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# The number of positive multiples of 49 less than 2000

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Senior Manager
Joined: 20 May 2014
Posts: 282
Followers: 18

Kudos [?]: 50 [0], given: 220

The number of positive multiples of 49 less than 2000 [#permalink]  19 Oct 2017, 22:35
00:00

Question Stats:

61% (00:23) correct 38% (01:18) wrong based on 21 sessions
 Quantity A Quantity B The number of positive multiples of 49 less than 2000 The number of positive multiples of 50 less than or equal to 2000

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.
[Reveal] Spoiler: OA
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 344 [1] , given: 66

Re: The number of positive multiples of 49 less than 2000 [#permalink]  20 Oct 2017, 06:23
1
KUDOS
The number of positive multiples of 49 less than 2000 can be computed as 1960, the highest multiple, minus 49, the lowest, divided by 49, plus 1. In formulas $$\frac{(1960-49)}{49}+1 = 40$$. The same rationale works for multiples of 50 less or equal than 2000, i.e. $$\frac{(2000-50)}{50}+1 = 40$$.

Intern
Joined: 24 Feb 2018
Posts: 14
Followers: 0

Kudos [?]: 5 [0], given: 6

Re: The number of positive multiples of 49 less than 2000 [#permalink]  23 Mar 2019, 16:57
Bunuel wrote:
 Quantity A Quantity B The number of positive multiples of 49 less than 2000 The number of positive multiples of 50 less than or equal to 2000

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.

Keep things simple when working with multiples -
if you divide 2000 by 49 the result is 40.xxx. Because the last multiple of 49 is to be less than 2000 the result is 40 for A

for B, follow the same 2000/50 = 40 exact. The question says less than equal to for B. Hence the value for B is also 40.
So, A = 40, B = 40.......ans- C
Re: The number of positive multiples of 49 less than 2000   [#permalink] 23 Mar 2019, 16:57
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