FormulaWon

GRE · Practice Sheet 31

Sheet code: GRE-S31 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 6 distinct objects? (Find ⁿᴄᵣ for n = 6, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
2.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 9?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
View formula →
3.
Mathematics
Find term number 7 of a geometric progression with first term 1 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
4.
Mathematics
Evaluate ∫ from 2 to 3 of 1x^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 →
5.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 5?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
View formula →
6.
Mathematics
In an arithmetic progression with first term 11 and common difference 7, find term number 6.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
7.
Quantitative Aptitude
A vehicle covers 252 km in 6 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
8.
Mathematics
Find the distance between the points (-5, 8) and (8, 1).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
View formula →
9.
Quantitative Aptitude
Find the compound interest on $4,000 at 20% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
View formula →
10.
Quantitative Aptitude
What is 20% of 1,100?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
11.
Mathematics
In an arithmetic progression with first term 7 and common difference 7, find term number 8.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
12.
Quantitative Aptitude
Divide $1,600 between two people in the ratio 6:2. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
13.
Quantitative Aptitude
Pipe A fills a tank in 9 hours and pipe B in 3 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
14.
Quantitative Aptitude
A vehicle covers 144 km in 4 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
15.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
16.
Mathematics
Find the binomial coefficient C(7, 4) — the coefficient of x^4 in (1 + x)^7.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
17.
Mathematics
Evaluate ∫ from 0 to 5 of 4x^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 →
18.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 4?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
View formula →
19.
Quantitative Aptitude
An item is bought for $700 and sold for $805. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
View formula →
20.
Quantitative Aptitude
Divide $415 between two people in the ratio 3:2. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →

Go to full solutions for this sheet