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TMUA · Practice Sheet 16

Sheet code: TMUA-S16 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Find the compound interest on £17,000 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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2.
Mathematics
In an arithmetic progression with first term 2 and common difference 10, find term number 9.
Formula:AP nth Term
$a_n = a + (n-1)d$
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3.
Mathematics
Evaluate log base 3 of 81.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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4.
Mathematics
Find term number 6 of a geometric progression with first term 4 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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5.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 5?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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6.
Quantitative Aptitude
The sum of the ages of two people is 32 years, and one is 10 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 14 terms of an AP with first term 11 and common difference 5.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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8.
Quantitative Aptitude
A can finish a job in 20 days and B in 4 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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9.
Quantitative Aptitude
The marked price of an item is £1,000. After a 5% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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10.
Quantitative Aptitude
Pipe A fills a tank in 15 hours and pipe B in 12 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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11.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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12.
Quantitative Aptitude
Find the average of these 5 numbers: 86, 60, 71, 59, 69.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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13.
Mathematics
Find the binomial coefficient C(6, 3) — the coefficient of x^3 in (1 + x)^6.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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14.
Quantitative Aptitude
A can finish a job in 20 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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15.
Mathematics
Find the distance between the points (-2, 8) and (-7, -1).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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16.
Quantitative Aptitude
Find the simple interest on £30,000 at 4% per annum for 6 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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17.
Quantitative Aptitude
Two varieties costing £18 and £87 per kg are mixed to give a mixture worth £68 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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18.
Quantitative Aptitude
The sum of the ages of two people is 36 years, and one is 16 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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19.
Quantitative Aptitude
Two varieties costing £18 and £98 per kg are mixed to give a mixture worth £23 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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20.
Mathematics
Evaluate log base 5 of 625.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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