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# jmo question

Find a number which when divided by 10 leaves remainder 9, when divided by 8 leaves remainder 7, etc. down to where when divided by 2, it leaves remainder 1.

Note by Ayushi Gupta
2 years, 8 months ago

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Let the no be A A = 10.b -1 A= 8.c -1 A= 6.d -1 A= 4e -1 A= 2f -1 Taking lcm of 10 , 8 , 6, 4, 2 we will get 120 120-1 =119 · 1 year, 9 months ago

119 · 1 year, 9 months ago

2519 is the smallest of such no.s · 1 year, 10 months ago

839 · 2 years, 8 months ago