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SAT · Practice Sheet 15

Sheet code: SAT-S15 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 10 distinct objects? (Find ⁿᴄᵣ for n = 10, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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2.
Quantitative Aptitude
Find the HCF and LCM of 25 and 32.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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3.
Mathematics
Evaluate log base 3 of 81.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
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4.
Quantitative Aptitude
Find the simple interest on AED 31,000 at 10% per annum for 3 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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5.
Quantitative Aptitude
Find the compound interest on AED 10,000 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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6.
Quantitative Aptitude
A vehicle covers 128 km in 4 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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7.
Quantitative Aptitude
Find the average of these 5 numbers: 80, 77, 56, 57, 67.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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8.
Quantitative Aptitude
A vehicle covers 378 km in 6 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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9.
Mathematics
Find the sum of the first 5 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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10.
Quantitative Aptitude
Find the simple interest on AED 36,000 at 4% per annum for 2 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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11.
Quantitative Aptitude
The marked price of an item is AED 500. After a 40% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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12.
Mathematics
Evaluate ∫ from 0 to 5 of 5x^3 dx.
Formula:Definite Integral of a Power
$\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$
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13.
Quantitative Aptitude
What is 15% of 940?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
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14.
Quantitative Aptitude
A invests AED 2,000 and B invests AED 9,000 for the same period. If the total profit is AED 32,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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15.
Quantitative Aptitude
Divide AED 2,169 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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16.
Mathematics
If f(x) = 5x³ + 6x² + 7x, find f′(1).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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17.
Quantitative Aptitude
The marked price of an item is AED 1,500. After a 40% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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18.
Quantitative Aptitude
Find the average of these 8 numbers: 66, 33, 46, 90, 23, 67, 54, 57.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
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19.
Mathematics
For the quadratic 2x² − 8x + 4 = 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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20.
Quantitative Aptitude
A invests AED 4,000 and B invests AED 5,000 for the same period. If the total profit is AED 19,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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