यदि चार-अंकों की संख्या x67y, 9 से पूर्णत: विभाज्य है, तो (x + y) का न्यूनतम मान क्या है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 1)
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  1. 9
  2. 0
  3. 5
  4. 3

Answer (Detailed Solution Below)

Option 3 : 5
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दिया गया है: 

चार-अंकों की संख्या x67y, 9 से पूर्णत: विभाज्य है।

प्रयुक्त सूत्र:

यदि संख्या 9 से विभाज्य है तो संख्या का योगफल भी 9 से विभाज्य होगा

गणना:

x67y, 9 से पूर्णत: विभाज्य है

इसके अंकों का योगफल 9 से विभाज्य होना चाहिए

x + 6 + 7 + y = x + y + 13, 9 से विभाज्य है

x + y का न्यूनतम मान 5 के बराबर होना चाहिए क्योंकि योगफल 18 होगा और यह 9 से विभाज्य है।

(x + y) का न्यूनतम मान 5 है

Additional Information

x और y के संभावित मान इस प्रकार हो सकते हैं:

x = 5, y = 0
x = 4, y = 1
x = 3, y = 2
x = 2, y = 3
x = 1, y = 4
x = 0, y = 5 -- In this case the number became 3 digit number so, this case is not consider

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