Multiple choice

Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1st january. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts: i. Hari's age + Gita's age > Irfan's age + Saira's age ii. The age difference between Gita and Saira is 1 year. However Gita is not the oldest and Saira is not the youngest. iii. There are no twins.

In what order were they born (oldest first)?

  1. HSIG

  2. SGHI

  3. IGSH

  4. IHSG

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let S, G, H, I be ages. From (ii): S-G=1 year, S not oldest, I not youngest. From (iii): all ages different. From (i): H+G > I+S. If S > G (S older by 1): Try order SGHI. Ages: S > G > H > I. Then H+G > I+S becomes H+G > I+S, which holds if G-I > S-H, or 1 > S-H, meaning S-H < 1, impossible since no twins. So G > S (G older by 1). Try SGHI: S > G > H > I won't work. Try SGHI with G > S: ages G > S > H > I gives H+S > I+G, but we need H+G > I+S. This means G-S > I-H, or 1 > I-H, meaning I-H < 1, impossible. Let me reconsider: the order SGHI with G > S > H > I satisfies: age difference G-S < 3, S-H < 3, H-I < 3, G-S = 1, S not oldest, I not youngest, H+G > I+S.