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874 526 954 218 378 682
Q. How many numbers are divisible by 6 in the given series?
  • a)
    One
  • b)
    Two
  • c)
    Three
  • d)
    More than three
  • e)
    None
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Study the following information carefully and answer the questions gi...
To find the numbers that are divisible by 6 in the given series, we need to check each number and see if it is divisible by 6.

Given series: 874 526 954 218 378 682

To determine if a number is divisible by 6, we need to check if it is divisible by both 2 and 3.

1. Divisibility by 2:
A number is divisible by 2 if its units digit is an even number (0, 2, 4, 6, or 8).

2. Divisibility by 3:
A number is divisible by 3 if the sum of its digits is divisible by 3.

Now, let's check each number in the given series:

1. 874: Not divisible by 2 (units digit is 4) and not divisible by 3 (sum of digits is 8+7+4=19, not divisible by 3).

2. 526: Divisible by 2 (units digit is 6) and not divisible by 3 (sum of digits is 5+2+6=13, not divisible by 3).

3. 954: Divisible by 2 (units digit is 4) and divisible by 3 (sum of digits is 9+5+4=18, divisible by 3).

4. 218: Not divisible by 2 (units digit is 8) and not divisible by 3 (sum of digits is 2+1+8=11, not divisible by 3).

5. 378: Divisible by 2 (units digit is 8) and divisible by 3 (sum of digits is 3+7+8=18, divisible by 3).

6. 682: Divisible by 2 (units digit is 2) and not divisible by 3 (sum of digits is 6+8+2=16, not divisible by 3).

Therefore, out of the given series, there are two numbers that are divisible by 6. Hence, the correct answer is option B.
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874 526 954 218 378 682
Hence, option B is correct.
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