Multiple choice

45 is the average marks obtained by 30 students of a class. On rechecking, two errors were identified. On correction, one student obtained 45 more marks while other obtained 15 less marks. What is the average of corrected marks? एक कक्षा के 30 छात्रों के औसत अंक 45 हैं। पुनः निरीक्षण करने पर, दो त्रुटियाँ प्राप्त की गयी। सही करने पर, एक छात्र 45 अंक अधिक प्राप्त करता है जबकि दूसरा छात्र 15 अंक कम प्राप्त करता है। सही अंकों का औसत क्या है ?

  1. 45

  2. 44

  3. 47

  4. 46

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The original total marks for 30 students is 30 × 45 = 1350. After correction, one student gains 45 marks and another loses 15 marks, resulting in a net change of +30 marks. The new total is 1350 + 30 = 1380. The corrected average is 1380 ÷ 30 = 46. Options A (45), B (44), and C (47) are incorrect because they don't account for both corrections properly.