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UCAT · Practice Sheet 27

Sheet code: UCAT-S27 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A vehicle covers 369 km in 9 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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2.
Quantitative Aptitude
Find the compound interest on £14,000 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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3.
Quantitative Aptitude
A vehicle covers 360 km in 6 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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4.
Quantitative Aptitude
The marked price of an item is £200. After a 20% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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5.
Quantitative Aptitude
Find the simple interest on £5,000 at 4% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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6.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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7.
Quantitative Aptitude
A vehicle covers 186 km in 3 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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8.
Quantitative Aptitude
Find the average of these 5 numbers: 30, 51, 88, 60, 80.
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
Find the simple interest on £2,000 at 6% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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11.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 7 distinct objects? (Find ⁿᴄᵣ for n = 7, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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12.
Quantitative Aptitude
What is 40% of 1,000?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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13.
Quantitative Aptitude
A can finish a job in 9 days and B in 18 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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14.
Quantitative Aptitude
The marked price of an item is £1,900. After a 5% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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15.
Quantitative Aptitude
Find the simple interest on £49,000 at 6% per annum for 5 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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16.
Quantitative Aptitude
The marked price of an item is £400. After a 40% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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17.
Quantitative Aptitude
Find the simple interest on £16,000 at 4% per annum for 6 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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18.
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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19.
Quantitative Aptitude
A can finish a job in 14 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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20.
Quantitative Aptitude
Two varieties costing £21 and £63 per kg are mixed to give a mixture worth £55 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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