FormulaWon

TMUA · Practice Sheet 9

Sheet code: TMUA-S09 · 20 questions

Name: ______________

Date: ______________

1.
Mathematics
Find term number 6 of a geometric progression with first term 1 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
2.
Quantitative Aptitude
A invests £2,000 and B invests £2,000 for the same period. If the total profit is £36,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
3.
Mathematics
In an arithmetic progression with first term 6 and common difference 1, find term number 30.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
4.
Mathematics
Find the slope of the line through (-5, -1) and (-1, 5).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
5.
Mathematics
Find the sum of the first 23 terms of an AP with first term 18 and common difference 4.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
6.
Quantitative Aptitude
Divide £1,659 between two people in the ratio 2:5. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
7.
Quantitative Aptitude
What is 10% of 600?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
8.
Quantitative Aptitude
The marked price of an item is £1,700. After a 30% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
9.
Mathematics
Find the sum of the first 9 terms of an AP with first term 20 and common difference 6.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
10.
Quantitative Aptitude
Two varieties costing £36 and £70 per kg are mixed to give a mixture worth £64 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
View formula →
11.
Quantitative Aptitude
A invests £2,000 and B invests £5,000 for the same period. If the total profit is £15,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
12.
Quantitative Aptitude
A can finish a job in 15 days and B in 17 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
13.
Mathematics
Find the slope of the line through (-2, 6) and (5, 2).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
14.
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 →
15.
Quantitative Aptitude
Find the average of these 8 numbers: 69, 37, 55, 86, 29, 36, 84, 35.
Formula:Arithmetic Mean
$\bar{x} = \dfrac{\sum x}{n}$
View formula →
16.
Mathematics
Find the sum of the first 3 terms of a GP with first term 2 and common ratio 3.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
View formula →
17.
Quantitative Aptitude
What is 20% of 780?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
18.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
19.
Mathematics
If f(x) = 3x³ + 1x² + 9x, find f′(4).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
View formula →
20.
Mathematics
Evaluate ∫ from 2 to 4 of 2x^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 →

Go to full solutions for this sheet