Question : Directions: Among five pencils, A, B, C, D, and E, the length of D is 10 cm. A is half the length of D but double the length of C. E is 2 cm longer than C. The length of B is equal to the lengths of A and E taken together. Which is the longest pencil?
Option 1: E
Option 2: D
Option 3: B
Option 4: C
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Correct Answer: D
Solution :
Given:
D is 10 cm; A = D/2; C = A/2; E = C + 2, B = A + E
Length of D = 10
Length of A = D/2 ⇒ A = 10 ÷ 5 = 2
Length of C = A/2 ⇒ C = 2 ÷ 2 = 1
Length of E = C + 2 = 1 + 2 = 3
Length of B = A + E = 2 + 3 = 5
Thus, the descending order of individuals based on their length is→D > B > E > A > C
So, D is the longest pencil. Hence, the second option is correct.
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