Aptitude Discussion

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 |

**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).

**Steins**

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Thank you for letting us know the anomaly. Corrected.

**Parul**

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

is there any shortcut??

it is very time consuming

**Dharmveer Kumar**

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

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