Algebra
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Q.

In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and $m$ players score 5 points and the total number of points scored is 50, what is the least possible positive difference between $n$ and $m$?

 A.

5

 B.

3

 C.

2

 D.

1

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Solution:
Option(B) is correct

$2n+5m=50$

Possible values of $n$ and $m$ are (25,0),(10,6),(20,2),(15,4),(5,8)

Hence, least difference between 5 and 8 is 3

Edit: Thank you Steins for pointing out, changed the correct option choice to option B (3) from option C (2).


(4) Comment(s)


Steins
 ()

option B is correct

$2n+5m=50$

Possible values of $n$ and $m$ are (25,0),(10,6),(20,2),(15,4),(5,8)

Hence, least difference between 5 and 8 is 3


Deepak
 ()

Thank you for letting us know the anomaly. Corrected.


Parul
 ()

how do we came to know all possible values of $m$ and $n$..

is there any shortcut??

it is very time consumingSad



Dharmveer Kumar
 ()

Hello admin , the correct answer will be option B . Please rectify and update it.