As per NCF 2005, Mathematics curriculum is ambitious, coherent and teaches improtant Mathematics. Here 'ambitious' refers to

Options

A. seek higher aims of teaching Mathematics in school
B. teach more than one way of solving problems of Mathematics
C. teach variety of Mathematics like arithmetic algebra, geometry and data handling
D. seek narrow aims of teaching Mathematics in school

Answer

To solve the question regarding the term 'ambitious' as per the NCF 2005 in the context of the Mathematics curriculum, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Context**: The question refers to the National Curriculum Framework (NCF) 2005, which outlines the goals and structure of the Mathematics curriculum in schools. The term 'ambitious' is used to describe the nature of this curriculum.

**Hint**: Think about what 'ambitious' means in an educational context. It often implies striving for higher goals or standards.

2. **Analyzing the Options**: We have four options to consider:
- Option a: Seek higher aim of teaching Mathematics in school.
- Option b: Teach more than one way of solving problems of Mathematics.
- Option c: Teach variety of Mathematics like Arithmetic, Algebra, Geometry, and Data Handling.
- Option d: Seek narrow aim of teaching Mathematics in school.

**Hint**: Look for the option that suggests a broader or more challenging approach to teaching Mathematics.

3. **Evaluating Each Option**:
- **Option a** suggests a higher aim, which aligns with the idea of ambition.
- **Option b** emphasizes teaching multiple methods for problem-solving, which can also be seen as ambitious.
- **Option c** focuses on variety, which is important but may not directly relate to the term 'ambitious'.
- **Option d** contradicts the idea of ambition by suggesting a narrow aim.

**Hint**: Consider which option best captures the essence of striving for excellence and encouraging deeper understanding in Mathematics.

4. **Selecting the Best Option**: After evaluating the options, Option b ("Teach more than one way of solving problems of Mathematics") stands out. It reflects an ambitious approach by encouraging students to explore various methods and develop a deeper understanding of mathematical concepts.

**Hint**: The goal of an ambitious curriculum is to foster critical thinking and problem-solving skills in students.

5. **Conclusion**: Therefore, the correct interpretation of 'ambitious' in the context of the NCF 2005 Mathematics curriculum is best represented by Option b.

### Final Answer:
**Option b: Teach more than one way of solving problems of Mathematics.**