जर 750PQ ही 5-अंकी संख्या 3, 7 आणि 11 ने विभाज्य असेल, तर P + 2Q चे मूल्य किती आहे?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 4)
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  1. 17
  2. 15
  3. 18
  4. 16

Answer (Detailed Solution Below)

Option 1 : 17
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दिलेले आहे:

750PQ ही 5-अंकी संख्या 3, 7 आणि 11 ने विभाज्य आहे

वापरलेली संकल्पना:

लसाविची संकल्पना

गणना:

3, 7 आणि 11 चा लसावि 231 आहे.

सर्वात मोठी 5-अंकी संख्या 75099 घेऊन आणि त्याला 231 ने भागून.

जर आपण 75099 ला 231 ने भागले तर आपल्याला भागाकार 325 आणि बाकी 24 मिळेल.

तर, ती पाच अंकी संख्या 75099 - 24 = 75075 आहे.

संख्या = 75075 आणि P = 7, Q = 5

आता,

P + 2Q = 7 + 10 = 17

P + 2Q चे मूल्य 17 आहे.

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