Data Interpretation Discussion

**Common Information**

In a UN summit, one representative from each of the 15 countries are participating. The representatives at the summit speak seven different languages namely Hindi, English, Spanish, Portuguese, German, French and Arabic.

Three representatives speak two languages each; two representatives speak three languages each; five representatives speak five languages each; one representative speaks one language and four representatives speak four languages each.

The following bar graph provides information about the number of representatives that speak a particular language.

The graph provides information about only three languages but does not specify them.

Q. |
If minimum possible number of representatives that speak a particular language is 7, then what is the number of languages that are spoken by 7 representatives each? |

✖ A. |
1 |

✖ B. |
2 |

✖ C. |
3 |

✖ D. |
4 |

✔ E. |
5 |

**Solution:**

Option(**E**) is correct

It is given that out of the 15 representatives, three representatives speak two languages each; two representatives speak three languages each; five representatives speak five languages each; one representative speaks one language and four representatives speak four languages each.

Let the number of representatives that speak Language 1, Language 2, Language 3, Language 4, Language 5, Language 6 and Language 7 be $A, B, C, D, E, F$ and $G$

$A + B + C + D + E + F + G $:

$= (3×2) +(2×3)+(5×5)+(1×1)+(4×4)$

$=6+ 6+25+1+16=54$

$A + B + C = 9 + 7 + 10$

$= 26$

Therefore,

$D + E + F + G$:

$= 54 – 26= 28$

It is given that the minimum possible number of representatives that speak a particular language is 7.

So, for each of the languages other than the language 1, language 2 and language 3, the number of representatives who speak it cannot be less than 7.

Since, there are four other languages and the aggregate number of representatives remaining is 28, therefore the other four languages are spoken by $28/4 =7$ representatives each.

So, the number of languages that are spoken by seven representatives each is **5**

**Shankar**

*()
*

There is language 2(given) along with language $D$, $E$, $F$ and $G$ which is spoken by 7 representatives.

This makes it total of $\textbf{5}$ languages which are spoken by 7 representatives and thus the final answer is $\textbf{5}$.

Explain me the last line..how did the no of languages spoken by 7 representatives become 5