वह बड़ी से बड़ी संख्या क्या है जिससे 30,53 और 99 को विभाजित करने पर एक समान शेषफल बचे
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Answer:
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प्रश्न :- वह बड़ी से बड़ी संख्या क्या है जिससे 30, 53 और 99 को विभाजित करने पर एक समान शेषफल बचे ?
(a) 21
(b) 13
(c) 19
(d) 23
उतर :-
हम जानते है कि,
- वह बड़ी से बड़ी संख्या क्या है जिससे x, y और z को विभाजित करने पर एक समान शेषफल बचता है होती है = HCF (|x - y|, |y - z| , |z - x|)
हमे दिया हुआ है,
- x = 30
- y = 53
- z = 99
अत,
- |x - y| = |30 - 53| = 23
- |y - z| = |53 - 99| = 46
- |z - x| = |99 - 30| = 69
इसलिए,
→ अभीष्ट संख्या = HCF(23,46,69) = HCF(23*1 , 23*2 , 23*3) = 23 (Ans.) (Option d).
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