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TMUA · Practice Sheet 6

Sheet code: TMUA-S06 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
The sum of the ages of two people is 83 years, and one is 17 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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2.
Quantitative Aptitude
Find the average of these 10 numbers: 28, 53, 71, 26, 80, 48, 36, 63, 45, 76.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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3.
Quantitative Aptitude
What is 75% of 520?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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4.
Quantitative Aptitude
An item is bought for £400 and sold for £520. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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5.
Quantitative Aptitude
Divide £1,650 between two people in the ratio 7:4. 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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6.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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7.
Quantitative Aptitude
An item is bought for £300 and sold for £390. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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8.
Mathematics
If f(x) = 3x³ + 4x² + 3x, find f′(3).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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9.
Quantitative Aptitude
Find the compound interest on £13,000 at 10% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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10.
Quantitative Aptitude
Find the average of these 5 numbers: 67, 49, 26, 27, 80.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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11.
Quantitative Aptitude
Divide £550 between two people in the ratio 3:7. 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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12.
Mathematics
Find the sum of the first 3 terms of a GP with first term 6 and common ratio 3.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
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13.
Quantitative Aptitude
Find the simple interest on £33,000 at 10% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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14.
Quantitative Aptitude
Find the HCF and LCM of 25 and 20.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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15.
Quantitative Aptitude
The sum of the ages of two people is 59 years, and one is 15 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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16.
Mathematics
Find the binomial coefficient C(9, 4) — the coefficient of x^4 in (1 + x)^9.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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17.
Mathematics
Find the sum of the first 15 terms of an AP with first term 7 and common difference 4.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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18.
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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19.
Quantitative Aptitude
Two varieties costing £13 and £89 per kg are mixed to give a mixture worth £27 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.
Quantitative Aptitude
A vehicle covers 490 km in 7 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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