FormulaWon

GRE · Practice Sheet 37

Sheet code: GRE-S37 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Pipe A fills a tank in 7 hours and pipe B in 13 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
2.
Quantitative Aptitude
Find the compound interest on $3,000 at 20% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
View formula →
3.
Quantitative Aptitude
The marked price of an item is $400. After a 25% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
4.
Quantitative Aptitude
Pipe A fills a tank in 11 hours and pipe B in 8 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
5.
Mathematics
Find the sum of the first 6 terms of a GP with first term 1 and common ratio 2.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
View formula →
6.
Mathematics
If f(x) = 3x³ + 3x² + 7x, find f′(3).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
7.
Mathematics
In an arithmetic progression with first term 7 and common difference 9, find term number 9.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
8.
Quantitative Aptitude
A value changes from 400 to 460. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
View formula →
9.
Mathematics
Find the sum of the first 20 terms of an AP with first term 8 and common difference 9.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
10.
Quantitative Aptitude
Find the simple interest on $31,000 at 12% per annum for 4 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
View formula →
11.
Quantitative Aptitude
What is 75% of 1,060?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
12.
Mathematics
Find the sum of the first 23 terms of an AP with first term 17 and common difference 1.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
13.
Mathematics
Evaluate ∫ from 1 to 3 of 3x^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 →
14.
Quantitative Aptitude
A vehicle covers 158 km in 2 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
15.
Quantitative Aptitude
Find the compound interest on $13,000 at 20% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
View formula →
16.
Quantitative Aptitude
A invests $4,000 and B invests $5,000 for the same period. If the total profit is $11,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
17.
Quantitative Aptitude
Pipe A fills a tank in 14 hours and pipe B in 8 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
18.
Mathematics
If f(x) = 1x³ + 4x² + 1x, find f′(1).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
19.
Quantitative Aptitude
Find the compound interest on $8,000 at 20% per annum compounded annually for 3 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
View formula →
20.
Mathematics
For the quadratic 4x² − 7x − 4 = 0, find the sum and product of its roots.
Formula:Vieta's Formulas (roots)
$\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$
View formula →

Go to full solutions for this sheet