Data Interpretation Discussion

**Common Information**

There are ten boxes namely Box 1, Box 2, Box 3,….. Box 9 and Box 10 with Mr. Zero. Each of these ten boxes is colored with one out of the four colors namely Black, White, Yellow and Pink. The number of coins in each of these mentioned ten boxes is one of the five numbers 12, 15, 20, 25 and 30.The following bar – graphs provides information about the number of boxes that are colored Black, White, Yellow and Pink and also about the number of boxes that have different number of coins.

No two boxes that are colored with the same color have equal number of coins.

Q. |
If the total number of coins in the boxes that are colored yellow is the maximum possible and the total number coins in all the boxes is least, then what is the number of coins in the box that is colored pink? |

✖ A. |
25 |

✖ B. |
30 |

✖ C. |
15 |

✔ D. |
12 |

✖ E. |
Cannot be determined |

**Solution:**

Option(**D**) is correct

The number of boxes that are colored Pink, Yellow, White and Black is 1, 2, 2 and 5 respectively.

It is also given that no two boxes that are colored with the same color have equal number of coins.

It is also given that the number of coins in each of the ten boxes is 12, 15, 20, 25 or 30.

Also, since there are five boxes that are colored, the number of coins in the boxes are 12, 15, 20, 25 and 30.

Number of Coins | Number of Boxes |
---|---|

12 |
1 - 3 |

15 |
1 - 3 |

20 |
1 |

25 |
3 |

30 |
2 |

Given that the total number of coins in the boxes that are colored Yellow is maximum possible, which means that, the total number of coins in the boxes that are colored Yellow is:

$25 + 30 = 55$

Also, since the total number of coins in all the boxes is least, which means that the number of boxes in which there are 15 coins and 12 coins is 1 and 3 respectively.

So, the only possibility that is left is the box that is colored Pink has 12 coins and the two boxes that are colored White have 25 and **12** coins.