KVPY Government Jobs Exams

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

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KVPY Other Question

When a bucket is half full, the weight of the bucket and the water is 10 kg. When the bucket is two - thirds full, the total weight is 11kg. What is the total weight, in kg, when the bucket is completely full Let S = {1, 2, 3, .., 40} and let A be a subset of S such that no two elements in A have their sum divisible by 5. What is the maximum number of elements possible in A ?
option
(A) 10
(B) 13
(C) 17
(D) 20