Question

Among 5 objects P, Q, R, S and T 

i. R is twice as heavy as T 

ii. S is one and half times as heavy as Q 

iii. Q and R together weigh as much as S and T together

iv. P and S together are one and half time as heavy as Q and T together 

Which among the five is the heaviest of all?

​

Answer 1

Answer:

S

Step-by-step explanation:

P, Q, R, S and T  are the 5 objects

S is one and half times as heavy as Q 

S = 1 (1/2)Q =( 3/2)Q = 1.5Q

R is twice as heavy as T 

R = 2T

Q and R together weigh as much as S and T together

Q + R = S + T

Q + 2T = 1.5Q + T

2T- T = 1.5Q - Q

T = 0.5Q = Q/2

==== R = 2T = 2 (Q/2) = Q

R = Q

P and S together are one and half time as heavy as Q and T together 

(P + S) = 1.5 (Q + T )

( P + 1.5Q) = 1.5 (Q + 0.5Q)

P + 1.5Q = 1.5Q + 0.75Q

1.5Q ARE ON BOTH SIDES SO BOTH ARE CANCELLED

P = 0.75Q

Q = Q

R = Q

S = 1.5Q

T = 0.5Q

S is heavy than all bcoz it is 1.5Q