exam Maths Puzzle Numerical Ability

Three towns a b c lie in a straight road in the order. The distance from B to C is 6 miles more than twice the distance from A to B. The distance from A to C is 2 miles more than 4 times the distance from A to B. What is the distance from A to b?

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Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width)of the rectangle?

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P is a point that is not on line m. How many line can be drawn through p that form a 30 degree angle with line M