Match the column umber N = 123X43 Y...
Question

# Match the column umber N = 123X43 Y where x & y are diaits 0 SX S9 and OSY S 9. Now answer the following (A) If N is divisible by 2, then the sum of all possible () 573 values of y will be (B) If N is divisible by 3, then the sum of all possible (q) 175 value of x + y will be If N is divisible by 6, then number of orded pairs (x, y) can be If N is divisible by 9, then the sum of possible value of x + y will be (C)

JEE/Engineering Exams
Maths
Solution
96
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(A) oon N to he divisible by 2 Y con take 0,2,4,6,8 And the sum is ( 0+2+4+6+8=20 ). (B) &on ( N ) to be divisible by 3 3 [ begin{aligned} 1+2+3+x+4+3+y &=text { effe } p(3) (x+y+1) &=q(3) end{aligned} ] [ therefore(x+y) text { can he }, 2,5,8,11,14,17 ] Aud the sum is ( 2+5+8+11+14+17 ) [ =57 ] (c) Fon ( N ) to be divisible by ( b ), Y devould be even , and [ begin{array}{c} (x+y+1)=q(3) y=0,2,4,6,8 text { and } x(y=0)=2,5,8, end{array} ] ( x(y=2)=0,3,6,9 ) ( x(y=4)=44,7 ) [ x(y=6)=2,5,8 ] ( x(x=8)=0,3,6,9 ) Total possibilikes ( =17 )