DI Quiz for SBI Clerk Pre, IBPS Clerk Pre, LIC Assistant, RBI Assistant with PDF at Smartkeeda

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Directions : Study the following table carefully to answer these questions.

Percentage of marks obtained by six students in six different subjects
 
Subject Student
Psychology
(150)
Sociology
(120)
Economics
(80)
Philosophy
(75)
Statistics
(125)
Geology
(60)
A 72 65 85 65 88 72
B 68 58 74 70 78 54
C 63 73 69 57 68 65
D 56 65 77 61 75 67
E 78 55 82 76 59 74
F 84 70 64 78 82 80

Note : Figure written in bracket under each subject indicate the maximum marks allotted for that subject.
1
What is the difference between the total marks obtained by A in Psychology and Statistics together and the total marks obtained by F in these two subjects together ?
» Explain it
C
Total marks obtained by A in Psychology and Statistics together

=   ( 72 × 150  +  88 × 125 )  
100 100

= 108 + 110 = 218

Total marks obtained by F in these two subjects

=    ( 84 × 150  +  82 × 125 )   
100 100

= 126 + 102.5 = 228.5

∴     Difference = (228.5 – 218) = 10.5

Hence, option C is correct.
2
What is the average percentage of marks obtained by six students in Sociology ?
» Explain it
D
Average % of marks obtained by six students in Sociology

=    65 + 58 + 73 + 65 + 55 + 70  =  386  =  64 1
6 6 3

Hence, option D is correct.

3
What is the average marks obtained by the six students in Philosophy out of 75?
» Explain it
B
Average marks obtained by 6 students in Philosophy out of 75

=    ( 65 + 70 + 57 + 61 + 76 + 78  ×  75 )
6 100

=    ( 407  ×  75 )    = 50.875
6 100

Hence, option B is correct.

4
What is the total marks obtained by ‘A’ in Psychology, Economics and Geology together ?
» Explain it
A
Reqd. answer =  ( 72 × 150  +  85 × 80  +  72 × 60 )
100 100 100

= 108 + 68 + 43.2 = 219.2

Hence, option A is correct.
5
Approximately what is the overall percentage of marks obtained by ‘C’ in all the subjects together ?
» Explain it
E
Percentage of marks obtained by C in all the subjects together

(63% of 150) + (73% of 120) + ... + (65% of 60)  × 100
150 + 120 + ... + 60

=    404  × 100  ≈  66%
610

Hence, option E is correct.

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