KVPY Government Jobs Exams

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

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KVPY Other Question

Two workers A and B are engaged to do a piece of work. Working alone, A takes 8 hours more to complete the work than if both worked together. On the other hand, working alone, B would need 2 4 1 hours more to complete
the work than if both worked together. How much time would they take to complete the job working together?
option
(A) 4 Hours
(B) 5 Hours
(C) 6 Hours
(D) 7 Hours
How many ordered pairs of (m, n) integers satisfy ?
m/12=12/n