Question : If the number 476xy0 is divisible by both 3 and 11, then in the hundredth and tenth places, the non-zero digits are, respectively:
Option 1: 2 and 3
Option 2: 3 and 2
Option 3: 5 and 8
Option 4: 8 and 5
Correct Answer: 8 and 5
Solution : Let the given number be 476xy0. Then (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3. And, (0 + x + 7) − (y + 6 + 4) = (x − y − 3) must be either 0 or 11. From these conditions, we get x = 8 and y = 5. Hence, the correct answer is 8 and 5.
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Question : The number 1563241234351 is:
Option 1: divisible by 11 but not by 3
Option 2: neither divisible by 3 nor by 11
Option 3: divisible by both 3 and 11
Option 4: divisible by 3 but not by 11
Question : The number 150328 is divisible by 23. If the digits are rearranged in descending order and five times of 13 is subtracted from the new number thus formed, then the resultant number will be divisible by:
Option 1: 3
Option 2: 5
Option 3: 11
Option 4: 2
Question : What are the values of R and M, respectively, if the given number is perfectly divisible by 16 and 11? 34R05030M6
Option 1: 4 and 6
Option 2: 7 and 5
Option 3: 5 and 5
Option 4: 5 and 7
Question : The largest six-digit number is divisible by 198, if the digits are rearranged, even then the number will be divisible by:
Option 2: 6
Option 3: 2
Option 4: 66
Question : What are the values of ‘&’ and ‘#’, respectively, if the following number is perfectly divisible by 9? 51&918#0
Option 1: 9 and 8
Option 2: 2 and 2
Option 3: 4 and 5
Option 4: 8 and 4
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