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There are eight bags of rice looking alike, seven of which have equal weight and one is slightly
heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number
of weighings required to identify the heavier bag is
heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number
of weighings required to identify the heavier bag is
- a)2
- b)3
- c)4
- d)8
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
There are eight bags of rice looking alike, seven of which have equal ...
2 only . first three bags are placed on each side . if they are balance so we can find easily the heavier weight in the next attempt. if they are not balanced the take the three bags on heavier side place each bag on either side of the balance. so we can easily find the heavier weight .
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Community Answer
There are eight bags of rice looking alike, seven of which have equal ...
Let 8 bags be A, B, C, D, E, F, G & H.
Step 1 :- Take A,B&C on one weighing plate and D,E&F on another plate.
Step 2 :- There are 3 cases in this situation :-
Case (a) :- If A,B&C carrying plate goes down weigh A&D and B&E. If A&D carrying plate goes down then A is the heaviest bag, if B&E carrying plate goes down then B is the heaviest bag & if both the plates are at equal level then C is the heaviest bag.
Case (b) :- If D,E&F carrying plate goes down weigh D&A and E&B. If D&A carrying plate goes down then D is the heaviest bag, if E&B carrying plate goes down then E is the heaviest bag & if both the plates are at equal level then F is the heaviest bag.
Case (c) :- If A,B&C and D,E&F carrying plates are at equal level then weigh G and H. If G carrying plate goes down then G is the heaviest bag and if H carrying plate goes down then H is the heaviest bag.
Hope this will help you! :)
Step 1 :- Take A,B&C on one weighing plate and D,E&F on another plate.
Step 2 :- There are 3 cases in this situation :-
Case (a) :- If A,B&C carrying plate goes down weigh A&D and B&E. If A&D carrying plate goes down then A is the heaviest bag, if B&E carrying plate goes down then B is the heaviest bag & if both the plates are at equal level then C is the heaviest bag.
Case (b) :- If D,E&F carrying plate goes down weigh D&A and E&B. If D&A carrying plate goes down then D is the heaviest bag, if E&B carrying plate goes down then E is the heaviest bag & if both the plates are at equal level then F is the heaviest bag.
Case (c) :- If A,B&C and D,E&F carrying plates are at equal level then weigh G and H. If G carrying plate goes down then G is the heaviest bag and if H carrying plate goes down then H is the heaviest bag.
Hope this will help you! :)
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