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The product of two-digit numbers is 2160 and their G.C.M is 12. The numbers are ?
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- 72, 30
- 36, 60
- 96, 25
- None of these
Correct Option: B
Let the number be 12a and 12b
Then 12a x 12b = 2160
or ab = 15
∴ Values of co-primes a and b are (1, 15), (3, 5)
So, the two digit number are 12 x 3 and 12 x 5 i.e. 36 and 60 .