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SAT · Practice Sheet 41

Sheet code: SAT-S41 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
An item is bought for AED 900 and sold for AED 1,035. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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2.
Quantitative Aptitude
The marked price of an item is AED 2,000. After a 15% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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3.
Mathematics
In an arithmetic progression with first term 20 and common difference 4, find term number 13.
Formula:AP nth Term
$a_n = a + (n-1)d$
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4.
Quantitative Aptitude
An item is bought for AED 500 and sold for AED 650. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
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5.
Quantitative Aptitude
A invests AED 8,000 and B invests AED 5,000 for the same period. If the total profit is AED 36,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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6.
Mathematics
Find the sum of the first 7 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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7.
Mathematics
Find the sum of the first 10 terms of an AP with first term 16 and common difference 8.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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8.
Mathematics
For the quadratic 1x² − 1x + 6 = 0, find the sum and product of its roots.
Formula:Vieta's Formulas (roots)
$\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$
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9.
Mathematics
If f(x) = 4x³ + 2x² + 5x, find f′(1).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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10.
Mathematics
Find term number 6 of a geometric progression with first term 6 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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11.
Mathematics
Find the binomial coefficient C(7, 3) — the coefficient of x^3 in (1 + x)^7.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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12.
Quantitative Aptitude
Two varieties costing AED 11 and AED 62 per kg are mixed to give a mixture worth AED 53 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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13.
Quantitative Aptitude
The sum of the ages of two people is 61 years, and one is 13 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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14.
Mathematics
Evaluate log base 5 of 625.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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15.
Quantitative Aptitude
Find the simple interest on AED 37,000 at 8% 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 AED 1,000. 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.
Quantitative Aptitude
A can finish a job in 6 days and B in 5 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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18.
Quantitative Aptitude
Two varieties costing AED 16 and AED 67 per kg are mixed to give a mixture worth AED 22 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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19.
Quantitative Aptitude
Find the compound interest on AED 11,000 at 10% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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20.
Quantitative Aptitude
Divide AED 832 between two people in the ratio 7:6. 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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