Let K be the smallest positive inte...
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Let K be the smallest positive integer with the property that for all n such that 2 s s 10, when divided by it leaves a remainder of n - 1. then the sum of the digits of K equals. (A) 12 (B) 13 (C) 15 (D) 17

JEE/Engineering Exams
Maths
Solution
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n is thon 2 to 10 . ( k ) will ( h ) LCM ob ( (2,3,1,5,6,7,8,9,10)-1 ) [ begin{array}{l}angle C M text { of }(2-10) text { is } 2520 k=250 quad 2520-1=2519end{array} ] [ begin{array}{l}text { Sum ob digits }=2+5+1+9=17end{array} ]
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