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CAT · Practice Sheet 1

Sheet code: CAT-S01 · 20 questions

Name: ______________

Date: ______________

1.
Mathematics
Find the sum of the first 7 terms of a GP with first term 4 and common ratio 2.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
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2.
Quantitative Aptitude
Find the simple interest on ₹12,000 at 12% per annum for 1 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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3.
Quantitative Aptitude
The marked price of an item is ₹1,600. 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
Pipe A fills a tank in 7 hours and pipe B in 14 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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5.
Quantitative Aptitude
Two varieties costing ₹39 and ₹97 per kg are mixed to give a mixture worth ₹88 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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6.
Mathematics
Find term number 7 of a geometric progression with first term 2 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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7.
Mathematics
Find the sum of the first 21 terms of an AP with first term 8 and common difference 3.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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8.
Mathematics
Find term number 3 of a geometric progression with first term 3 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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9.
Quantitative Aptitude
The marked price of an item is ₹1,800. After a 50% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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10.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 5?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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11.
Mathematics
In an arithmetic progression with first term 3 and common difference 4, find term number 5.
Formula:AP nth Term
$a_n = a + (n-1)d$
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12.
Mathematics
Find the sum of the first 18 terms of an AP with first term 15 and common difference 10.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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13.
Quantitative Aptitude
A vehicle covers 245 km in 7 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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14.
Quantitative Aptitude
Find the compound interest on ₹16,000 at 20% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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15.
Quantitative Aptitude
Pipe A fills a tank in 13 hours and pipe B in 12 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
What is 25% of 1,060?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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17.
Mathematics
In an arithmetic progression with first term 3 and common difference 5, find term number 27.
Formula:AP nth Term
$a_n = a + (n-1)d$
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18.
Mathematics
Find the sum of the first 17 terms of an AP with first term 3 and common difference 2.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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19.
Quantitative Aptitude
A vehicle covers 292 km in 4 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 7 hours and pipe B in 13 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →

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