Question

The adjoining pie chart gives the marks scored in an examination by a student in
Hindi, English, Mathematics, Social Science and Science. If the total marks obtained
by the students were 540, answer the following questions.
(1) In which subject did the student score 105
marks?
(Hint: for 540 marks, the central angle = 360°.
So, for 105 marks, what is the central angle?)
90°
(ii) How many more marks were obtained by the
student in Mathematics than in Hindi?
(i) Examine whether the sum of the marks
70°
obtained in Social Science and Mathematics
is more than that in Science and Hindi.
(Hint: Just study the central angles).
ℙ ℍ ℕℝ ℕ ℙ ℙ ​

Answer 1

Step-by-step explanation:

i) 

Total marks obtained =540

540∘ represents 360∘

∴ The central angle for 105 marks:

=540105×360∘ =70∘

Hindi's central angle is 70∘

∴ Student scored 105 marks in Hindi

(ii) 

Difference between central angles of Maths and Hindi

⇒90o−70o⇒20o

Marks for 20∘ central angles =36020×540∘=30∘

∴30 more marks were obtained by student in maths than in hindi

(iii) 

Sum of central angles of social science and maths

=65∘+90∘=155∘

Sum of central angles of Science and Hindi =80∘+70∘=150∘