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SAT · Practice Sheet 43

Sheet code: SAT-US-S43 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A vehicle covers 68 km in 2 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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2.
Mathematics
Find the sum of the first 5 terms of a GP with first term 1 and common ratio 3.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
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3.
Mathematics
Find the sum of the first 5 terms of an AP with first term 11 and common difference 1.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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4.
Quantitative Aptitude
A value changes from 400 to 200. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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5.
Quantitative Aptitude
The sum of the ages of two people is 37 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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6.
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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7.
Mathematics
Find the sum of the first 23 terms of an AP with first term 6 and common difference 10.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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8.
Quantitative Aptitude
A invests $5,000 and B invests $10,000 for the same period. If the total profit is $26,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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9.
Mathematics
Find the sum of the first 20 terms of an AP with first term 18 and common difference 3.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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10.
Quantitative Aptitude
Pipe A fills a tank in 14 hours and pipe B in 10 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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11.
Mathematics
Evaluate log base 10 of 100,000.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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12.
Mathematics
If f(x) = 3x³ + 6x² + 9x, find f′(5).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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13.
Quantitative Aptitude
Find the simple interest on $37,000 at 6% per annum for 3 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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14.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 7 distinct objects? (Find ⁿᴄᵣ for n = 7, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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15.
Quantitative Aptitude
Pipe A fills a tank in 5 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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16.
Quantitative Aptitude
What is 30% of 480?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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17.
Mathematics
Evaluate log base 10 of 1,000,000.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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18.
Quantitative Aptitude
Find the HCF and LCM of 33 and 13.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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19.
Mathematics
In an arithmetic progression with first term 2 and common difference 10, find term number 27.
Formula:AP nth Term
$a_n = a + (n-1)d$
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20.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 7 distinct objects? (Find ⁿᴄᵣ for n = 7, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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