Among six objects F, G, H, J, K and L : i. H is twice heavy as K, and J is one and half times as heavy as F. ii. G is half as heavy as J. iii. F and J together are less heavy than H. iv. J and L together are twice as heavy as F. If the objects are arranged in descending order of their weight, which object will be second from the bottom?
Among six objects F, G, H, J, K and L : i. H is twice heavy as K, and J is one and half times as heavy as F. ii. G is half as heavy as J. iii. F and J together are less heavy than H. iv. J and L together are twice as heavy as F. If the objects are arranged in descending order of their weight, which object will be second from the bottom? Correct Answer G
Six objects: F, G, H, J, K, L
i. H is twice heavy as K, and J is one and half times as heavy as F.
⇒ H = 2K, J = 1.5F
⇒ K < H, F < J
ii. G is half as heavy as J.
⇒ G = 0.5J
⇒ G < J
⇒ F, G < J
iii. F and J together are less heavy than H.
⇒ H < F + J
⇒ K < H < F + J
iv. J and L together are twice as heavy as F.
⇒ J + L = 2F
I. J is one and half times as heavy as F. Let us assume weight of F = 10x and J = 15x
J > F
II. Both F and J together are less heavy than H. F + J = 25x. Hence, weight of H > 25x.
H > J > F
III. G is half of J. J is one and half times heavy as F. Therefore weight of G = 7.5x
H > J > G > F
IV. J and L together twice heavy as F. J + L = 2F. 15x + L = 2(10x), L = 20x - 15x = 5x.
H > J > G > F > L
V. If weight of H > 25x. H is twice heavy as K then, possible weight of K > 12.5x.
Final arrangement in descending order will be as follows:
H > K/J > J/K > F > G > L.
Hence. the correct answer will be G.
