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What is the range of a set consisting of the first 100 multi

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by BTGmoderatorDC » Wed Jul 03, 2019 7:53 pm

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What is the range of a set consisting of the first 100 multiples of 7 that are greater than 70?

A. 693
B. 700
C. 707
D. 777
E. 847

OA A

Source: GMAT Prep
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by Jay@ManhattanReview » Wed Jul 03, 2019 10:35 pm
BTGmoderatorDC wrote:What is the range of a set consisting of the first 100 multiples of 7 that are greater than 70?

A. 693
B. 700
C. 707
D. 777
E. 847

OA A

Source: GMAT Prep
A few first multiples of 7 that are greater than 70 are 77, 84, 98, ...; we can write them as 7*11; 7*12: 7*13.

So, the first multiple of 7 that is greater than 70 = 7*11;
and the 100th multiple of 7 that is greater than 70 = 7*110

Thus, range = 7*110 - 7*11 = 7(110 - 11) = 7*99 = 693

The correct answer: A

Hope this helps!

-Jay
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by Ian Stewart » Thu Jul 04, 2019 4:52 am
The range of one hundred consecutive multiples of 7 will always be the same no matter what the smallest value in your list is, so we can just find the range of 7, 14, 21..., 693, 700, which is 700-7 =693.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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