Question

Series: 191, 276, 366, 461, 561, 666, 776.

A = n^th term and B = (n + 1)^th term

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

I: B = A + (80 + 5, 10, 15, 20,....)

II. (B - A) is divisible by 16.

III: Difference between B and A is multiple of 80.

1. Only I
2. All three I, II and III
3. Only II
4. Only III
5. Both I and III

Answer 1

Correct Answer - Option 1 : Only I

Given:

Series: 191, 276, 366, 461, 561, 666, 776.

Calculation:

⇒ 276 - 191 = 85

⇒ 366 - 276 = 90

⇒ 461 - 366 = 95

⇒ 561 - 461 = 100

⇒ 666 - 561 = 105

⇒ 776 - 666 = 110

Option I states that -

⇒ 276 = 191 + (80 + 5) similar for 776 = 666 + (80 + 30) which is true.

Option II states that -

⇒ (B - A) is not divisible by 16.

Option III states that -

⇒ Difference between B and A is not multiple of 80, which is false.

∴ From above, only I option is true.