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
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What is the greatest positive power of 5 that divides 30! exactly? |
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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: |
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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. |
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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. |
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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? |
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On dividing a number by 999,the quotient is 366 and the remainder is 103.The number is: |
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