FormulaWon

SAT · Practice Sheet 43

Sheet code: SAT-S43 · 20 questions

Name: ______________

Date: ______________

1.
Mathematics
Find the sum of the first 7 terms of a GP with first term 4 and common ratio 3.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
View formula →
2.
Mathematics
If f(x) = 3x³ + 2x² + 7x, find f′(4).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
3.
Quantitative Aptitude
An item is bought for AED 400 and sold for AED 600. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
View formula →
4.
Quantitative Aptitude
The marked price of an item is AED 800. After a 5% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
5.
Quantitative Aptitude
Find the average of these 5 numbers: 81, 36, 44, 74, 51.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →
6.
Mathematics
Evaluate ∫ from 2 to 3 of 1x^2 dx.
Formula:Definite Integral of a Power
$\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$
View formula →
7.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
8.
Mathematics
Find the binomial coefficient C(5, 4) — the coefficient of x^4 in (1 + x)^5.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
9.
Quantitative Aptitude
A can finish a job in 5 days and B in 18 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
10.
Quantitative Aptitude
A value changes from 900 to 720. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
View formula →
11.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
12.
Quantitative Aptitude
A can finish a job in 17 days and B in 15 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
13.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
14.
Quantitative Aptitude
Divide AED 1,716 between two people in the ratio 6:5. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
15.
Quantitative Aptitude
The marked price of an item is AED 1,900. After a 40% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
16.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 8?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
View formula →
17.
Quantitative Aptitude
The marked price of an item is AED 600. After a 15% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
18.
Quantitative Aptitude
Pipe A fills a tank in 8 hours and pipe B in 4 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
19.
Mathematics
Find term number 4 of a geometric progression with first term 5 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
20.
Quantitative Aptitude
Two varieties costing AED 26 and AED 88 per kg are mixed to give a mixture worth AED 63 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
View formula →

Go to full solutions for this sheet