Question : What is the value of x in the number 3426x if the number is divisible by 6 but NOT divisible by 5?
Option 1: 3
Option 2: 4
Option 3: 6
Option 4: 8
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Correct Answer: 6
Solution : Since the number 3426x is not divisible by 5, x cannot be equal to 5 or 0. As the number 3426x is divisible by 6, it is divisible by 2 and 3. Hence, x can be an even number. i.e., 2 or 4 or 6 or 8. And (3 + 4 + 2 + 6 + x = 15 + x) should be a multiple of 3. From x = 2 or 4 or 6 or 8, (15 + x) will be a multiple of 3 when x = 6. Hence, the correct answer is 6.
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