Study the pie-chart and answer the options: Break up (degree wise) of students in terms of specialization in different areas (A, B, C, D & E) in an MBA program. The total number of students specialising in A and B exceeds the total number of students specialising in C and D by x, which lies between:

Study the pie-chart and answer the options: Break up (degree wise) of students in terms of specialization in different areas (A, B, C, D & E) in an MBA program. The total number of students specialising in A and B exceeds the total number of students specialising in C and D by x, which lies between: Correct Answer 60 and 65

Given:

Total number of students = 2100

Difference between students in A and B and students in C and D = x

Calculation:

Angle of the students specialising in A and B = 61.2° + 75.6° = 136.8° 

Angle of the students specialising in C and D = 72° + 54° = 126° 

Angle difference = 136.8° – 126° = 10.8°

360° = 2100

⇒ 1° = 2100/360 = 210/36

⇒ 1° = 210/36

⇒ 10.8° = 210/36 × 10.8

⇒ 10.8° = 2268/36

⇒ 10.8° = 63

⇒ x = 63

∴ The total number of students specializing in A and B exceeds the total number of students specializing in C and D by x, which lies between 60 and 65.

Related Questions

Consider the 5 × 5 matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5 \\ 5&1&2&3&4 \\ 4&5&1&2&3 \\ 3&4&5&1&2 \\ 2&3&4&5&1 \end{array}} \right