Ratio of Distribution of Chocolates

CMAT 2025 · Quantitative Techniques & Data Interpretation · Easy · Quantitative Aptitude

Reema had 'n' chocolates. She distributed them among 4 children in the ratio of 12:13:15:18\frac{1}{2} : \frac{1}{3} : \frac{1}{5} : \frac{1}{8}. If she gave them each one a complete chocolate, the minimum number of chocolates she had distributed.

  1. A.

    120

  2. B.

    139

  3. C.

    240

  4. D.

    278

Answer

B

Explanation

To clear fractions, find LCM of denominators (2,3,5,8)=120(2, 3, 5, 8) = 120.

Ratio becomes: 120×12:120×13:120×15:120×18=60:40:24:15120 \times \frac{1}{2} : 120 \times \frac{1}{3} : 120 \times \frac{1}{5} : 120 \times \frac{1}{8} = 60 : 40 : 24 : 15

Sum of ratio terms = 60+40+24+15=13960 + 40 + 24 + 15 = 139.

Minimum number of chocolates distributed = 139139.

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