1,000 पेक्षा कमी किती संख्या 7 आणि 11 या दोन्हीच्या पटीत आहेत?

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 26 Jun, 2024 Shift 1)
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  1. 13
  2. 11
  3. 12
  4. 10

Answer (Detailed Solution Below)

Option 3 : 12
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दिलेल्याप्रमाणे:

आपल्याला 7 आणि 11 दोन्हीच्या पटीत असलेल्या 1,000 पेक्षा लहान संख्या शोधायच्या आहेत.

वापरलेले सूत्र:

दोन संख्यांच्या पटीतील संख्या अथवा विभाज्य शोधण्यासाठी, आपण लघुत्तम सामाईक विभाजक (लसावि) वापरतो.

गणना:

7 आणि 11 यांचा लसावि:

7 आणि 11 या मूळ संख्या आहेत.

(7, 11) यांचा लसावि = 7 × 11 = 77

आता, आपल्याला 77 च्या पटीत असलेल्या 1,000 पेक्षा लहान संख्या शोधायच्या आहेत.

77 च्या पटीत असलेल्या 1,000 पेक्षा लहान संख्या = [1000/77]

⇒ [1000/77] = [12.987…]

आपण, तळ मूल्य घेत असल्याने, आपल्याला 12 मिळते.

म्हणून, 1,000 पेक्षा लहान असलेल्या 7 आणि 11 दोन्हीच्या पटीत असलेल्या एकूण 12 संख्या आहेत.

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