Subject
Quantitative Aptitude
Topic
Number
A thief steals half the total number of loaves of bread plus 1/2 loaf from a bakery. A second thief steals half the remaining number of loaves plus 1/2 loaf and so on. After the 5th thief has stolen there are no more loaves left in the bakery. What was the total number of loaves did the bakery have at the beginning ?
A thief steals half the total number of loaves of bread plus 1/2 loaf from a bakery. A second thief steals half the remaining number of loaves plus 1/2 loaf and so on. After the 5th thief has stolen there are no more loaves left in the bakery. What was the total number of loaves did the bakery have at the beginning ?
ক)
21খ)
11গ)
17ঘ)
31Explanation
Let y be the total number of loaves a be the remaining loaves after 1st thief b be the remaining loaves after 2nd thief and c, d..so on after 3 and 4 th e = 0 be the remaining loaves after 5th thief a = y - (y/2 + 1/2) = y/2 - 1/2 b = a - (a/2 + 1/2) = a/2 - 1/2 c = b - (b/2 + 1/2) = b/2 - 1/2 d = c - (c/2 + 1/2) = c/2 - 1/2 e = d - (d/2 + 1/2) = d/2 - 1/2 we know that, e = 0, thus by substitution, we get d = 1 c = 3 b = 7 a = 15 y = 31 Therefore total number of bread loaves in bakery was 31.Related questions
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