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UPSC CSAT · Practice Sheet 18

Sheet code: UPSC-S18 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Divide ₹720 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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2.
Quantitative Aptitude
Find the average of these 6 numbers: 82, 43, 64, 22, 79, 88.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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3.
Quantitative Aptitude
Pipe A fills a tank in 15 hours and pipe B in 5 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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4.
Quantitative Aptitude
Find the simple interest on ₹46,000 at 6% per annum for 5 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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5.
Quantitative Aptitude
An item is bought for ₹500 and sold for ₹650. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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6.
Quantitative Aptitude
A value changes from 200 to 100. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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7.
Quantitative Aptitude
The marked price of an item is ₹1,900. After a 30% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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8.
Quantitative Aptitude
An item is bought for ₹200 and sold for ₹250. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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9.
Quantitative Aptitude
A can finish a job in 7 days and B in 10 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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10.
Quantitative Aptitude
A vehicle covers 152 km in 4 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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11.
Quantitative Aptitude
The marked price of an item is ₹900. After a 25% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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12.
Quantitative Aptitude
Divide ₹1,992 between two people in the ratio 3:5. 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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13.
Quantitative Aptitude
A can finish a job in 17 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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14.
Quantitative Aptitude
Two varieties costing ₹25 and ₹65 per kg are mixed to give a mixture worth ₹46 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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15.
Quantitative Aptitude
Pipe A fills a tank in 11 hours and pipe B in 8 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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16.
Quantitative Aptitude
The sum of the ages of two people is 27 years, and one is 5 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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17.
Quantitative Aptitude
Divide ₹504 between two people in the ratio 4:5. 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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18.
Quantitative Aptitude
Find the compound interest on ₹16,000 at 20% 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 vehicle covers 300 km in 5 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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20.
Quantitative Aptitude
Pipe A fills a tank in 6 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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