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ExamsIBPS POQuantitative Aptitude

A diamond weighing 150 grams is cut into three pieces. The weights of the first and second pieces are in the ratio $8:5$. If the third piece weighs 20 grams, find the weight of the first piece.

  1. 80 grams
  2. 90 grams
  3. 100 grams
  4. 85 grams

Correct answer: 80 grams

Solution

The total weight of the first two pieces is $150-20=130$ grams. Since their ratio is $8:5$, the first piece is $\frac{8}{8+5}\times 130=80$ grams.

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