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UCAT · Practice Sheet 35

Sheet code: UCAT-S35 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Divide £3,120 between two people in the ratio 5:7. 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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2.
Quantitative Aptitude
A can finish a job in 16 days and B in 5 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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3.
Quantitative Aptitude
The sum of the ages of two people is 52 years, and one is 8 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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4.
Quantitative Aptitude
What is 50% of 220?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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5.
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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6.
Quantitative Aptitude
Pipe A fills a tank in 11 hours and pipe B in 6 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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7.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 9?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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8.
Quantitative Aptitude
Find the HCF and LCM of 13 and 19.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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9.
Quantitative Aptitude
A invests £3,000 and B invests £9,000 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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10.
Quantitative Aptitude
A can finish a job in 7 days and B in 6 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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11.
Quantitative Aptitude
An item is bought for £800 and sold for £1,120. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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12.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 6?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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13.
Quantitative Aptitude
The sum of the ages of two people is 43 years, and one is 7 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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14.
Quantitative Aptitude
Find the HCF and LCM of 24 and 18.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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15.
Quantitative Aptitude
What is 30% of 240?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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16.
Quantitative Aptitude
Two varieties costing £30 and £88 per kg are mixed to give a mixture worth £52 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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17.
Quantitative Aptitude
A vehicle covers 96 km in 3 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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18.
Quantitative Aptitude
An item is bought for £400 and sold for £480. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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19.
Quantitative Aptitude
A invests £8,000 and B invests £10,000 for the same period. If the total profit is £30,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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20.
Quantitative Aptitude
A can finish a job in 17 days and B in 16 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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