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SAT · Practice Sheet 34

Sheet code: SAT-S34 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Divide AED 774 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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2.
Quantitative Aptitude
Pipe A fills a tank in 14 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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3.
Quantitative Aptitude
An item is bought for AED 400 and sold for AED 500. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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4.
Mathematics
Find the sum of the first 6 terms of an AP with first term 12 and common difference 6.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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5.
Mathematics
If f(x) = 2x³ + 6x² + 2x, find f′(1).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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6.
Quantitative Aptitude
Pipe A fills a tank in 3 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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7.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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8.
Mathematics
Find the sum of the first 6 terms of a GP with first term 3 and common ratio 3.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
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9.
Quantitative Aptitude
A invests AED 3,000 and B invests AED 6,000 for the same period. If the total profit is AED 13,000, 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
The sum of the ages of two people is 49 years, and one is 19 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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11.
Mathematics
Find the sum of the first 11 terms of an AP with first term 12 and common difference 3.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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12.
Quantitative Aptitude
The marked price of an item is AED 1,000. After a 50% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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13.
Quantitative Aptitude
Divide AED 1,603 between two people in the ratio 3:4. 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
A can finish a job in 5 days and B in 4 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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15.
Mathematics
Find the slope of the line through (4, -4) and (-1, 5).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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16.
Quantitative Aptitude
The marked price of an item is AED 300. After a 40% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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17.
Mathematics
Find the distance between the points (5, -6) and (-3, 2).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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18.
Quantitative Aptitude
Find the compound interest on AED 17,000 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
Find the simple interest on AED 10,000 at 12% per annum for 6 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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20.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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