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We have an equal arms two pan balance and need
to weigh objects with integral weights in the range 1
to 40 kilo grams. We have a set of standard weights
and can place the weights in any pan. (i.e) some
weights can be in a pan with objects and some
weights can be in the other pan. The minimum number
of standard weights required is:
a) 4 b) 5
c) 6 d) 10
Read Solution (Total 10)
-
- option a
that is 4
and the required standard weights are 1, 3, 9, 27
- 9 years agoHelpfull: Yes(13) No(0)
- ans=4, Three std weights of 2 kg each and one std wt. of 5 kg
We just need to factorize the magnitude of the highest weight, i.e., 40.
40 = 2x2x2x5
to weigh 1kg → 2x2 kg in one pan and 5 on the other
to weigh 3 kgs → 2 kg in one pan and 5 kg on the other, and so on. - 9 years agoHelpfull: Yes(6) No(1)
- ans is 6
1,2,4,8,16,32
- 9 years agoHelpfull: Yes(2) No(2)
- 6( 4 1kg weight and 1 500 gm and 1 250 gm )
- 9 years agoHelpfull: Yes(1) No(4)
- Answer is option (a)
try by keeping either of the weights on the two pans (1,3,9, and 27 )
such that u get all the weights measured betweeen 1-40
eg: for measuring 15 kg i would place 27 kg on one pan and (9,3=12kg) on the other such that the net weight=27-9-3=15kg - 9 years agoHelpfull: Yes(1) No(0)
- i am confused which one is correct
i think option c - 9 years agoHelpfull: Yes(0) No(1)
- Plz explain Vinit how u got the answer? Thanks in advance.
- 9 years agoHelpfull: Yes(0) No(0)
- batao kassa kiya hai .Please
- 9 years agoHelpfull: Yes(0) No(0)
- Ans is a) 4 , and standard weight required are 1,2,5,10 kg weight each
- 9 years agoHelpfull: Yes(0) No(0)
- 1,2,5,10,20,50
- 9 years agoHelpfull: Yes(0) No(0)
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