FormulaWon

GRE · Practice Sheet 22

Sheet code: GRE-S22 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 8 distinct objects? (Find ⁿᴄᵣ for n = 8, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
2.
Quantitative Aptitude
The marked price of an item is $700. After a 5% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
3.
Mathematics
In an arithmetic progression with first term 16 and common difference 6, find term number 23.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
4.
Mathematics
Find the distance between the points (7, -4) and (-4, 1).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
View formula →
5.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 6?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
View formula →
6.
Mathematics
Evaluate ∫ from 0 to 5 of 2x^1 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
A invests $10,000 and B invests $5,000 for the same period. If the total profit is $22,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
8.
Quantitative Aptitude
Pipe A fills a tank in 14 hours and pipe B in 7 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
9.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
10.
Mathematics
Evaluate log base 10 of 1,000,000.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
View formula →
11.
Mathematics
Find term number 7 of a geometric progression with first term 2 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
12.
Mathematics
Find the slope of the line through (1, 0) and (5, -5).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
13.
Quantitative Aptitude
Find the HCF and LCM of 12 and 29.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
View formula →
14.
Quantitative Aptitude
A invests $5,000 and B invests $2,000 for the same period. If the total profit is $13,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
15.
Quantitative Aptitude
A vehicle covers 355 km in 5 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
16.
Quantitative Aptitude
Find the average of these 8 numbers: 48, 51, 45, 47, 59, 38, 89, 57.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →
17.
Quantitative Aptitude
Divide $935 between two people in the ratio 4:7. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
18.
Mathematics
In an arithmetic progression with first term 10 and common difference 9, find term number 14.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
19.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 9 distinct objects? (Find ⁿᴘᵣ for n = 9, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
20.
Quantitative Aptitude
Find the average of these 6 numbers: 85, 70, 77, 24, 89, 40.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →

Go to full solutions for this sheet