1. What are the average marks obtained by all
students together in Hindi? (Rounded off two digits after decimal).
(i) 42.83
(ii) 44.62 (iii)
41.54 (iv) 43.28 (v) None of these
Detailed Explanation: Let the average marks be 85.
84 -1
86 +1
88 +3
90 +5
86 +1
80
-5
---------------------------
= +4
So, deviations of the marks from are respectively
-1, +1, +3, +5, +1 and -5. Sum of all these deviations is +4, that should be
distributed among the six scores, it becomes 2/3 = 0.67. So, the average
percentage is 85.67% of 50,
Which is equivalent to 50% of 85.67 = half of 85.67=
42.83 Ans.
2. What are the total marks obtained by Tanya in all
the subjects together?
(i) 418
(ii) 412 (iii)
408 (iv) 402 (v) None of these
Solution: (ii) Total marks obtained by Tanya = 60%
of 150 + 84% of 100 + 80% of 50 + 65% of 150 + 50% of 125 + 76% of 50 = 90 + 84
+ 40 + 97.5 + 62.5 + 38 = 412 Ans.
3. If to pass in the exam, the minimum marks
required in math are 95 and in Social Studies are 85, how many students will
pass?
(i) One
(ii) Three (iii) Two (iv)
Four (v) None of these
Solution: 95 in mathematics is 63.33% and 85 in
Social Studies is 68%. Only Ravi and Kirti get the minimum qualifying marks in
these subjects. So, (iii) two is the answer.
4. What is Riya’s overall percentage of marks in all
subjects together?
(i) 75.6
(ii) 68.3 (iii)
72.8 (iv) 71.2 (v) None of these
Solution: Total marks obtained by Riya = 80% of 150
+ 53% of 100 + 86% of 50 + 60% of 150 + 80% of 125 + 78% of 50 = 120 + 53 + 43
+ 90 + 100 + 39 = 445, where as the total marks is 625, which is 71.2%. So, (iv)
71.2 is the Answer.
5. Which student has scored the highest marks in all
subjects together?
(i) Prasad
(ii) Riya (iii) Ravi (iv) Amit (v) None of these
Solution: By visual inspection, we can easily find
that Ravi, Kirti and Prasad are in the race of getting the maximum marks. But
here, very close fight and after visual calculation, Kirti is just ahead of
Ravi and Prasad. So, Kirti, that is, (v) None of these; is the answer.
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