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If 42.42 = k(14 + m/50), where k and m are positive integers
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10 Aug 2018, 15:16
10 Aug 2018, 15:16
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4
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A
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E
Question Stats:
63% (02:11) correct
36% (02:58) wrong based on 22 sessions
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If 42.42=k(14+m50), 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
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Re: If 42.42 = k(14 + m/50), where k and m are positive integers
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10 Aug 2018, 16:47
10 Aug 2018, 16:47
Is E is the answer?
Re: If 42.42 = k(14 + m/50), where k and m are positive integers
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11 Aug 2018, 04:42
11 Aug 2018, 04:42
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Expert Reply
This does not look like an authentic GRE question!
We have: 42.42=k(14+m/50)
or 4242=100×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 2×3×m=42 or m=7.
Hence k=3 and m=7.
k+m=10
Hence option E is correct!
We have: 42.42=k(14+m/50)
or 4242=100×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 2×3×m=42 or m=7.
Hence k=3 and m=7.
k+m=10
Hence option E is correct!
