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UCAT · Practice Sheet 14

Sheet code: UCAT-S14 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 9 distinct objects? (Find ⁿᴘᵣ for n = 9, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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2.
Quantitative Aptitude
The sum of the ages of two people is 44 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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3.
Quantitative Aptitude
The marked price of an item is £500. After a 30% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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4.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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5.
Quantitative Aptitude
The sum of the ages of two people is 51 years, and one is 11 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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6.
Quantitative Aptitude
What is 15% of 1,060?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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7.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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8.
Quantitative Aptitude
A invests £7,000 and B invests £8,000 for the same period. If the total profit is £16,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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9.
Quantitative Aptitude
The sum of the ages of two people is 54 years, and one is 14 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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10.
Quantitative Aptitude
Find the simple interest on £21,000 at 6% per annum for 2 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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11.
Quantitative Aptitude
The sum of the ages of two people is 53 years, and one is 13 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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12.
Quantitative Aptitude
The marked price of an item is £1,900. After a 10% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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13.
Quantitative Aptitude
A can finish a job in 13 days and B in 11 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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14.
Quantitative Aptitude
Divide £1,971 between two people in the ratio 2:7. 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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15.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 7 distinct objects? (Find ⁿᴘᵣ for n = 7, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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16.
Quantitative Aptitude
What is 25% of 320?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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17.
Quantitative Aptitude
Find the HCF and LCM of 32 and 39.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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18.
Quantitative Aptitude
Divide £1,752 between two people in the ratio 4:2. 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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19.
Quantitative Aptitude
Find the compound interest on £20,000 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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20.
Quantitative Aptitude
A vehicle covers 296 km in 4 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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