Five objects A, B, C, D and E are of different weights. The weight of B is double the weight of E. The weight of C is three times the weight of A. D's weight is four times the weight of C. The weight of B is half the weight of D. Which object is the heaviest among all?
Five objects A, B, C, D and E are of different weights. The weight of B is double the weight of E. The weight of C is three times the weight of A. D's weight is four times the weight of C. The weight of B is half the weight of D. Which object is the heaviest among all? Correct Answer D
According to given information :
1) The weight of B is double the weight of E
⇒ B = 2E ------------- (i)
2) The weight of C is three times the weight of A.
⇒ C = 3A -------------(ii)
3) D's weight is four times the weight of C.
⇒ D = 4C --------------(iii)
4) The weight of B is half the weight of D
⇒ B = D/2 → D = 2B ------------(iv)
From equation 1, 2, 3, 4 the weight of objects are :
D = 4C
Putting value of C from Eq. (ii);
D = 4 × 3A = 12A
And D = 2B
Putting value of B from Eq. (i);
D = 2 × 2E
D = 4E
Now, we will get values of D;
D = 12A, D = 2B, D = 4C, D = 4E
∴ Here D is heaviest among all.
Hence, the correct answer is "D".