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Question

What will be the sum of the given sequence?

1 + 3 + 5 + 7 + 9 = 25
11 + 13 + 15 + 17 + 19 = 75
21 + 23 + 25 + 27 + 29 = ?

A

85
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B
115
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C
125
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D
135
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Solution

The correct option is C 125
Sum 1 + 3 + 5 + 7 + 9 = 25.
If we add 10 to each of the numbers we will get
11 + 13 + 15 + 17 + 19
So we can say
11 + 13 + 15 + 17 + 19 = 25 + 50 = 75
For the sum of next 5 number we need to add 50 to the sum of previous 5 numbers.
Therefore,
21 + 23 + 25 + 27 + 29
= 75 + 50
= 125

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