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Which of the following numbers will replace the question mark (?) in the given series? ​375,325,275,225,175,?\frac{37}{5}, \frac{32}{5}, \frac{27}{5}
Question

Which of the following numbers will replace the question mark (?) in the given series?
375,325,275,225,175,?\frac{37}{5}, \frac{32}{5}, \frac{27}{5}, \frac{22}{5}, \frac{17}{5}, ?​​

A.

125\frac{12}{5}​​

B.

95\frac{9}{5}​​

C.

165\frac{16}{5}​​

D.

145\frac{14}{5}​​

Correct option is A

The series is: 375,325,275,225,175,?\frac{37}{5}, \frac{32}{5}, \frac{27}{5}, \frac{22}{5}, \frac{17}{5}, ?​​
Logic:Subtract 5 from the numerator of each term to get the next term and the denominator will remain the same.
Explanation:
Numerator of 375\frac{37}{5}​ is 37; so, 37 – 5 = 32. Thus, the numerator of next term will be 32 and its denominator will be 5.
Similarly, continuing this pattern, the numerators of the next terms will be:
32 – 5 = 27; 27 – 5 = 22; 22 – 5 = 17
The denominators will be (5, 5, 5, 5).
Therefore, the numerator of the next term (missing term) in the series should be 17 – 5 = 12, and the denominator will be 5.
So, the missing term of the series is 125\frac{12}{5}​.

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