Question

Hari(H), Gita(G), Irfan(I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on $1^{st}$ January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:
1. Hari's age + Gita's age > Irfan's age + Saira's age.
2. The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest.
3. There are no twins.
In what order were they born (oldest first)?

• A. HSIG
• B. SGHI
• C. IGSH
• D. IHSG

Answer 1

The correct option is B SGHI

Suppose : Hari's age : H, Gita's age : G
Saira's age : S, Irfan's age : I

$\bullet$ H+G >I +S

$\bullet$ Using statement (2) both G-S = 1 or S-G = 1; G can't be oldest and S can't be youngest.

$\bullet$ There are no twins thus using statement (2) either GS or SG possible.

(A) HSIG : not possible as there is I between S and G which is not possible using statement (3).

(B) SGHI : SG order is possible,
S>G>H>I and G +H > S+ I (possible ) Because if (S=G+1; and G=H+1 and H= I +2 then G +(I+2) > (G+1) +I)

(C) IGSH : according to this I > G and S> H thus adding these both inequalities we get I + S>G+H which is opposite of statement (2) thus not possible.

(D) IHSG : according to this I > H and S>G thus adding both inequalities I+S>H+G which is opposite of statement (2). Thus not possible.