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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. If 42.42 = k(14 + m/50), where k and m are positive integers  Question banks Downloads My Bookmarks Reviews Important topics
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TAGS: Intern Joined: 10 Jun 2018
Posts: 32
Followers: 0

Kudos [?]: 16  , given: 4

If 42.42 = k(14 + m/50), where k and m are positive integers [#permalink]
1
KUDOS 00:00

Question Stats: 60% (02:39) correct 40% (03:00) wrong based on 10 sessions
If $$42.42 = k(14 + \frac{m}{50})$$, where k and m are positive integers and $$m < 50$$, then what is the value of $$k + m$$ ?

(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
[Reveal] Spoiler: OA
Intern Joined: 07 Jul 2018
Posts: 9
Followers: 0

Kudos [?]: 5 , given: 1

Re: If 42.42 = k(14 + m/50), where k and m are positive integers [#permalink] GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1899  , given: 397

Re: If 42.42 = k(14 + m/50), where k and m are positive integers [#permalink]
1
KUDOS
Expert's post
This does not look like an authentic GRE question!

We have: $$42.42 = k(14 + m/50)$$

or $$4242 = 100 \times k(14 + m/50)$$

or $$4242 = 1400k + 2km$$

Clearly we have 1 equation and 2 variables so it is unsolvable but it is also given that k and m are integers. The only option left is plugging.

This is where it gets tricky see k and m are integers less than 50 so the term 2km will be smaller than the term 1400k. So ideally we want to get close 4242 with a suitable value of k.

Choosing k=3.

$$1400*k=1400*3=4200$$

Now remaining 42 needs to come from $$2km$$ or $$2km=42$$ or $$2\times 3 \times m=42$$ or $$m=7$$.

Hence k=3 and m=7.

$$k+m=10$$

Hence option E is correct!
_________________

Sandy
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Try our free Online GRE Test Re: If 42.42 = k(14 + m/50), where k and m are positive integers   [#permalink] 11 Aug 2018, 04:42
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