FormulaWon

CAT · Practice Sheet 39

Sheet code: CAT-S39 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A can finish a job in 8 days and B in 4 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
2.
Mathematics
Find the sum of the first 16 terms of an AP with first term 2 and common difference 6.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
3.
Mathematics
Evaluate log base 2 of 32.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
View formula →
4.
Quantitative Aptitude
Two varieties costing ₹13 and ₹72 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 →
5.
Quantitative Aptitude
A invests ₹5,000 and B invests ₹3,000 for the same period. If the total profit is ₹40,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
6.
Quantitative Aptitude
Pipe A fills a tank in 11 hours and pipe B in 6 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
View formula →
7.
Quantitative Aptitude
Two varieties costing ₹24 and ₹90 per kg are mixed to give a mixture worth ₹85 per kg. Find the mixing ratio.
Formula:Alligation (Mixtures)
$\dfrac{q_1}{q_2} = \dfrac{p_2-m}{m-p_1}$
View formula →
8.
Mathematics
Find the sum of the first 18 terms of an AP with first term 15 and common difference 9.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
View formula →
9.
Quantitative Aptitude
The marked price of an item is ₹1,000. After a 40% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
View formula →
10.
Quantitative Aptitude
Find the simple interest on ₹42,000 at 6% per annum for 4 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
View formula →
11.
Mathematics
In an arithmetic progression with first term 2 and common difference 1, find term number 7.
Formula:AP nth Term
$a_n = a + (n-1)d$
View formula →
12.
Quantitative Aptitude
A vehicle covers 672 km in 8 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
View formula →
13.
Mathematics
Evaluate log base 3 of 243.
Formula:Logarithm Evaluation
$\log_{b}(b^{k}) = k$
View formula →
14.
Quantitative Aptitude
An item is bought for ₹300 and sold for ₹450. Find the profit percentage.
Formula:Profit Percentage
$\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$
View formula →
15.
Quantitative Aptitude
A invests ₹6,000 and B invests ₹10,000 for the same period. If the total profit is ₹32,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
View formula →
16.
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 →
17.
Mathematics
For the quadratic 3x² − 9x + 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 →
18.
Quantitative Aptitude
A can finish a job in 11 days and B in 17 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
View formula →
19.
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 →
20.
Quantitative Aptitude
A value changes from 400 to 340. Find the percentage decrease.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
View formula →

Go to full solutions for this sheet