During Diwali, Meera arranges 50 lamps in a row. A golden lamp is 18th from left and 33rd from right. A silver lamp is 25th from left and 26th from right. How many lamps are there between the golden and silver lamps?
Show answer & explanation
Correct answer: A
Explanation
Total lamps = 50
Gold lamp: 18th from the left and 33rd from the right
Silver lamp: 25th from the left and 26th from the right
We need to check if this arrangement is possible and, if so, find the number of lamps between them.
Let's examine the situation:
For any lamp:
Position from the left + Position from the right - 1 = Total lamps
For the gold lamp: 18 + 33 - 1 = 50
50 = 50 (correct)
For the silver lamp: 25 + 26 - 1 = 50
50 = 50 (correct)
Find the number of lamps between the gold and silver lamps:
Gold lamp: 18th from the left
Silver lamp: 25th from the left
Number of lamps between them:
= (25 - 18) - 1
= 7 - 1
= 6