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Help me to solve this Quantitative Problem (0 viewing)

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#4892

vinosel (User)

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Help me to solve this Quantitative Problem 10 Months, 1 Week ago	Karma: 0
The jewels in a crown consist of diamonds, rubies and emeralds. If the ratio of diamonds to rubies is 5/6 and the ratio of rubies to emeralds is 8/3, what is the least number of jewels that could be in the tiara? Answer choices: (a) 16, (b) 22, (c) 40, (d) 53, (e) 67. This question has appeared in ETS Powerprep software.

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#4893

alankar (Moderator)

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Re:Help me to solve this Quantitative Problem 10 Months, 1 Week ago	Karma: 3
The ratio of diamonds to rubies is 5/6 = 5:6 = 5/6 : 1 The ratio of rubies to emeralds is 8/3 = 8:3 = 1:3/8 Therefore, the ratio of diamonds to rubies to emeralds = 5/6 : 1 : 3/8 LCM of 6,1 and 8 is 24. So, in order to get rid of denominators, we get The ratio of diamonds to rubies to emeralds = 20:24:9 Hence, the least number of jewels = 20+24+9 = 53 Hence, option d.