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Algebra Level 4

Which number is the odd one out ? $\boxed{84129, \quad 32418, \quad 47632, \quad 36119, \quad 67626, \quad 72927}$

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36119 32418 72927 47632 84129 67626

3 solutions

Sandeep Bhardwaj
Mar 27, 2015

$841=(29)^2$ $324=(18)^2$ $361=(19)^2$ $676=(26)^2$ $729=(27)^2$ $But \quad 476 \neq (32)^2$

First three digits of every number (except 47632) are the squares of the last two digits of the number.

Hence the odd one out is $\large \boxed{47632}$

enjoy!

But 36119, is the only one without a 2!! That can be it too.

Mehul Arora - 6 years, 2 months ago

Its clear that all the numbers are written beside their squares except 32

Muhammad Ahmad - 6 years, 2 months ago

It was still not a clear question, since this is not a sequence, and you just have to find "the odd one out" there can be many answers. I personally found another one, if you look in the comments.

Jason Myttas - 6 years, 2 months ago

I want to point out that although what I found might not be what the correct answer was but I did notice another pattern. In all the cases besides 36119, there is a 2 number sequence that is repeated in another one of the cases. For example, 29 can be found in the first and last case, 32 in the second and third, 41 in the first and second and 76 in the third and fifth. However, no two numbers in 36119 are repeated in the same order in another case, making it the odd one out.

Jason Myttas - 6 years, 2 months ago

Couldn't it be 72927 too?? It's the only palindromic number in the choices.

The answer varies, unfortunately. The answers depends on perception, and your answer cannot be absolute.

Akira Sonoda - 6 years, 1 month ago

But sir the 32418 is the only no. Which is not divisible by 9 . Hwnce it should be the odd one out.

Mukul Sharma - 6 years, 1 month ago

This is a poorly constructed problem. For example, if we look at the prime divisibility of the numbers 67626 is the only number divisible by 17.

Jeffrey Gordon - 6 years ago

FIITJEE makes me solve such problems. Not that tough.

Abhiram Rao - 5 years, 2 months ago

Vasudev Chandna
Mar 30, 2015

All the others are three digit numbers followed by their square root.

Take an example of 84129

√841= 29

Areeb Imran
Apr 6, 2015

84129-1/3=28042.66 32418-1/3=10805.66 similarly for others but if we proceed with this number then 47632-1/3=15877 the ans is not given in fraction therefore 15877 is the right ans.

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