15 परिणामांची सरासरी 52 आहे. जर पहिल्या 8 परिणामांची सरासरी 56 असेल आणि शेवटच्या 8 परिणामांची सरासरी 55 असेल, तर 8 व्या परिणामाचे मूल्य किती?

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SSC MTS (2022) Official Paper (Held On: 20 Jun, 2023 Shift 2)
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  1. 116
  2. 92
  3. 96
  4. 108

Answer (Detailed Solution Below)

Option 4 : 108
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दिलेल्याप्रमाणे:

15 परिणामांची सरासरी = 52

पहिल्या 8 परिणामांची सरासरी = 56

शेवटच्या 8 परिणामांची सरासरी = 55

वापरलेले सूत्र:

N संख्यांची बेरीज = N संख्याची सरासरी × N

गणना:

15 परिणामांची बेरीज = 52 × 15 = 780

पहिल्या 8 परिणामांची बेरीज = 56 × 8 = 448

शेवटच्या 8 परिणामांची बेरीज = 55 × 8 = 440

8 व्या परिणामाचे मूल्य = (पहिल्या 8 परिणामांची बेरीज + शेवटच्या 8 परिणामांची बेरीज) - 15 परिणामांची बेरीज

⇒ (448 + 440) - 780

⇒ 888 - 780 = 108

∴ 108 हे योग्य उत्तर आहे.

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