 42, 46.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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9.
Quantitative Aptitude
Find the compound interest on £2,000 at 10% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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10.
Quantitative Aptitude
A invests £5,000 and B invests £6,000 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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11.
Quantitative Aptitude
A can finish a job in 17 days and B in 10 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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12.
Quantitative Aptitude
Find the compound interest on £10,000 at 20% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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13.
Quantitative Aptitude
A can finish a job in 12 days and B in 19 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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14.
Mathematics
Find term number 7 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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15.
Quantitative Aptitude
Pipe A fills a tank in 13 hours and pipe B in 15 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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16.
Quantitative Aptitude
The sum of the ages of two people is 64 years, and one is 18 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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17.
Quantitative Aptitude
A can finish a job in 11 days and B in 16 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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18.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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19.
Quantitative Aptitude
The marked price of an item is £1,400. After a 20% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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20.
Mathematics
Evaluate log base 5 of 125.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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