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What smallest number should be added to 4456 so that the number is completely divisible by 6?

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Important Questions on Number System and Simplification

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Which of the following numbers should be added to 11158 to make it exactly divisible by 77?
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The greatest number which is on dividing 1657 and 2037 leaves remainder 6 and 5 respectively, is:
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Three numbers which are co- prime to each other are such that the product of the first two is 551 and that of last two is 1073. the sum of the three numbers is :

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The smallest number which is divided by 9, 12 and 16, each time 5 remain. The number is
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Three consecutive positive even numbers are such that thrice the first number exceeds double the third by 2, the third number is
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If x and y are positive integers such that (3x+ 7y) is a multiple of 11, then which of the following will be divisible by 11?

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The sum of three numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is
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Number of students who have opted for the subjects A, B and C are 60,84 and 108 respectively. The examination is to be conducted for these students such that only the students of the same subject are allowed in one room. Also the number of students in each room must be same. What is the minimum number of rooms that should be arranged to meet all these conditions?