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# If the average (arithmetic mean) of 7 positive temperatures is x degre

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If the average (arithmetic mean) of 7 positive temperatures is x degre  [#permalink]

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18 Sep 2019, 00:11
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Difficulty:

55% (hard)

Question Stats:

57% (02:28) correct 43% (01:59) wrong based on 30 sessions

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If the average (arithmetic mean) of 7 positive temperatures is $$x$$ degrees Celsius, then the sum of the 4 greatest of these temperatures, in degrees Celsius, could be which of the following?

A. $$\frac{4x}{7}$$

B. $$\frac{8x}{7}$$

C. $$\frac{7x}{4}$$

D. $$5x$$

E. $$8x$$

Source: McGraw-Hill's GMAT (1-19)

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Re: If the average (arithmetic mean) of 7 positive temperatures is x degre  [#permalink]

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18 Sep 2019, 00:40
If the average (arithmetic mean) of 7 positive temperatures is $$x$$ degrees Celsius, then the sum of the 4 greatest of these temperatures, in degrees Celsius, could be which of the following?

A. $$\frac{4x}{7}$$

B. $$\frac{8x}{7}$$

C. $$\frac{7x}{4}$$

D. $$5x$$

E. $$8x$$

Source: McGraw-Hill's GMAT (1-19)

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Re: If the average (arithmetic mean) of 7 positive temperatures is x degre  [#permalink]

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23 Sep 2019, 18:29
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If the average (arithmetic mean) of 7 positive temperatures is $$x$$ degrees Celsius, then the sum of the 4 greatest of these temperatures, in degrees Celsius, could be which of the following?

A. $$\frac{4x}{7}$$

B. $$\frac{8x}{7}$$

C. $$\frac{7x}{4}$$

D. $$5x$$

E. $$8x$$

Source: McGraw-Hill's GMAT (1-19)

If the temperatures are all the same, i.e., each is x degrees Celsisus, then the sum of the 4 greatest temperatures is 4x. If the temperatures are not all the same, then the sum of the 4 greatest temperatures is at least 4x. Since the sum of all 7 temperatures is 7x, we see that the sum of the 4 greatest temperatures is between 4x and 7x. Since the only quantity in the given choices that fits in this range is 5x, then 5x could be the sum of the 4 greatest temperatures.

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Re: If the average (arithmetic mean) of 7 positive temperatures is x degre   [#permalink] 23 Sep 2019, 18:29
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