How many integers greater than 10 can be written as the product of

Question

A = {1, 3, 9, 27} 
B = {1, 2, 4, 8, 16} 
C = {1, 7, 49}

How many integers greater than 10 can be written as the product of three numbers, one from each of the sets above?

(A) 53
(B) 54
(C) 52
(D) 59
(E) 60

shaliny · Answer

Hi Bunuel, Karishma B and experts please provide solution for this

ariyanak · Answer

Number of all possible products of one is taken from each set: 4 x 5 x 3 =60

And then a visual view at the set tells me that the number of possible products less than 10 would be 8: 1, 7, 3, 9, 6, 4, 2 and 8

Hence 60 - 8 =52

C

shaliny · Answer

how did you find the 8 values which are <=10, please elaborate it

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