book Maths Puzzle Numerical Ability

The 8 people at a party shook hands exactly once with each of the others before the 9th arrived. The 9th person then shook hands with some of these 8 people. A
total of 32 handshakes took place. With how many people did the 9th person shake hands?

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book Other Question

The diagonal of a rectangle is 10 inches and the area is 45 square inches. Find the dimension of the rectangle, correct to one decimal place. Use the discriminant to find what type of solutions (two rational, two irrational, one rational, or two nonreal complex) Do not solve the equation. Show work and list the values