Maths Number System
Find the remainder: (1!+2!+3!+...+100!)/7
शेषफल ज्ञात कीजिए: (1!+2!+3!+...+100!)/7
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A
(a) 2
B
(b) 3
C
(c) 5
D
(d) 4
Correct Answer: Option B
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Explanation / व्याख्या:
7!+ onwards div by 7. 1!+2!+3!+4!+5!+6!=1+2+6+24+120+720=873. 873/7=124 r5. Remainder=5.
7! से आगे 7 से विभाज्य। 1+2+6+24+120+720=873। 873 mod 7=5।
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