Given :- There were 90 students in the class. First 30 ranks were got by girls, out of 40 girls. Only 15 students did not get any rank. Harish took 42nd rank from BOTTOM, then what will be the rank of Harish from top of the class ?

A) 34th

B) 35th

C) 36th

D) 37th

Solution :-

we have,

→ Total students in class = 90

→ Students who did not get any rank = 15

So,

→ Students who got ranks = 90 - 15 = 75 students .

Now, we know that,

• Position of any STUDENT from top/bottom = (Total students + 1) - Position of that student from bottom/top .

we have ,

• Harish Position from bottom = 42
• Total Students who got ranks = 75

THEREFORE,

→ Position of Harish from top = (Total Students who got ranks + 1) - Harish Position from bottom

→ Position of Harish from top = (75 + 1) - 42

→ Position of Harish from top = 76 - 42

→ Position of Harish from top = 34 (Option A) (Ans.)

Hence, Rank of Harish from top of the class is 34 .

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