difficult inequality question

I think the answer should be B.

p^5 + k^5 = 250

if p>0, the greatest value of k can be 3.

3^5 = 243

Therefore, answer should be between 1.5 and 3.

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Shrinidhi: Junior | Next Rank: 30 Posts; Posts: 18; Joined: Sat Aug 02, 2008 12:39 pm

by Shrinidhi » Wed Sep 10, 2008 6:02 pm

parallel_chase wrote:I think the answer should be B.

p^5 + k^5 = 250

if p>0, the greatest value of k can be 3.

3^5 = 243

Therefore, answer should be between 1.5 and 3.

I think the answer should be C.
The greatest value of k can be slightly above 3 also. So it should be C

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bharathaitha: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Thu May 15, 2008 12:51 am; Thanked: 1 times

by bharathaitha » Thu Sep 11, 2008 2:12 am

Yeah i too go with the option C.

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mals24: Legendary Member; Posts: 683; Joined: Tue Jul 22, 2008 1:58 pm; Location: Dubai; Thanked: 73 times; Followed by:2 members

by mals24 » Thu Sep 11, 2008 4:00 am

@ Shrinidhi

I too agree with C i think the greatest value of K should be close to 3.01. But my doubt is can you explain how you got to this value because i had to use the calculator to solve this question.

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GG04: Senior | Next Rank: 100 Posts; Posts: 51; Joined: Fri Sep 05, 2008 11:06 am; Thanked: 1 times

by GG04 » Thu Sep 11, 2008 7:31 am

Can someone post the right answer from the source?
I think it is B.

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pseudononymous: Senior | Next Rank: 100 Posts; Posts: 33; Joined: Fri Sep 05, 2008 6:40 am; Thanked: 1 times

by pseudononymous » Thu Sep 11, 2008 8:54 am

If p=.0000000000001 then k^5 = 249.99
Now you just have to plug in numbers for k
2 * 2 * 2 * 2 * 2 = 32
3 * 3 * 3 * 3 * 3 = 243
It's going to be slightly larger than 3, hence C (between 3 and 4.5)