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Practice Divisibility rules Questions and Answers

If a number 5678x43267y is completely divisible by 72 then x+y?
If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be:
A sum of ₹4,360 was to be divided among A,B, C and D in the ratio of 1/3 : 1/4: 1/5 : 1/8, but it was divided in the ratio of by mistake. As a result:
What is the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11?
If a nine-digit number 785x3678y is divisible by 72, then the value of (x − y) is:
What is the smallest perfect square that is divisible by each of 42, 48 and 60?
Find the greatest number 23a68b, which is divisible by 3 but NOT divisible by 9.
The greatest number that will divide 398, 437 and 5425 leaving 7, 12 and 2 as remainders, respectively, is:
Find the greatest value of (a + b) such that an 8-digit number 4523a60b is divisible by 15.
Find the greatest number of four digits which is divisible by 14, 30 and 42.
What is the largest common divisor of the numbers 1026, 2268 and 2430?
What will be the remainder when 742 is divided by 48?
Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?
Find the greatest number that will divide 49, 147 and 322 to leave the same remainder in each case.
A number n when divided by 6, leaves a remainder 3. What will be the remainder when (n2 + 5n + 8) is divided by 6?

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