Aptitude Test: Number System
No. of Questions: 10
Time Duration: 10 min
1.
The expression $508^2 - 501^2$ is divisible by which of the following?
2.
If $a=−∣b∣$ and $b>0$, which of the following must be true?
3.
If $m = \frac{10!}{7!3!}$, which of the following is NOT a factor of m?
4.
Which of the following is a prime number?
5.
What is the smallest positive integer that must be subtracted from 2025 so that the difference is completely divisible by 21?
6.
Find the Greatest Common Factor (GCF) of 210 and 294.
7.
The sum of four consecutive positive integers is 190. What is the smallest of these integers?
8.
A number when divided by 7 leaves a remainder of 3, and the resulting quotient when divided by 5 leaves a remainder of 2. What will be the remainder when the original number is divided by 35?
9.
Simplify the expression: $5^3 - 4^2 + \sqrt{121} - 2^0$
10.
If positive integer z is a multiple of 15 and 25, which of the following must be true?
I. z is divisible by 5
II. z is divisible by 45
III. z is divisible by 75
