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If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by:

3 but not by 9
9
6
27
Additional Questions

What is the greatest positive power of 5 that divides 30! exactly?

Answer

In how many ways can a number 6084 be written as a product of two different factors ?

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What is the smallest four-digit number which when divided by 6, leaves a remainder of 5 and when divided by 5 leaves a remainder of 3?

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P is an integer. P>883. If P-7 is a multiple of 11, then the largest number that will always divide (P+4) (P+15) is:

Answer

Let C be a positive integer such that C + 7 is divisible by 5. The smallest positive integer n (>2) such that C + n2 is divisible by 5 is:

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Four bells begin to toll together and then each one at intervals of 6 s, 7 s, 8 s and 9 s respectively. The number of times they will toll together in the next 2 hr is:

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The product of two numbers is 16200. If their LCM is 216, find their HCF.

Answer

There are four prime numbers written in ascending order of magnitude. The product of first three is 385 and that of last three is 1001. Find the first number.

Answer

M and N are two distinct natural numbers. HCF and LCM of M and N are K and L respectively. A is also a natural number, which of the following relations is not possible?

Answer

On dividing a number by 999,the quotient is 366 and the remainder is 103.The number is:

Answer
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