Directions: There are 30 questions in this section. Each question is followed by finathration alternatives. If \( \frac{a}{b}=\frac{3}{5} \) and \( \frac{b}{c}=\frac{20}{27} \) then \( \frac{c^{2}-a^{2}}{c^{2}+a^{2}} \) is (A) \( \frac{1}{7} \) (B) \( \frac{65}{97} \) (C) \( \frac{49}{81} \) (D) \( \frac{7}{25} \) (E) \( \frac{9}{19} \)

पुढ़ील कृती पूर्ण करून एकसामयिक समीकरणे सोडवा : कृती : \[ \begin{aligned} 5 x+3 y & =9 \\ 2 x-3 y & =12 \\ & =\square \end{aligned} \] \[ \therefore x= \] \( \square \) \( x=3 \) समीकरण (I) मध्ये ठेवू. \( \square \) \[ +3 y=9 \] \[ \therefore 3 y= \] \( \square \) \[ \therefore y= \] \( \square \)

The school production of 'Our Town' was a big success. For opening night, 413 tickets were sold. Students paid \( \$ 2.50 \) each, while non-students paid \( \$ 4.50 \) each. If a total of \( \$ 1256.50 \) was collected, how many students and how many non-students attended? The number of students was \( \square \). (Simplify your answer.) The number of non-students was \( \square \). (Simplify your answer.)

Find the value of \( x \) \( 3 x-2 y=19 \) \( 4 x-8 y=4 \)

12. Find the values of \( p \) and \( q \) if both \( (x-1) \) and \( (x+2) \) are factors of the cubic \( x^{3}+p x^{3}+q x+4 \)

Find the value of \( x \) \( \begin{array}{l}3 x-2 y=19 \\ 4 x-8 y=4\end{array} \)