FormulaWon

TMUA · Practice Sheet 32

Sheet code: TMUA-S32 · 20 questions

Name: ______________

Date: ______________

1.
Mathematics
Evaluate ∫ from 0 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 →
2.
Mathematics
If f(x) = 5x³ + 3x² + 3x, find f′(1).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
3.
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 →
4.
Quantitative Aptitude
The marked price of an item is £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
What is 40% of 1,120?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
6.
Mathematics
If f(x) = 3x³ + 4x² + 2x, find f′(3).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
7.
Mathematics
Evaluate ∫ from 2 to 5 of 5x^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 →
8.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
9.
Mathematics
Evaluate ∫ from 0 to 3 of 3x^3 dx.
Formula:Definite Integral of a Power
$\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$
View formula →
10.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
11.
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 →
12.
Quantitative Aptitude
Pipe A fills a tank in 7 hours and pipe B in 14 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
13.
Mathematics
In an arithmetic progression with first term 10 and common difference 1, find term number 22.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
14.
Quantitative Aptitude
A value changes from 200 to 280. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
View formula →
15.
Quantitative Aptitude
A vehicle covers 296 km in 8 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
16.
Mathematics
Evaluate log base 2 of 4.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
View formula →
17.
Quantitative Aptitude
Pipe A fills a tank in 14 hours and pipe B in 15 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
18.
Mathematics
Find the sum of the first 22 terms of an AP with first term 17 and common difference 7.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
19.
Quantitative Aptitude
A can finish a job in 15 days and B in 10 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
20.
Quantitative Aptitude
Find the average of these 5 numbers: 23, 45, 79, 27, 67.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →

Go to full solutions for this sheet