numerical ability

Question

The number of 3 digit numbers which are neither multiples of 11 nor 13 are

a) 456

b) 562

c) 662

d) 756

Comments

is it 756 ?

total- divisble by 11 or 13 .. (900- (81+69-6))

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yes..will you please explore how did you solve

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let N₁₃ -> # of 3 digits nos. divided by 13

let N₁₁ -> # of 3 digits nos. dvided by 11

N₁₁ $\cup$ N₁₃ = N₁₁ + N₁₃ - N₁₁$\cap$N₁₃

                           = 81 + 69 - 6 = 144

total 3 digits # which are neither multiple of 11 nor 13 = total nos(3 digits) - N₁₁ $\cup$ N₁₃

                                                                                     = 900 - 144 = 756

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number are 100 to 999 which is 900 ...

floor(900/11)+ floor(900/13)- floor(900/ 11*13)

how this work nitesh hasexplained