Latest Assessment Aptitude Question SOLUTION: How many ordered pairs of (m.n) integers satisfy m/12 = 12/n

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(#M40166358) ASSESSMENT General Ability question Keep an EYE

How many ordered pairs of (m.n) integers satisfy m/12 = 12/n

Asked In Assessment Achyuth (4 years ago)

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Karthikkolluri  (4 years ago)

m/12 = 12/n

=> m*n = 144

Now 144 = 2 * 2 * 2 * 2 * 3 * 3

From the above set of prime factors of 144 , we can calculate 2 factors m & n

1 x 144 = 144

2 x 72 = 144

3 x 48 = 144

4 x 36 = 144

6 x 24 = 144

8 x 18 = 144

9 x 16 = 144

12 x 12 = 144

First factor is m & second factor is n

Then we interchange the values.

So , 8+ 8 =16

Then both negative numbers & interchange

Again we get 8+8 =16

16 +16 =32

(12 x 12 )& (-12 x -12 ), 2 repeated pairs to be subtracted

So TOTAL = 30 pairs

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