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x + 5x – 2x – 24 has a zero at x = 6. Find the other zeros.

How many numbers between 100 and 500 are divisible by both 4 and 6?

Find the greatest number of four digits which is divisible by 14, 30 and 42.

A six-digit number 27p5q8 is divisible by 36. What is the greatest possible value for (p×q)?

Find the greatest number 23a68b, which is divisible by 3 but NOT divisible by 9.

A five-digit number 2A78B, is divisible by 55. What is the difference between the maximum and minimum possible value of (A-B)?

18 is divided into three parts which are in arithmetic progression (A.P.) in such a way that the sum of their square is 158. Find the square of the sum

Which one of the following numbers is divisible by 11?

Find the largest 4-digit number that is exactly divisible by 27 and 45.

On dividing a certain number by 304, we get 43 as the remainder. If the same number is divided by 16, what will be the remainder?