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Class 12 students scoring (i) 95% and above (total 6000) and (ii) 90–95% (total 10000) from six Delhi schools A–F, with Girls:Boys ratio.

School95%+ (%)Girls:Boys
A13%11:5
B18%5:7
C17%3:5
D8%7:1
E24%5:4
F20%5:3
School90–95% (%)Girls:Boys
A16%3:2
B6%1:4
C10%5:3
D28%2:3
E21%9:5
F19%3:4

The average number of boys who scored between 90-95% marks from the schools A to E together is:

A746
B718
C745
D785 ✓ Correct
Correct answer: (D) 785
Explanation

The average number of such boys from schools A to E is 785.

Boys of A scoring 90-95% are 16 percent of 10000 times 2 over 5, that is 640.

Boys of B are 6 percent times 4 over 5, that is 480, and boys of C are 10 percent times 3 over 8, that is 375.

Boys of D are 28 percent times 3 over 5, that is 1680.

Boys of E are 21 percent times 5 over 14, that is 750.

The sum 3925 divided by 5 schools gives the average 785.

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