FormulaWon

TMUA · Practice Sheet 27

Sheet code: TMUA-S27 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A vehicle covers 420 km in 7 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
2.
Mathematics
For the quadratic 4x² − 2x − 5 = 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 →
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.
Mathematics
In an arithmetic progression with first term 11 and common difference 8, find term number 16.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
5.
Mathematics
Find the sum of the first 5 terms of a GP with first term 3 and common ratio 2.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
View formula →
6.
Mathematics
Find the distance between the points (-7, -8) and (7, 8).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
View formula →
7.
Quantitative Aptitude
Find the simple interest on £3,000 at 8% per annum for 5 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
View formula →
8.
Mathematics
Find term number 5 of a geometric progression with first term 4 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
View formula →
9.
Quantitative Aptitude
A can finish a job in 13 days and B in 17 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
10.
Quantitative Aptitude
Pipe A fills a tank in 5 hours and pipe B in 9 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
11.
Mathematics
Find the slope of the line through (-7, -6) and (1, -3).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
View formula →
12.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →
13.
Quantitative Aptitude
Find the simple interest on £4,000 at 12% per annum for 2 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
View formula →
14.
Quantitative Aptitude
What is 60% of 280?
Formula:Percentage of a Number
$\text{Value} = \dfrac{P}{100}\times N$
View formula →
15.
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 →
16.
Quantitative Aptitude
The sum of the ages of two people is 27 years, and one is 5 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
View formula →
17.
Mathematics
Find the binomial coefficient C(5, 2) — the coefficient of x^2 in (1 + x)^5.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
View formula →
18.
Mathematics
In an arithmetic progression with first term 20 and common difference 7, find term number 20.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
19.
Quantitative Aptitude
Divide £1,548 between two people in the ratio 6:3. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
View formula →
20.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
View formula →

Go to full solutions for this sheet