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The number of boys in a class is $3 x^{2} - 2 x + 1$ . If total strength is $4 x^{2} - 8 x + 5$ , then the number of girls is

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x^{2} - 6 x + 2

x^{2} - 6 x + 4

x^{2} - 4 x + 4

x^{2} + 4 x - 6

answer is B.

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Detailed Solution

Given total strength

= 4 x^{2} - 8 x + 5

Number of boys $= 3 x^{2} - 2 x + 1$

$Number of girls=total strength-number of boys$

$= (4 x^{2} - 8 x + 5) - (3 x^{2} - 2 x + 1)$

$= 4 x^{2} - 8 x + 5 - 3 x^{2} + 2 x - 1$

$= 4 x^{2} - 3 x^{2} - 8 x + 2 x + 5 - 1$

$= x^{2} - 6 x + 4$

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