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11). Ten chairs and six tables together cost Rs.6200, three chairs and two tables together cost Rs.1900. The cost of 4 chairs and 5 tables is
A). Rs.3000
B). Rs.3300
C). Rs.3500
D). Rs.3800
12). The system of equations 3x + y - 4 = 0 and 6x + 2y - 8 = 0 has
A). a unique solution x = 1, y=1
B). a unique solution x = 0, y = 4
C). no solution
D). infinite solutions
13). If x+ y - 7 = 0 and 3x + y -13 = 0, then what is \( \Large 4x^{2} + y^{2} + 4xy\) equal to?
A). 75
B). 85
C). 91
D). 100
14). The solution of the equations \( \Large \frac{p}{x}+\frac{q}{y} \  and  \  \frac{q}{x}+\frac{p}{y} \) n is
A). \( \Large x=\frac{q^{2}-p^{2}}{mp-nq}, y=\frac{p^{2}-q^{2}}{np-mq} \)
B). \( \Large x=\frac{p^{2}-q^{2}}{mp-nq}, y=\frac{q^{2}-p^{2}}{np-mq} \)
C). \( \Large x=\frac{p^{2}-q^{2}}{mp-nq}, y=\frac{p^{2}-q^{2}}{np-mq} \)
D). \( \Large x=\frac{q^{2}-p^{2}}{mp-nq}, y=\frac{q^{2}-p^{2}}{np-mq} \)
15). If \( \Large \frac{3}{x+y}+\frac{2}{x-y}=2 \) and \( \Large \frac{9}{x+y}-\frac{4}{x-y}=1 \), then what is the value of \( \Large \frac{x}{y} \)?
A). \( \Large \frac{3}{2} \)
B). 5
C). \( \Large \frac{2}{3} \)
D). \( \Large \frac{1}{5} \)


16). If \( \Large \frac{a}{b}-\frac{b}{a}=\frac{x}{y} \) and \( \Large \frac{a}{b}+\frac{b}{a}= x - y \) , then what is the value of x?
A). \( \Large \frac{a+b}{a} \)
B). \( \Large \frac{a+b}{b} \)
C). \( \Large \frac{a-b}{a} \)
D). None of these
17). If \( \Large \frac{x}{2}+\frac{y}{3}=4 \) and \( \Large \frac{2}{x}+\frac{3}{y}=1 \) then what is x + y equal to?
A). 11
B). 10
C). 9
D). 8
18). For the two given equations I and II.

I. \( \Large p^{2} \)+ 5p + 6 = 0

II.\( \Large q^{2} \) + 3q + 2 = 0

A). p is greater than q
B). p is smaller than q.
C). p is equal to q.
D). p is either equal to or smaller than q.
19). For the two given equations I and II.

I. \( \Large p^{2} \) = 4

II. \( \Large q^{2} \) + 4q = - 4

A). p is greater than q
B). p is smaller than q.
C). p is equal to q.
D). p is either equal to or greater than q.
20). For the two given equations I and II.

I. \( \Large p^{2} \) + p = 56

II. \( \Large q^{2} \) - 17 q + 72 = 0

A). p is greater than q
B). p is smaller than q.
C). p is equal to q.
D). p is either equal to or greater than q.
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