In a Class Vidhya ranks 7th from the top, Divya is 7 ranks ahead of Medha and 3 ranks behind Vidhya
Sushma who is 4th from the bottom, is 32 ranks behind Medha. How many students are there is the class ?
(A) 52 (B) 49 (C) 50 (D) None of these
What’s given in the problem Vidya’s rank from the top: (7) Divya’s rank is (7) ranks ahead of Medha. Divya’s rank is (3) ranks behind Vidya. Sushma’s rank from the bottom: (4) Sushma’s rank is (32) ranks behind Medha.
How to solve
Calculate Medha’s rank from the top, then calculate Sushma’s rank from the top, and finally calculate the total number of students.
Step 1 . Calculate Divya’s rank from the top. Divya is (3) ranks behind Vidya, who is ranked 7th. Divya’s rank is (7+3=10).
Step 2 . Calculate Medha’s rank from the top. Divya is (7) ranks ahead of Medha. Medha’s rank is (10+7=17).
Step 3 . Calculate Sushma’s rank from the top. Sushma is (32) ranks behind Medha. Sushma’s rank is (17+32=49).
Step 4 . Calculate the total number of students. Sushma is 4th from the bottom and 49th from the top. Total number of students is (49+4-1=52).
Solution The total number of students in the class is
(52).