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:
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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The difference between two numbers is 1365.When the larger number is divided by the smaller one ,the quotient is 6 and the remainder is 15.The smaller number is: |
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The ratio of two numbers is 3:4 and their HCF is 4.Their LCM is: |
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A rectangular courtyard 3.78 meters long and 5.25 meters wide is to be paved exactly with square tiles ,all of the same size. What is the largest size of the tile which could be used for the purpose? |
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The least perfect square which is divisible by 3, 4, 5, 6, 8 is: |
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