There are 3 colored boxes - Red, Green and Blue. Each box
contains 2 envelopes. Each envelope contains money - two of
them contain Rs. 25000 each, two of them contain Rs. 15000
each and remaining two contain Rs. 10000 each.
There is one statement written on the cover of each box.
* Red Box: Both, a red box and a blue box contain Rs. 10000
each.
* Green Box: Both, a green box and a red box contain Rs.
25000 each.
* Blue Box: Both, a blue box and a green box contain Rs.
15000 each.
Only one of the above 3 statements is true and the
corresponding box contains the maximum amount.
Can you tell which box contains the maximum amount and how much?
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Answer Posted / guest
Blue box contains the maximum amount Rs. 40000
As it is given that only one of the given 3 statements is
true; assume in turn, each statement to be true & the other
2 false and check whether the corresponding box contains the
maximum amount.
Let's assume that the statement on the Blue box is true.
Thus, the given 3 statements can be interpreted as
* Atmost one, a red box or a blue box contains Rs. 10000.
* Atmost one, a green box or a red box contains Rs. 25000.
* Both, a blue box and a green box contain Rs. 15000 each.
Going through all possible combinations, we can conclude that
Red Box : Rs. 10000 + Rs. 25000 = Rs. 35000
Green Box : Rs. 10000 + Rs. 15000 = Rs. 25000
Blue Box : Rs. 15000 + Rs. 25000 = Rs. 40000
You can test out for other two statements i.e. assuming Red
box statement true and then Green box statement true. In
both the cases, other statements will contradict the true
statement.
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