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TMUA · Practice Sheet 1

Sheet code: TMUA-S01 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
What is 15% of 1,100?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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2.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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3.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 7?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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4.
Quantitative Aptitude
A invests £3,000 and B invests £5,000 for the same period. If the total profit is £7,000, 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
Two varieties costing £21 and £77 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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6.
Mathematics
Evaluate log base 2 of 64.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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7.
Quantitative Aptitude
A invests £4,000 and B invests £9,000 for the same period. If the total profit is £8,000, 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
Pipe A fills a tank in 13 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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9.
Quantitative Aptitude
Two varieties costing £16 and £70 per kg are mixed to give a mixture worth £59 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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10.
Mathematics
If f(x) = 5x³ + 3x² + 3x, find f′(1).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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11.
Quantitative Aptitude
An item is bought for £300 and sold for £420. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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12.
Quantitative Aptitude
Find the compound interest on £15,000 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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13.
Quantitative Aptitude
Divide £1,089 between two people in the ratio 3:6. 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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14.
Quantitative Aptitude
The sum of the ages of two people is 74 years, and one is 2 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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15.
Mathematics
Evaluate log base 10 of 100,000.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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16.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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17.
Quantitative Aptitude
A vehicle covers 711 km in 9 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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18.
Mathematics
Find the slope of the line through (5, -8) and (6, 5).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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19.
Quantitative Aptitude
Divide £1,450 between two people in the ratio 6:4. 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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20.
Quantitative Aptitude
A can finish a job in 6 days and B in 8 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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