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Exam Questions Papers - Engineering

Q1:

Hari (H), Gita (G), Irfan (I) and Saira (S) are sibiligs (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 not twins.
In what order were they born (Oldest first)?

A HSIG

B SGHI

C IGSH

D IHSG

ANS:B - SGHI

(i) H + G > I + S (ii) |G - S| = 1 Meaning G and S will be next to each other in the order. So the option A is ruled out. G not oldest S not youngest (iii) No twins Going by the options, we will try solve the equation, Taking as 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 Generalizing, 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 I I I In this order, G is always less than I and H 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.