List of top Quantitative Aptitude Questions

What is the number of positive integers less than or equal to 1000 that are divisible by neither 2 nor 5?
If \( x + \frac{1}{x} = 2 \), find the value of \( x^{10} + \frac{1}{x^{10}} \).
In a college election, 5 candidates contested and 100 students voted. If each student voted for 2 candidates, and each pair of candidates received the same number of votes, how many votes did each candidate get?
If \( g(x) = p(x) = qx^n \), and \( p \) and \( q \) are constants, then at \( x = 0 \), \( g(x) \) will be:
In triangle PQR, \( PQ = 12 \) cm, \( PR = 9 \) cm, and \( \angle Q + \angle R = 120^\circ \). Find the length of QR.
Consider the curves: \[ y = 2x^3 + 3x^2 + 4, y = 3x^2 - 2x + 8 \] How many times do they intersect for \( -3 \leq x \leq 2 \)?
Some persons are standing in a circle, all facing the center. Each pair not adjacent sings a 3-minute song, one after another. Total time = 1 hour. How many persons are there?
Sujith says: - Multiplying first two digits by 3 gives all ones.
- Multiplying next two digits by 6 gives all twos.
- Multiplying last two digits by 9 gives all threes.
What is the sum of digits in the number?
Two cars P and Q start from points A and B simultaneously. They meet 40 km from B. After meeting, they exchange speeds and return. They meet again 20 km from A. Find distance AB.
If each X-Ray occupies 30MB and a new technology reduces space by 60%, what is the total magnetic media memory required to store all the X-Rays in the year 2000? (1MB = \(10^6\) Bytes)
In a bag there are a total of 150 coins in three denominations – Re.1, ₹2 and ₹5 – with at least one coin of each denomination. The total value of Re.1 coins is at least 50% of the total value of the coins. There are 23 ₹5 coins and the total value of ₹2 coins is at least 3% of the total value of coins. Find the number of ₹2 coins in the bag.
A race course is 400 metres long. A and B run a race and A wins by 5 metres. B and C run over the same course and B wins by 4 metres. C and D run over it and D wins by 16 metres. If A and D run over it, then who would win and by how much?
A leak was found in a ship when it was 77 km from the shore. The leak admits 2.25 tonnes of water in 5.5 minutes. 92 tonnes will suffice to sink the ship. The pumps can throw out water at 12 tonnes per hour. Find the average rate of sailing at which the ship may reach the shore as it begins to sink.
A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?
A man buys a certain quantity of apples, mangoes and bananas. If the mangoes were to cost the same as apples, he would have to forego the bananas to buy the same number of mangoes as he had bought earlier (for the same total amount). The amount spent by him on mangoes and bananas together is 50\% more than the amount spent on apples. The total amount spent is ₹ 140. The number of mangoes bought is the same as the number of bananas. If he wishes to buy the same number of apples as well, how much additional amount would he have to spend?
At a college football game, $\tfrac{4}{5}$ of the \emph{lower-deck} seats were sold. The lower deck contains $\tfrac{1}{4}$ of all stadium seats. Overall, $\tfrac{2}{3}$ of all stadium seats were sold. What fraction of the \emph{unsold} seats in the stadium lay in the lower deck?
A country follows a progressive taxation system under which the income tax rates applicable varies for different slabs of income. Total tax is computed by calculating the tax for each slab and adding them up. The rates applicable are as follows :
% Requires: \usepackage{graphicx} \begin{table}[h] \centering \begin{tabular}{|c|c|} \hline Annual income & Tax rate
\hline 0 - 50,000 & 0\%
\hline 50,001 - 60,000 & 10\%
\hline 60,001 - 1,50,000 & 20\%
\hline > 1,50,000 & 30\%
\hline \end{tabular} \caption{Tax Rate Table Based on Annual Income} \label{tab:tax_rate} \end{table} If annual income is ₹ $1{,}70{,}000$, what is the total tax payable?
Large (L), medium (M) and small (S) ships bring water. Given: \(4L = 7S\); and \(3M\) carry the same as \(2L + 1S\). A fleet of \(15L, 7M, 14S\) made 36 journeys and brought a certain quantity of water. How many journeys would \(12L, 14M, 21S\) need to bring the same quantity?
The age of the father 5 years ago was 5 times the age of his son. At present the father's age is 3 times that of his son. What is the present age of the father?
A private telephone company serving a small community makes a profit of ₹ 12 per subscriber, if it has 725 subscribers. It decides to reduce the rate by a fixed sum for each subscriber over 725, thereby reducing the profit by 1 paise per subscriber. Thus, there will be profit of ₹ 11.99 on each of the 726 subscribers, ₹ 11.98 on each of the 727 subscribers etc. The number of subscribers which will give the company, the maximum profit, is:
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now the number of men and women is equal. In the beginning, how many passengers entered the bus?
A milkman buys milk contained in $10$ vessels of equal size. If he sells his milk at ₹ 5 per litre, he loses ₹ 200; if he sells it at ₹ 6 per litre, he would gain ₹ 150 on the whole. Find the number of litres contained in each vessel.
A firm of readymade garments makes both men's and women's shirts. Its average profit is $6\%$ of the sales. Average profit in men's shirts is $8\%$ of the sales and women's shirts comprise $60\%$ of the output. The average profit per sale rupee in women's shirts is:
In an express train, the numbers of passengers travelling in A.C. Sleeper Class, First Class and Sleeper Class are in the ratio $1:2:3$, and the fares of these classes are in the ratio $5:4:2$. If the total income from the train is ₹ 54000, find the income from the A.C. Sleeper Class.
A dealer buys three kinds of dry fruits at ₹ 100, ₹ 80 and ₹ 60 per kg in the weight ratio $12:15:20$. Selling the first two together gives him $20\%$ profit; overall he has no gain no loss. Find the percentage loss on the third kind.