Latest TCS Aptitude Question SOLUTION: value of x and y? so 2430=(10x+y)*(10y+x)

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(#M40013406) TCS question Keep an EYE

value of x and y?
so 2430=(10x+y)*(10y+x)

Asked In TCS sangee (12 years ago)

Unsolved Read Solution (5)

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mohd zubair khan  (12 years ago)

let xy be a number where x and y are digits so 10x+y represents same number as 10y+x writtem in reverse order
on factorization of 2430 we get factors as = 2 x 5 x 3 x 3 x 3 x 3 x 3
make different combination keeping in mind that if one pair is 10x+y another must represent 10y+x
so let have diffenrent combination= (2 x 5 x 3) x ( 3 x 3 x 3 x 3 )
=30 x 81 (wrong combination)
you may try more until you get the following one
again= (5 x 3 x 3 ) x (2 x 3 x 3 x 3)
= 45 x 54
so here if x= 4 then y=5
or if x=5 then y = 4
so number may be either 45 or 54 answer

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Dinesh Gundapaneni  (12 years ago)

an easy approch is.. the result constitutes of 0 in the units digit. this implies that one of the multiplied numbers should definetly contain a 5 in units digit and other number should have a EVEN number in the units digit, by trail and error.. 2 doesn't fit.. hence 4 does. the answer is 45 and 54...

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naagar  (12 years ago)

2430=100xy+10x^2+10y^2+xy
put the values and get the answer.
x=4,y=5

Is this solution Helpfull? Yes (9) | No (5)  

tcsman  (12 years ago)

54 and 45 since 54 and 45 are multipied

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aditya mangalampalli  (11 years ago)

from the equation we can say clearly that the required numbers are two digit numbers
roughly estimate the square root of 2430 it's around 46..
for a number to have 0 in units place we should have 5 or 0)0 is not possible since 10's place in second number will not satisfy)
therefore divide 2430 with 45 remainder is 54 yes u struck the answer

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