Multiple choice

Is the number divisible by 7? (A) The number leaves a remainder of 21 when divided by 42. (B) The number is divisible by 98.

  1. If the question can be solved using any one of the statements.

  2. If the question can be solved using either of the statements.

  3. If the question can be solved using both but not either alone.

  4. If the question cannot be solved using the given statements.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement A implies the number is 42k + 21, which is divisible by 7 (since 42 and 21 are multiples of 7). Statement B implies the number is a multiple of 98, which is also a multiple of 7. Thus, either statement alone is sufficient.

AI explanation

Statement A notes the number leaves a remainder of 21 when divided by 42, but since 21 is not less than 42, this actually means the number is completely divisible by 42, which includes 7 as a factor. Statement B states the number is divisible by 98, which also includes 7 as a factor. Therefore, either statement alone is sufficient to conclude the number is divisible by 7. The result is if the question can be solved using either of the statements.

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