The following questions are accompanied by two statements I and II. You have to determine which statements(s) is/are sufficient/ necessary to answer the questions.
What is the total strength of company A?
I. No. of males in company A is 240 which is 20% more than no. of females in that company.
II. Ratio of male to female in company A is 6:5.

Options

A. A) Statement I alone is sufficient
to answer the question but
statement II alone is not sufficient
to answer the questions.
B. B)Statement II alone is sufficient
to answer the question but
statement I alone is not sufficient
to answer the question.
C. C)Both the statements taken together
are necessary to answer the questions,
but neither of the statements alone is
sufficient to answer the question.
D. D)Either statement I or statement
II by itself is sufficient to
answer the question.

Answer

To solve the question regarding the total strength of company A, we will analyze both statements provided and determine their sufficiency.

### Step 1: Analyze Statement I
Statement I states that the number of males in company A is 240, which is 20% more than the number of females.

Let the number of females in company A be denoted as \( F \).

According to the statement:
- The number of males \( M = 240 \)
- Since males are 20% more than females, we can express this as:
\[ M = F + 0.2F = 1.2F \]
Substituting \( M \):
\[ 240 = 1.2F \]
To find \( F \), we rearrange the equation:
\[ F = \frac{240}{1.2} = 200 \]

Now, we can find the total strength of company A:
\[ \text{Total strength} = M + F = 240 + 200 = 440 \]

### Step 2: Analyze Statement II
Statement II states that the ratio of males to females in company A is 6:5.

Let the number of males be \( 6x \) and the number of females be \( 5x \).

The total strength can be expressed as:
\[ \text{Total strength} = 6x + 5x = 11x \]

However, without additional information about either \( x \) or the exact number of males or females, we cannot determine the total strength from this statement alone.

### Conclusion
From the analysis:
- Statement I is sufficient to determine the total strength of company A.
- Statement II alone is not sufficient to determine the total strength.

Thus, the answer is that **Statement I alone is sufficient**, while **Statement II alone is not sufficient**.

### Final Answer
**Option A**: Statement I alone is sufficient, but Statement II alone is not sufficient.