Question

There are 6 volumes of books on a rack kept in order (such as, vol. 1, vol. 2 and so on). After some readers used them, their order got disturbed. The changes showed as follows:
Vol.5 was directly to the right of vol. 2
Vol 4 has vol. 6 to its left and both were not at Vol.3's place.
Vol.1 has Vol.3 on right and Vol.5 on left.
An even numbered volume is at Vol.5's place.
Find the order in which the books are kept now, from the four given alternatives:

• A. 6, 3, 5, 1, 4, 2
• B. 4, 6, 3, 5, 1, 2
• C. 3, 4, 1, 6, 5, 2
• D. 2, 5, 1, 3, 6, 4

Answer 1

The Correct Option is D

To solve the problem, we analyze each statement and eliminate possibilities step by step:

1. Analyzing Statement 1: Vol.5 is directly to the right of Vol.2.
   This means wherever we place Vol.2, Vol.5 must immediately follow.
2. Analyzing Statement 2: Vol.4 has Vol.6 to its left and both are not at Vol.3's place.
   This indicates Vol.6 must be immediately to the left of Vol.4, ruling out position 3 for either.
3. Analyzing Statement 3: Vol.1 has Vol.3 on right and Vol.5 on left.
   This means Vol.1, Vol.5, and Vol.3 must be in this specific order.
4. Analyzing Statement 4: An even numbered volume is at Vol.5's place.
   This means either Vol.2, Vol.4, or Vol.6 must be in the fifth position.

Let's evaluate these constraints against the options:

Option	Sequence	Analysis
1	6, 3, 5, 1, 4, 2	Vol.5 is not directly after Vol.2, fails the first condition.
2	4, 6, 3, 5, 1, 2	Vol.2 is not directly before Vol.5, fails the first condition.
3	3, 4, 1, 6, 5, 2	Vol.5 is not directly after Vol.2, fails the first condition.
4	2, 5, 1, 3, 6, 4	Satisfies all conditions: 1. Vol.5 is directly after Vol.2. 2. Vol.6 is immediately to the left of Vol.4, and neither is in position 3. 3. Vol.1 has Vol.3 on right, Vol.5 on left. 4. Vol.6, an even number, is in Vol.5's position (4th).

Thus, the correct order is 2, 5, 1, 3, 6, 4.