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Source: Official Guide for GMAT Review 2016 Data Sufficiency ; #82

1

What is the total number of coins that

What is the total number of coins that Bert and Claire have?

1 Explanation

1

Danny Watts Jr

1: Statement can be re-written as B = 1.5C. Total number of coins can be thought of as B + C = T (or 2.5C = T). However, this statement alone provides no hint of the total combined number of coins. INSUFFICIENT.

2: Gives us a range of values (21-28). INSUFFICIENT

Combined: We need to find an integer to represent the total number of coins. Our given range is 21 < 2.5C < 28. If divided by 2.5, we get the range of ~8.4 < C < ~11.2, so our whole number options for C can be 9, 10, or 11. Only one of those options (10) can result in an integer when multiplied by 1.5, so this combination is SUFFICIENT to find the total number of coins (C).

Dec 3, 2017 • Comment

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Section 6.3 Data Sufficiency

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