Question

Series: 881, 800, 638, 557, 395, 314, 152

Based on the above logic, which of the following option is true?

A: The sum of digits of terms in the series is 17 or 8.

B: The difference between the terms is divisible by 27.

C: (n^th term) = (n + 1)^th term + 81

1. A and B
2. A, B and C
3. B and C
4. A and C
5. Only B

Answer 1

Correct Answer - Option 1 : A and B

Given:

Series: 881, 800, 638, 557, 395, 314, 152

Calculation:

⇒ 881 - 800 = 81

⇒ 800 - 638 = 162

⇒ 638 - 557 = 81

⇒ 557 - 395 = 162

⇒ 395 - 314 = 81

⇒ 314 - 152 = 162

Option A states that -

⇒ sum of digits of terms in series are 17 or 8 (881, 800, 638, 557, 395, 314, 152 = 17, 8, 17, 17, 17, 8, 8 respectively), which is true.

Option B states that -

⇒ Difference between terms is 81 or 162 which is divisible by 27, which is true.

Option C states that -

⇒ 800 ≠  638 + 81, which is false.

∴ From above, options A and B are true.