Data Interpretation Discussion

**Common Information**

Answer the questions on the basis of the information given below.

The $2006$ batch of a premier B- school in India fared poorly in the three courses namely Statistics, Economics and Business Maths in their first semester examinations.

The batch was divided into four sections $A$, $B$, $C$ and $D$ and every student in the batch wrote the examination on each of the three mentioned courses.

The following bar graph provides information about the number of students who failed in each of the courses in the four sections.

It also provides information about the total number of students and the number of students who failed in two courses in each of the four sections. No student failed in all the three courses.

Q. |
How many students in the $2006$ batch passed in all the three courses? |

✖ A. |
58 |

✔ B. |
61 |

✖ C. |
62 |

✖ D. |
64 |

✖ E. |
67 |

**Solution:**

Option(**B**) is correct

In **Section A:**

Number of such students:

$= 115 – (56 + 45 + 60 – 49) = 3$

In **Section B:**

Number of such students:

$= 99 – (48 + 23 + 39 – 26) = 15$

In **Section C:**

Number of such students:

$= 139 – (28 + 61 + 56 – 43) = 37$

In **Section D:**

Number of such students:

$= 65 – (19 + 24 + 37 – 21) = 6$

Therefore, total number of students that have passed in all the three courses:

$= 3 + 15 + 37 + 6$

$=61$

**Snehal**

*()
*

There is a error.....The students failing in 2 subjects must be subtracted twice.

By not doing so students who may have failed in more than 1 subject are being counted twice