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Quantitative Aptitude
List of top Quantitative Aptitude Questions
A shopkeeper marks an article at such a price that after giving a discount of \(12\frac{1}{2}%\) on the marked price, he still earns a profit of 15%. If the cost price of the article is ₹385, then the marked price (in ₹) of the article will be:
NPAT - 2021
NPAT
Quantitative Aptitude
Profit & Loss
A vessel contained a solution of acid and water in which water was 64%. Four litres of the solution were taken out of the vessel and the same quantity of water was added. If the resulting solution contained 30% acid, then the quantity (in litres) of the solution, in the beginning in the vessel, was:
NPAT - 2021
NPAT
Quantitative Aptitude
Mixtures & Alligations
The ratio of the incomes of A and B in 2019 was 5 : 4. The ratio of their individual incomes in 2019 and 2020 were 4 : 5 and 2 : 3, respectively. If the total income of A and B in 2020 was ₹7,05,600, then what was the income (in ₹) of B in 2020?
NPAT - 2021
NPAT
Quantitative Aptitude
Ratio and Proportion
The sum of the first 20 terms of the series: \(2^2 + 5^2 + 8^2 + \dots\), is:
NPAT - 2021
NPAT
Quantitative Aptitude
Sequences and Series
A loan of 1,02,000 is to be paid back in two equal annual instalments. If the rate of interest is 4% p.a., compounded annually, then the total interest charged (in ₹) under this instalment plan is:
NPAT - 2021
NPAT
Quantitative Aptitude
Compound Interest
The value of \( \frac{(9 \times 0.81 - 4 \times 0.64)}{(3 \times 0.9 + 2 \times 0.8)} \times (9 \times 0.81 + 4 \times 0.64 - 12 \times 0.72) \) lies between:
NPAT - 2021
NPAT
Quantitative Aptitude
Arithmetic Operations
What should be added to the following expression so that the sum is 1?
\[ \frac{9}{4} \times \frac{7}{18} \text{ of } \frac{72}{49} - \frac{7}{5} \text{ of } \frac{5}{28} \times \frac{2}{5} + \frac{3}{4} \times 2 \div \frac{31}{7} - \frac{2}{3} \times 7 \times \frac{3}{10} \]
NPAT - 2021
NPAT
Quantitative Aptitude
Arithmetic Operations
The value of \( \left( \frac{2}{3} \div \frac{8}{15} + 7 \times \frac{1}{2} \times 3 \times 5 \right) \div \left( 5 \div \frac{5}{6} - 3 \frac{1}{2} \times 2 \times \frac{1}{10} \right) \) of \( 2 \frac{7}{8} \) is:
NPAT - 2021
NPAT
Quantitative Aptitude
Arithmetic Operations
The income of A is \( \frac{2}{3} \) of B’s income and the expenditure of A is \( \frac{3}{4} \) of B’s expenditure. If one-third income of B is equal to the expenditure of A, then the ratio of savings of A and B will be:
NPAT - 2021
NPAT
Quantitative Aptitude
Ratio and Proportion
In an office, there are 215 employees who drink either tea or coffee. 94 out of them drink tea and 63 drink tea but not coffee. How many employees drink coffee but not tea?
NPAT - 2021
NPAT
Quantitative Aptitude
Set Theory
The value of
\[ \sqrt{1 + \frac{\sqrt{3}}{2}} - \sqrt{1 - \frac{\sqrt{3}}{2}} \text{ is:} \]
NPAT - 2021
NPAT
Quantitative Aptitude
Surds and Indices
What is the value of
\[ \frac{(1.5)^4 + (1.2)^4 + 3.24}{(1.5)^2 + (1.2)^2 - 1.8}? \]
NPAT - 2021
NPAT
Quantitative Aptitude
Algebraic Expressions
If U = { 1, 2, 3, 4, 5, 6, 7, 8 } is the universal set, A = { 2, 3, 6, 7 }, B = { 3, 4, 5, 6 }, and C = { 5, 6, 7, 8 }, then n[̅A ∩ (C - B)] + n[̅A ∩ (B ∨ C)] = k, where ̅A is the complement of set A. The value of k is:
NPAT - 2021
NPAT
Quantitative Aptitude
Sets
The range of the function \( f(x) = \sqrt{16 - x^2} \) is:
NPAT - 2021
NPAT
Quantitative Aptitude
Functions
If \( f(x) = \frac{x-1}{x+1} \), then which of the following will be true?
NPAT - 2021
NPAT
Quantitative Aptitude
Functions
Let \( A = \mathbb{R} - \{ 3 \} \) and \( B = \mathbb{R} - \{ 1 \} \). Let \( f : A \to B \) be defined by \( f(x) = \frac{x-2}{x-3} \). What is the value of \( f^{-1} \left( \frac{1}{2} \right) \)?
NPAT - 2021
NPAT
Quantitative Aptitude
Functions
For the nonempty sets \( A \) and \( B \), which of the following is NOT true? \( \overline{A} \) is the complement of A
NPAT - 2021
NPAT
Quantitative Aptitude
Sets
Let \( U \) be the universal set, and \( A \) and \( B \) be the subsets of \( U \). If \( n(U) = 450 \), \( n(A) = 200 \), \( n(B) = 205 \), and \( n(A \cap B) = 15 \), then \( n(\overline{A}\cap \overline{B}) \) is equal to:
NPAT - 2021
NPAT
Quantitative Aptitude
Universal Set
Three persons enter into a partnership by investing in the ratio of 9:8:1. After one year P double his investment and R puts another Rs.6000 to the initial investment. Now the ratio of investment is 9:8:2. What is total investment of P,Q and R after 2 years?
KMAT KERALA - 2021
KMAT KERALA
Quantitative Aptitude
Ratio and Proportion
A retailer purchases shirts from a distributor at the rate of 300 per shirt and puts the label of 450 on each shirt. If the retailer allows some discount and still make a profit of 23%, then what is the discount percentage offered by the shopkeeper?
ATMA - 2021
ATMA
Quantitative Aptitude
Percentage
Read the following information carefully and answer the question that follows.
What is the ratio of sales in second quarter by Volvo to sales in first quarter by Mercedes?
ATMA - 2021
ATMA
Quantitative Aptitude
Data Interpretation
Read the following information carefully and answer the question that follows.
How many trucks did Tata Motors sell in the complete year approximately?
ATMA - 2021
ATMA
Quantitative Aptitude
Data Interpretation
12 men and 6 women can complete a work in 10 days. 3 men and 6 women can complete this work in 25 days. How many men are required to complete this work in 5 days?
ATMA - 2021
ATMA
Quantitative Aptitude
Time and Work
In a basketball team with 12 players, the average height of the players is 170 cm. Out of these players, the average height of 7 players is 166 cm. What is the average height of the remaining 5 players?
ATMA - 2021
ATMA
Quantitative Aptitude
Average
The price of a diamond is directly proportional to square its weight. A trader bought a piece of diamond weighing 10 grams for Rs.2,00,000. He broke it into three pieces of weights 5 grams, 3 grams and 2 grams, and sold them individually. What was the total loss incurred by the trader?
ATMA - 2021
ATMA
Quantitative Aptitude
Ratio and Proportion
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