Twin brothers Luva and Kusha wrote the TCS NQT test. While Luva scored 45% and…
2025
Twin brothers Luva and Kusha wrote the TCS NQT test. While Luva scored 45% and got 4 marks below the cut-off. Kusha scored 60% and got 8 marks above cut-off and got selected for the interview. What was the maximum marks in the test?
Answer: B. 80 — Explanation Step-by-step solution: Let the maximum marks be M and the cut-off be x. Luva scored 45%: 0.45 × M = x − 4. Kusha scored 60%: 0.60 × M = x + 8.…
- A.
67
- B.
80
- C.
77
- D.
81
Attempted by 2296 students.
Show answer & explanation
Correct answer: B
Explanation
Step-by-step solution:
Let the maximum marks be M and the cut-off be x.
Luva scored 45%: 0.45 × M = x − 4.
Kusha scored 60%: 0.60 × M = x + 8.
Subtract the first equation from the second: (0.60 − 0.45)M = (x + 8) − (x − 4) ⇒ 0.15M = 12.
Solve for M: M = 12 ÷ 0.15 = 80.
Check the cut-off: x = 0.45 × 80 + 4 = 36 + 4 = 40. Then 0.60 × 80 = 48 = x + 8, so the values are consistent.
Answer: The maximum marks in the test is 80.