List of top Quantitative Aptitude Questions

Let $b$ be a positive integer and $a = b^2 - b$. If $b \ge 4$, then $a^2 - 2a$ is divisible by:

In some code, letters $a, b, c, d, e$ represent 2, 4, 5, 6, and 10 in some order. Given:
I. $a + c = e$,
II. $b - d = d$,
III. $e + a = b$.
Which is true?

In a four-digit number, the sum of the first 2 digits is equal to that of the last 2 digits. The sum of the first and last digits is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other 2 digits. What is the third digit of the number?

Let $x$, $y$, and $z$ be distinct integers. $x$ and $y$ are odd and positive, and $z$ is even and positive. Which one of the following statements cannot be true?

In a number system, the product of 44 and 11 is 3414. The number 3111 of this system, when converted to the decimal number system, becomes:

At a certain fast food restaurant, Brian can buy 3 burgers, 7 shakes, and one order of fries for Rs. 120 exactly. At the same place it would cost Rs. 164.5 for 4 burgers, 10 shakes, and one order of fries. How much would it cost for an ordinary meal of one burger, one shake, and one order of fries?

Three classes X, Y and Z take an algebra test. - Average score in X: 83.
- Average score in Y: 76.
- Average score in Z: 85.
- Average of X and Y together: 79.
- Average of Y and Z together: 81.
What is the average for all three classes?

A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is:

A red light flashes three times per minute and a green light flashes five times in 2 min at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour?

Ujakar and Keshab attempted to solve a quadratic equation.
- Ujakar made a mistake in writing down the constant term and got roots (4, 3).
- Keshab made a mistake in writing down the coefficient of $x$ and got roots (3, 2).
What will be the exact roots of the original quadratic equation?

Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?

Two men X and Y started working for a certain company at similar jobs on January 1, 1950. X asked for an initial salary of Rs. 300 with an annual increment of Rs. 30. Y asked for an initial salary of Rs. 200 with a rise of Rs. 15 every 6 months. Assume that the arrangements remained unaltered till December 31, 1959. Salary is paid on the last day of the month. What is the total amount paid to them as salary during the period?

A set of consecutive positive integers beginning with 1 is written on the blackboard. A student erased one number. The average of the remaining numbers is $35\frac{7}{17}$. What was the number erased?

$x$ and $y$ are real numbers satisfying the conditions $2<x<3$ and $-8<y<-7$. Which of the following expressions will have the least value?

Every 10 years the Indian Government counts all the people living in the country. Suppose that the director of the census has reported the following data on two neighbouring villages Chota Hazri and Mota Hazri:
- Chota Hazri has 4,522 fewer males than Mota Hazri.
- Mota Hazri has 4,020 more females than males.
- Chota Hazri has twice as many females as males.
- Chota Hazri has 2,910 fewer females than Mota Hazri.
What is the total number of males in Chota Hazri?

Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took one-third of the mints, but returned four. Fatima then took one-fourth of what was left but returned three. Eswari then took half of the remainder but threw two back. The bowl had only 17 mints left. How many mints were originally in the bowl?

Of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least:

At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in 6 hr less than it takes him to travel the same distance upstream. If he could double his usual rowing rate for this 24 miles round trip, the downstream 12 miles would then take only 1 hr less than the upstream 12 miles. What is the speed of the current in miles per hour?

If 09/12/2001 happens to be Sunday, then 09/12/1971 would have been a:

For a Fibonacci sequence, from the third term onwards, each term is the sum of the previous two. If the difference in squares of the 7th and 6th terms is 517, what is the 10th term?

Let $x$ and $y$ be positive numbers such that $x+y = 1$. Find the minimum value of $\left(x + \frac{1}{x}\right)^2 + \left(y + \frac{1}{y}\right)^2$.

A change-making machine contains 1-rupee, 2-rupee, and 5-rupee coins. Total coins = 300, total value = Rs. 960. If 1-rupee and 2-rupee coin counts are interchanged, value decreases by Rs. 40. Find the total number of 5-rupee coins.

Ashish is given Rs. 158 in one-rupee denominations. He must allocate them into a minimum number of bags so any amount from Re 1 to Rs. 158 can be made without opening a bag. What is the minimum number of bags?