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M19-33

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M19-33 [#permalink]

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Official Solution:

How many multiples of 3 are there between 121 and 250 ?

A. 42
B. 43
C. 44
D. 45
E. 46

The first multiple of 3 in this range is 123, the last is 249. Altogether there are \(\frac{249 - 123}{3} + 1 = 43\) multiples of 3 between 121 and 250.

Answer: B
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Re: M19-33 [#permalink]

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New post 31 Aug 2017, 01:50
Confused on the part when to add 1 as the question does not mention both inclusive?

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Re: M19-33 [#permalink]

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New post 06 Sep 2017, 07:06
Bunuel wrote:
How many multiples of 3 are there between 121 and 250 ?

A. 42
B. 43
C. 44
D. 45
E. 46

First multiple of \(3\) between \(121\) and \(250\) is \(= 123\)

\(\frac{123}{3} = 41\)

Last multiple of \(3\) between \(121\) and \(250\) is \(= 249\)

\(\frac{249}{3} = 83\)

Therefore Total number of multiples of \(3\) between \(121\) and \(250\) is \(= (83 - 41) + 1 = 42 +1 = 43\)

Answer (B)...

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New post 07 Sep 2017, 19:47
Will this work as well?

250-121=129 then take 129/3 = 43

That's how I got my answer. Maybe I just got lucky!

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catooey wrote:
Will this work as well?

250-121=129 then take 129/3 = 43

That's how I got my answer. Maybe I just got lucky!


If it were: "How many multiples of 3 are there between 123 and 249, inclusive ?" the answer would still be 43, but with your approach you'd get (249-123)/3 = 42, so this is not error prone approach.


\(# \ of \ multiples \ of \ x \ in \ the \ range = \frac{Last \ multiple \ of \ x \ in \ the \ range \ - \ First \ multiple \ of \ x \ in \ the \ range}{x}+1\).

Check this: http://gmatclub.com/forum/totally-basic ... 20multiple
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Kudos [?]: 135541 [2], given: 12697

Re: M19-33   [#permalink] 07 Sep 2017, 20:46
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