Playing with Nu...

Find the numbers between 400 and 550 which when divided by 6, 8 or 9 leave 5 as remainder.

Given that the number 57w88 is divisible by 18, where w is a single digit, what is the least possible value of w?

A 3-digit number 'dfg' is divisible by 6 if

In a division, if the dividend is 12 times the quotient and 6 times the remainder, then what will be the divisor?

Which of the following statements is INCORRECT?

A. If the last two digits of a whole number are divisible by 4, then the entire number is divisible by 4.
B. If the sum of the digits of a number is divisible by 9, then the actual number is also divisible by 9.
C. If the last three digits of a whole number are divisible by 7, then the entire number is divisible by 7.
D. Take the difference between alternating sum of the digits in the number. If that is divisible by 11, so is the original number.

Fill in the blanks with the help of the table given below these statements:

(i) If 42a5 is a multiple of 9 and 'a' is a single digit number, then the value of 'a' is ___P____.
(ii) The usual form of the number 9 × 100 + 7 × 1 is ____Q____.
(iii) If M is a number such that M ÷ 5 gives a remainder of 1, then the number at the ones place of M is ____R____.
 

Match the columns:

How many five-digit numbers of the form AABAA are divisible by 9?