Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
15 : 145 :: 10 : 95 :: 20 : ?

In an analogy question we must discover a rule that converts each “first number” into its corresponding “second number.”
Once the rule is identified, apply it to the fifth number to obtain the missing value.

Step 1 - Look for a simple arithmetic rule
Compare each given pair:

Pair 1 : $$15 \rightarrow 145$$
Pair 2 : $$10 \rightarrow 95$$

If we try “multiply by 10, then subtract 5,” we get:

For 15: $$15 \times 10 = 150$$, then $$150 - 5 = 145$$ — matches.

For 10: $$10 \times 10 = 100$$, then $$100 - 5 = 95$$ — matches as well.

The same rule must therefore hold for the third pair.

Step 2 - Apply the rule to the third pair
Start with $$20$$:

Multiply by 10: $$20 \times 10 = 200$$.

Subtract 5: $$200 - 5 = 195$$.

Step 3 - Choose the correct option
The value obtained is $$195$$, which corresponds to Option C.

Hence, the required number is 195.
Option C which is: 195