So the number is something like (p,say)-> 5x + 2 so the square of the number is (p2) -> 25x2 + 20x + 4 => 5(5x2 + 4x) + 4 so p2 % 5 = 4 always

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Put (or imagine) alternate + and - signs in front of the digits. Total them all up, If the total is zero, or if the total divides exactly by 11, then the original number will divide by 11.

Take off the last digit and multiply it by 9,Subtract it from the digits you have left. If the answer divides by 13 (or is zero), then your original number will also divide by 13.

Probability of non-defective shape is 1-.03=0.97 probability of non-defective pant is 1-0.06=0.94 so the probability of non-defective item is .97*.94=.9118

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Because,100*3 it is tripled so for first month it will be 300 similarly we have to do for other 3 months also so it is 100*3*4

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For a number to be divisible by 90 it must be divisible by 9 & 10 both So for a given number 764xy , y=0 & 764x should be divisible by 9 so x=1 hence x+y=1+0=1

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