निम्नलिखित में से कौन-सी संख्या 7 से विभाज्य है?

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 3)
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  1. 87
  2. 894
  3. 875
  4. 687

Answer (Detailed Solution Below)

Option 3 : 875
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दिया गया है:

हमें यह निर्धारित करना है कि निम्नलिखित संख्याओं में से कौन-सी संख्या 7 से विभाज्य है:

संख्याएँ: 87, 894, 875, 687

प्रयुक्त सूत्र:

यदि किसी संख्या को 7 से विभाजित करने पर शेषफल 0 आता है, तो वह संख्या 7 से विभाज्य होती है। गणितीय रूप से:
संख्या ÷ 7 ⇒ शेषफल = 0

गणना:

प्रत्येक संख्या के लिए विभाज्यता की जाँच करें:

87 ÷ 7 ⇒ 87 / 7 = 12.4286 (पूर्णांक नहीं; शेषफल ≠ 0)

894 ÷ 7 ⇒ 894 / 7 = 127.7143 (पूर्णांक नहीं; शेषफल ≠ 0)

875 ÷ 7 ⇒ 875 / 7 = 125 (पूर्णांक; शेषफल = 0)

687 ÷ 7 ⇒ 687 / 7 = 98.1429 (पूर्णांक नहीं; शेषफल ≠ 0)

निष्कर्ष:

7 से विभाज्य संख्या 875 है।

सही विकल्प: विकल्प 3

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