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1.
$If a, b and c are any three non - zero real numbers and, \frac{a}{2} = \frac{b}{3} = \frac{c}{4} = \frac{2 a - 3 b + 5 c}{A}, then the value of A is$

7

9

11

15

$\frac{a}{2} = \frac{b}{3} = \frac{c}{4} \Rightarrow \frac{2 \times a}{2 \times 2} = \frac{- 3 \times b}{3 \times - 3} = \frac{5 \times c}{5 \times 4} \Rightarrow \frac{2 a}{4} = \frac{- 3 b}{- 9} = \frac{5 c}{20} = \frac{2 a - 3 b + 5 c}{4 - 9 + 20} \Rightarrow \frac{2 a}{4} = \frac{- 3 b}{- 9} = \frac{5 c}{20} = \frac{2 a - 3 b + 5 c}{15} ∴ A = 15$

Place of Mathematics education in the curricular framework is positioned on twin concerns.

What Mathematics education can do to improve the score of students in summative examination and how it can help to choose right stream in higher classes?
What Mathematics can do to retain every child in school and how it can help them to be self-dependent?
What Mathematics education can do to improve communication skills of every child and how it can make them employable after school?
What Mathematics education can do to engage the mind of every student and how it can strengthen the student's resources?

In a Mathematics classroom, emphasis is placed on

problem solving strategies
mathematical algorithms and processes
mathematical content
mathematical content, process and reasoning

$Factors of x^{2} + 3 \sqrt{2} x + 4 are$

$(x + 2 \sqrt{2}) (x - \sqrt{2})$
$(x + 2 \sqrt{2}) (x + \sqrt{2})$
$(x - 2 \sqrt{2}) (x - \sqrt{2})$
$(x - 2 \sqrt{2}) (x + \sqrt{2})$

As per national curriculum framework 2005, the sequence of Mathematics

Before language
After language
After science
After social science

Some students of your class are repeatedly not able to do well in mathematics examinations and tests. As a teacher you would

give more tests for practice
explain the consequences of not doing well
diagnose the causes and take steps for
remediation
make them sit with high achievers

Consider the following statement. "Every odd natural number is a prime number." Which of the following methods of "proof can be used to prove/disprove the above statement?