Others Maths Puzzle

The remainder when x45 + 52 is divided by x + 1 is

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Others Other Question

The area of a rectangle remains unchanged when it is made 4cm shorter and 4cm wider or when it is made 18cm longer and 9cm narrower. Its area, in square cm, is:

Two candles of the same length are made of different materials so that one burns out completely at a uniform rate in 3 hours while the other burns out in 4 hours. At what time (in PM) should both candles be lit so that at 9 PM one candle stub is twice the length of the other?