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​Select the fraction from among the given options that can replace the question mark (?) in the following series. 34,74,54,94,?\tfrac{3}{4},\tfrac{7}{
Question

Select the fraction from among the given options that can replace the question mark (?) in the following series.
34,74,54,94,?\tfrac{3}{4},\tfrac{7}{4},\tfrac{5}{4},\tfrac{9}{4},?​​​

A.

74\tfrac{7}{4}​​

B.

94\tfrac{9}{4}​​

C.

54\tfrac{5}{4}​​

D.

134\tfrac{13}{4}​​

Correct option is A

Given: 34,74,54,94,?\tfrac{3}{4},\tfrac{7}{4},\tfrac{5}{4},\tfrac{9}{4},? 
Logic:
(1st numerator +4 = 2nd numerator)
(2nd Numerator - 2 = 3rd numerator)
(3rd numerator +4 = 4th numerator)
(4th numerator -2 = 5th numerator)​​
And every place denominator will be the same as;

Numerator \rightarrow 3 + 4 = 7 , 7 - 2 = 5, 5 + 4 = 9, 9 - 2 =7,

Denominator will be as it is; 4 
Next term will be;  74\bf\frac{7}{4}​​
Thus, the correct answer is option (a).

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