If √3cosec 2x = 2, then the value of

If the seven-digit number 52A6B7C is divisible by 33 and A, B, C are primes then the maximum value of 3A+2B+5C?

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

Find the smallest number that, when divided by 6, 8, and 12, leaves a remainder of 5 in each case.

If '5731x7' is a six-digit number which is divisible by 33, then calculate the value of 'x'.

What is the number of divisors of 480?

A number gives a remainder of 27 when divided by 36. What will be the remainder when the same number is divided by 12?

If the seven-digit number 5728p9 is exactly divisible by 11, then what is the value of (11 p), where p > 0?

What will be the remainder when 57⁷ + 8⁷ is divided by 13?

How can 420 mobile phones be shared equally in the students present in the classroom?