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 |
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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 |
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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 |
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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). \( \Large x=\frac{q^{2}-p^{2}}{mp-nq}, y=\frac{q^{2}-p^{2}}{np-mq} \) |
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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). \( \Large \frac{1}{5} \) |
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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 |
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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 |
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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. |
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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. |
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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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