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Three chocolate bars weighing 600 grams, 420 grams and 780 grams were cut into small pieces of uniform weight. If 2 such bars are given to one person,
Question

Three chocolate bars weighing 600 grams, 420 grams and 780 grams were cut into small pieces of uniform weight. If 2 such bars are given to one person, then what will be the minimum number of such persons between whom all the bars can be distributed?

A.

10

B.

30

C.

15

D.

60

Correct option is C

Given
Weights: 600g, 420g, 780g

Solution
To have uniform weight pieces, we find the HCF of 600, 420, 780.
HCF = 60g (Largest common divisor)
Total weight = 600 + 420 + 780 = 1800g
Number of pieces = 180060\frac{1800}{60}​ = 30 pieces.
Each person gets 2 pieces.
Number of persons = 302=15\frac{30}{2} = 15​​

Final Answer
So the correct answer is (c)

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