5, 7, 8, 10, 12, 13 आणि N या संख्यांची चढत्या क्रमाने मांडणी केली आहे. जर संख्यांचा मध्य हा मध्यकाशी समान असेल तर N चे मूल्य किती असेल?

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SSC MTS 2020 (Held On : 8 Oct 2021 Shift 1 ) Official Paper 10
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  1. 16
  2. 14
  3. 25
  4. 15

Answer (Detailed Solution Below)

Option 4 : 15
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दिलेल्याप्रमाणे​:

चढत्या क्रमाने मांडणी केलेल्या संख्या = 5, 7, 8, 10, 12, 13 आणि N

वापरलेले सूत्र:

मध्य = पदांची बेरीज/पदांची संख्या

जेव्हा n विषम असतो,

मध्यक = (n + 1)/2

गणना:

चढत्या क्रमाने मांडणी केलेल्या संख्या= 5, 7, 8, 10, 12, 13 आणि N

सरासरी = (5 + 7 + 8 + 10 + 12 + 13 + N)/7

⇒ (55 + N)/7

आता,

एकूण पदांची संख्या = 7, जी विषम आहे

म्हणून, मध्यक = (n + 1)/2

⇒ (7 + 1)/2 = 4

चौथे पद = 10

आता,

दिलेल्या अटीनुसार

⇒ (55 + N)/7 = 10

⇒ 55 + N = 70

⇒ N = (70 – 55)

⇒ N = 15

∴ N चे आवश्यक मूल्य 15 आहे

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