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How many integers between 18 and 3399 are multiples of 17?
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25 Jun 2022, 04:05
25 Jun 2022, 04:05
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Question Stats:
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How many integers between \(18\) and \(3399\) are multiples of \(17\)?
\(A. 198\)
\(B. 199\)
\(C. 200\)
\(D. 201\)
\(E. 202\)
\(A. 198\)
\(B. 199\)
\(C. 200\)
\(D. 201\)
\(E. 202\)
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: How many integers between 18 and 3399 are multiples of 17?
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25 Jun 2022, 06:34
25 Jun 2022, 06:34
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Carcass wrote:
How many integers between \(18\) and \(3399\) are multiples of \(17\)?
\(A. 198\)
\(B. 199\)
\(C. 200\)
\(D. 201\)
\(E. 202\)
\(A. 198\)
\(B. 199\)
\(C. 200\)
\(D. 201\)
\(E. 202\)
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
One approach:
Let's list the multiples of 17 that are between 18 and 3399 :
34 = 2(17)
51 = 3(17)
68 = 4(17)
85 = 5(17)
.
.
.
3383 = 199(17)
So, the number of multiples of 17 is EQUAL to the number of integers from 2 to 199 inclusive
ASIDE: A nice rule says: the number of integers from x to y inclusive equals y - x + 1
So, the number of integers from 2 to 199 inclusive = 199 - 2 + 1 = 198
Answer: A
Cheers,
Brent
gmatclubot
Re: How many integers between 18 and 3399 are multiples of 17? [#permalink]
25 Jun 2022, 06:34
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