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Problem Solving (PS) | Re: If a and b are positive integers less than 50, and the ratio of a and

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shipra2205 wrote:

Can you explain why one answer works and the other doesnt ? You kind of lost me there in the end.
shwetakoshija wrote:
a:b = 3:7
Let a = 3k and b= 7k.
Then, b-a = 4k.
Hence, our answer should be a multiple of 4. We can clearly eliminate statement I.

Now, we will check II and III to make sure both numbers are less than 50.

II. If 24 = 4k, then k=6.
Hence, a=3k=18 and b=7k=42. WORKS

III. If 36 = 4k, then k=9.
Then, a=3k=27 but b=7k=63. FAILS

ANSWER: (B)


a and b are required to be less than 50, but in option III, b turns out be 63, which is > 50.

Statistics : Posted by chetan2u • on 25 Dec 2019, 23:00 • Replies 4 • Views 1435



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