Economist GMAT
How many multiples of 7 are there between 700 and 1000, inclusive?
A. 43
B. 42
C. 22
D. 21
E. 20
OA A
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How many multiples of 7 are there between 700 and 1000, inclusive?
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1000/7 ≈ 142
Thus:
Greatest multiple of 7 in the set = 142*7
Since the smallest value = 100*7, while the greatest value = 142*7,
the count is equal to the number of integers between 100 and 142, inclusive.
For any set of consecutive integers:
TOTAL NUMBER OF INTEGERS = BIGGEST - SMALLEST + 1
Thus we get:
142 - 100 + 1 = 43
The correct answer is A.
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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