List of top Quantitative Aptitude Questions on Number Systems

Evaluate the value of the following expression:
\[ 3^{\left(2+\log_3 5\right)} \div \log_{25} 125 \]
What is the value of \(7^{\left(3+\log_7 5\right)} \) ?
If \(3a25b\) is divisible by 12, find the maximum value of \(|a-b|\).
There are 3 students from section A, 5 from section B and 4 from section C. In how many ways can they occupy 6 seats such that the leftmost seat is occupied by a student of section A and the remaining seats are occupied by 3 students of section B and 2 students of section C?
In the set of consecutive odd numbers $\{1, 3, 5, \ldots, 57\}$, there is a number $k$ such that the sum of all the elements less than $k$ is equal to the sum of all the elements greater than $k$. Then, $k$ equals?
How many factors of 1080 contain exactly one trailing zero?
The number of distinct pairs of integers $(x, y)$ satisfying the inequalities $x>y \ge 3$ and $x + y<14$ is:
In a 3-digit number $N$, the digits are non-zero and distinct such that none of the digits is a perfect square, and only one of the digits is a prime number. Then, the number of factors of the minimum possible value of $N$ is:
For the number \(N = 2^3 \times 3^7 \times 5^7 \times 7^9 \times 10!\), how many factors are perfect squares and also multiples of 420?
Tickets for a concert were sold at Rs. 2, Rs. 4, and Re. 1. Twelve more tickets were sold at Rs. 4 instead of Rs. 2, and twice tickets were sold at Re. 1. If the total amount collected is Rs. 288, then how many tickets of Rs. 2 were sold?
What is the remainder when \( 256^{74} \) is divided by 231?
Let $3 \leq x \leq 6$ and $[x^2] = [x]^2$, where $[x]$ is the greatest integer not exceeding $x$. If set $S$ represents all feasible values of $x$, then which of the following is a possible subset of $S$?
A number when divided by 7 leaves a remainder 4 and when divided by 9 leaves a remainder 5. What is the smallest such number greater than 100?
How many numbers \( x \) exist such that \( 10^{11}<x<10^{12} \) and the sum of digits of \( x \) is 1?
Find the sum of digits of the number \(625^{65} \times 128^{36}\).
N is a 3-digit number with non-zero digits. No digit is a perfect square and only 1 of the digits is a prime number. What is the number of factors of the smallest such number possible?
Using digits 1 to 6 (each at most once), how many 4-digit numbers can be formed that are divisible by 4?
If \(N = 2^3 \times 3^7 \times 5^7 \times 7^9 \times 10!\), then how many factors of N are there which are perfect squares as well as multiples of 420?
N is a 3-digit number with non-zero digits. No digit is a perfect square and only 1 of the digits is a prime number. What is the number of factors of the smallest such number possible?
Which interchange in sign and number would make the equation correct? \[ (96 + 128) + 64 = 2 \]
In this multiplication question, the five letters represent five different digits. What are the actual figures? There is no zero. \[ S E A M \times T = M E A T S \]
The number of all positive integers up to 500 with non-repeating digits is
\(3^{3333}\) divided by 11, then the remainder would be?
For any natural Number 'n', let an be the largest number not exceeding \(\sqrt{n}\) , then a1 + a2 + a3... +a50 =
One direct question from the Number System was 10 to the power 100 divided by seven, candidates had to choose the correct answer for the problem.