Question

Select the number from among the given options that can replace the question mark (?) in the following series. [6/5], [3/2], [9/5],[21/10], [12/5], ?

• A. 5/2
• B. 27/10
• C. 29/10
• D. 9/2

Answer 1

Answer:

B. 27/10

Convert all terms to a common pattern:

$\frac{6}{5},\ \frac{3}{2},\ \frac{9}{5},\ \frac{21}{10},\ \frac{12}{5}$

Write all with denominator 10:

$\frac{12}{10},\ \frac{15}{10},\ \frac{18}{10},\ \frac{21}{10},\ \frac{24}{10}$

Pattern:

Numerators:
12, 15, 18, 21, 24 → increasing by +3

Next numerator = 27

$\frac{27}{10}$

Final Answer:

27/10