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 are born one after another) is less than 3 years. Given are 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

(i) G and S will be next to each other in the order. So,  option 1 is ruled out. (ii) G is not the oldest; S is not the youngest. (iii) No twins Going by the options, we will try solve the equation. Taking an example with youngest aged 1, we can try to solve the equation, and correct the age (started with ages 4, 3, 2, 1) to suit conditions (i) and (ii), which gives 5, 4, 3, 1. S I + 4 - Generalising, we can take their ages in terms of I's age. G I + 3 - In this case, H + G > I + S. H I + 2 - Since 2I + 5 > 21 + 4 In this order, G is always less than I and H is always less than S. So, G > I and H < S S - Implies G + H < I + S; all values are positive. H - Defies condition (i). Hence, incorrect. I - In this order, H < I, G < S H - Hence, H + G < I + S S - Defies condition (i). G - Hence, incorrect.