1.

The adjoining pie chart gives the marks scored in an examination by a student inHindi, English, Mathematics, Social Science and Science. If the total marks obtainedby the students were 540, answer the following questions.(1) In which subject did the student score 105marks?(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 thestudent in Mathematics than in Hindi?(i) Examine whether the sum of the marks70°obtained in Social Science and Mathematicsis more than that in Science and Hindi.(Hint: Just study the central angles).ℙ ℍ ℕℝ ℕ ℙ ℙ ​

Answer»

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∘



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