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UPSC CSAT · Practice Sheet 33

Sheet code: UPSC-S33 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Find the HCF and LCM of 12 and 34.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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2.
Quantitative Aptitude
A vehicle covers 342 km in 9 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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3.
Quantitative Aptitude
What is 40% of 300?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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4.
Quantitative Aptitude
Divide ₹1,617 between two people in the ratio 5:2. 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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5.
Quantitative Aptitude
A vehicle covers 132 km in 2 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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6.
Quantitative Aptitude
Two varieties costing ₹13 and ₹60 per kg are mixed to give a mixture worth ₹37 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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7.
Quantitative Aptitude
Pipe A fills a tank in 8 hours and pipe B in 13 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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8.
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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9.
Quantitative Aptitude
Pipe A fills a tank in 10 hours and pipe B in 4 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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10.
Quantitative Aptitude
The sum of the ages of two people is 74 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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11.
Quantitative Aptitude
What is 15% of 1,100?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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12.
Quantitative Aptitude
Find the average of these 5 numbers: 86, 35, 22, 38, 88.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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13.
Quantitative Aptitude
Divide ₹2,322 between two people in the ratio 6:3. 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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14.
Quantitative Aptitude
The marked price of an item is ₹1,100. After a 25% 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 ₹45,000 at 6% per annum for 3 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 ₹900. After a 20% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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17.
Quantitative Aptitude
An item is bought for ₹900 and sold for ₹1,170. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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18.
Quantitative Aptitude
A vehicle covers 329 km in 7 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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19.
Quantitative Aptitude
Pipe A fills a tank in 14 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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20.
Quantitative Aptitude
The sum of the ages of two people is 67 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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