Question
Find the least positive number which leaves remainder 5
when divided by 8, remainder 6 when divided by 9, and remainder 7 when divided by 10.Solution
The number is 3 less than each divisor. So, x + 3 is divisible by 8, 9 and 10 LCM = 360 x + 3 = 360 x = 357
How many 3 digit numbers are divisible by 3?
Which of the following numbers is divisible by 11?
What will be the remainder when 742 is divided by 48?
Find the remainder when 23 x 34 x 45 x 56 x 67 x 78 is divided by 11.
When a number is divided by 16, the quotient is 175, and the difference between the quotient and the remainder is 161. Find the number.
When a number is divided by 23, the quotient obtained is 168, and the difference between the quotient and the remainder is 152. Determine the number.
An eight-digit number, 81x3y72 is divisible by 72. Find the maximum possible value of x + y.
What is the value of a so that the seven-digit number 4645a52 is divisible by 72?
A five-digit number 2A78B, is divisible by 55. What is the difference between the maximum and minimum possible value of (A-B)?
If the seven-digit number 52A6B7C is divisible by 33 and A, B, C are primes then the maximum value of 3A+2B+5C?
