Number System Test for SSC CGL

Let $0 < x < 1$. Then the correct inequality is:

If the least common multiple of two numbers, 1728 and K is 5184, then how many values of K are possible?

What is the least square number which is exactly divisible by 2, 3, 10, 18 and 20?

If the 5-digit number 676xy is divisible by 3, 7, and 11, then what is the value of (3x - 5y)?

If 5 divides the integer $n$, the remainder is 2. What will be the remainder if $7n$ is divided by 5?

When positive numbers $a$, $b$, and $c$ are divided by 13, the remainders are 9, 7, and 10, respectively. What will be the remainder when $(a + 2b + 5c)$ is divided by 13?

What is the LCM of 3.6, 1.8 and 0.144?

If the 9-digit number $7x79251y8$ is divisible by 36, what is the value of $(10x^2 - 3y^2)$ for the largest possible value of $y$?

How many numbers are there from 300 to 650 which are completely divisible by both 5 and 7?

What is the smallest multiple of 7 that leaves a remainder of 5 when divided by 8, 9, 12, and 15?