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When a number is divided by 19, the quotient is 145, and the difference between the quotient and the remainder is 134. Find the number.

Find the greatest value of (a + b) such that an 8-digit number 4523a60b is divisible by 15.

If a number 5678x43267y is completely divisible by 72 then (x+y)?

An eight-digit number, 73x216y4 is divisible by 72. Find the maximum possible value of x + y.

A six-digit number 23p7q6 is divisible by 24. Then the greatest possible value for (p + q) is:

How many factors of 2³ × 3³ × 5⁴ × 7³ are divisible by 50 but not by 100.

A number n when divided by 6, leaves a remainder of 3. What will be the remainder when (n² +5n+8) is divided by 6?

If a nine-digit number 785x3678y is divisible by 72, then the value of (x − y) is:

Find the smallest positive integer n such that 6n + 5 is divisible by 7.

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