In a class of 40 students, every student is ranked in Hindi and in English, with no two students sharing a rank in either subject. Ishita is 9th from the top in Hindi and 14th from the bottom in English. Mehul is 6 ranks below Ishita in Hindi and 8 ranks above Ishita in English.
Which of the following statements are correct?
(A) Mehul’s Hindi rank from the bottom is 26th.
(B) Mehul’s English rank from the bottom is 22nd.
(C) Ishita’s English rank from the top is 26th.
(D) In English, 21 students are ranked below Mehul.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A), (B) and (D) only
Turn every rank into a rank from the top first, using rank from the top = 40 − rank from the bottom + 1. A rank below means a larger number; a rank above means a smaller number.
Ishita in Hindi: 9th from the top; Mehul is 6 ranks below: \(9+6=15\)th from the top
Ishita in English: \(40-14+1=27\)th from the top; Mehul is 8 ranks above: \(27-8=19\)th from the top
Checking the statements
(A) Mehul’s Hindi rank from the bottom is 26th. — Correct. Mehul is 15th from the top in Hindi, so from the bottom he is \(40-15+1=26\)th.
(B) Mehul’s English rank from the bottom is 22nd. — Correct. Mehul is 19th from the top in English, so from the bottom he is \(40-19+1=22\)nd.
(C) Ishita’s English rank from the top is 26th. — Incorrect. Being 14th from the bottom of 40, Ishita is \(40-14+1=27\)th from the top, not 26th.
(D) In English, 21 students are ranked below Mehul. — Correct. Mehul is 19th from the top, so the students below him are \(40-19=21\).