The greatest number that will divide 63, 138 and 228 so as to leave the same remainder in each case:
Find the largest number, smaller than the smallest four-digit number, which when divided by 4,5,6 and 7 leaves a remainder 2 in each case. |
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What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10? |
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If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by: |
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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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