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 number of coins in the box that is colored pink is 30, then which of the following can be the total number of coins in all the boxes that are colored white? |

✖ A. |
45 |

✔ B. |
37 |

✖ C. |
42 |

✖ D. |
Both (A) and (B) |

✖ E. |
(A), (B) and (C) |

**Solution:**

Option(**B**) 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 |

We already know that the number of coins in 5 boxes that are colored Black are:

12, 15, 20, 25 and 30.

Given that the number of coins in the box that is colored Pink is 30.

Total number of boxes with Mr. Zero that are colored white is 2.

The total number of coins in the boxes that are colored White can be:

$(25 + 12 = 37)$,

$(25 + 15 = 40)$ and $(12 + 15 = 27)$

Hence, **option (B)** is the correct choice.

**Mathew**

*()
*

**Bineet Kumar**

*()
*

there is no possibility of number of coins being (12+15) i.e 27. since number of boxes having 25 coins is 3. and the pink box has 30 coins. so the box containing 25 coins must be the ones colored as black, white and yellow. so 25 must be included in the white boxes. so possible options are 40 and 37.

as per the question there are 3 no. of boxes with 15 coins , 1box with 12, 1 box with 20, 3 box with 25, 2 boxwith 30 coins each. black boz will use all the five varities of coins as they cant be duplicated. which leaves us with 15,20,25 & 30,. 30 is used up in black and pink , which leaves us with 15,20,25. 20 & 12 is used up in black which further leaves us with 15 and 25 . so the answer should be 25+15=40. please correct me if i am wrong