NIMCET 2013 Logical Reasoning Question 73 with Solution

Question 73

Logical Reasoning Puzzles Easy

Direction: Questions are based on the following: 1. A blacksmith has five iron articles A, B, C, D and E, each having a different weight. 2. A weighs twice as much as B 3. B weighs four and half times as much as C 4. C weighs half as much as D 5. D weighs half as much as E 6. E weighs less than A but more than C Which of the following represents the descending order of weighs of the articles?

(A) A, B, E, D, C

(B) B, D, E, A, C

(C) A, B, C, D, E

(D) C, D, E, B, A

View Dynamic Solution & Explanation ▼

Correct Solution: Option A

Step-by-step Solution:

Quick Solution

This question is from the same set of clues as the previous puzzle. To find the descending order of weights, we first need to find the relative weight of each article by expressing them all in terms of a single base unit.

1. Determining the Relative Weights

Let's use the weight of article C as our base unit, represented by the variable 'x'. By following the clues, we can find the weight of every other article relative to C:

Weight of C = x
From "C weighs half as much as D," we get D = 2x.
From "D weighs half as much as E," we get E = 2D, so E = 4x.
From "B weighs four and half times as much as C," we get B = 4.5x.
From "A weighs twice as much as B," we get A = 2B, so A = 9x.

2. Finding the Descending Order

Now that we have the relative weight of each article, we can easily arrange them in descending order (from heaviest to lightest) by comparing their 'x' values:

A (with a weight of 9x)
B (with a weight of 4.5x)
E (with a weight of 4x)
D (with a weight of 2x)
C (with a weight of x)

The correct sequence is A, B, E, D, C.

Final Answer: The correct descending order of weights is A, B, E, D, C.