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How many such numbers exist between 10 99? (GMAT-MATHS)

A number, K, is a positive integer with the special property that 3 times its unit is equal to 2 times
its 10 digit. How many such numbers exist between 10 & 99? (GMAT-MATHS)
(A) 2
(B) 3
(C) 4
(D) 5


Asked On2019-04-08 13:52:45 by:naikaumprakash

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Answer 28(B).
Here’s another smart Question. It appears to be daunting but it’s not that tough. We start
with 1 at units place. When multiplied 3 times and then divided by 2 we get 1.5. So it is
ruled out. Next we try with 2. When we multiply by 3 we get 6 which when divided by 2
gives us 3.Bingo!! We get the first number 32. Similarly by trying out different numbers
at unit place we get other 2 numbers as 64 and 96(which are also multiples of 32 for
hint). So we get a total of 3 numbers between 10 and 99.

Answerd on:2019-06-05 Answerd By:Jaynil-Gaglani

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A number, K, is a positive integer with the special property that 3 times its unit is equal to 2 times
its 10 digit. How many such numbers exist between 10 & 99? (GMAT-MATHS)
(A) 2
(B) 3
(C) 4
(D) 5
let the no be xy
given
3y=2x
x/y=3/2

So numbers would be multiples of 32.
ANS (B) 3

Answerd on:2019-04-29 Answerd By:naikaumprakash

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