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Question

The arithmetic mean of a set of 10 numbers is 20. If each number is first multiplied by 2 and then increased by 5, then what is the mean of the new numbers?

A
20
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B
25
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C
40
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D
45
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Solution

The correct option is C 45
Mean of 10 number is 20.
Sum of 10 numbers = 200
When each number is multiplied by 2 and 5 is added to each number, new sum = 2×200+10×5=450
Now, new mean = 45010=45

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