41). A 60 page book has n lines per page. If n, the number of lines were reduced by 3, the number of pages go up by 10. The value of n is equal to
| A). 30 |
| B). 21 |
| C). 18 |
| D). 12 |
|
42). A bill for Rs.74 was paid with Rs.5 and Re.1 coins. If total number of coins given is 50, then the number of Rs.5 coins is equal to
|
43). An aircraft carries 2880 litres of fuel distributed in three tanks in the ratio 3 : 4 : 5. The quantity in the 5 parts tank is
| A). 720 litres |
| B). 800 litres |
| C). 1000 litres |
| D). 1200 litres |
|
44). A quantity of alloy has a mass of 400 kg. It contains copper, lead and tin in the ratios, by mass, 15 : 3 : 2. The mass of lead in alloy is equal to
| A). 40 kg |
| B). 60 kg |
| C). 200kg |
| D). 300 kg |
|
45). If \( \Large x^{\frac{1}{3}}+y^{\frac{1}{3}}+z^{\frac{1}{3}}=0 \), then the value of \( \Large \left(x+y+z\right)^{3} \) will be
| A). \( \Large 3x^{\frac{1}{3}}.y^{\frac{1}{3}}.z^{\frac{1}{3}} \) |
| B). \( \Large 9x^{\frac{2}{3}}.y^{\frac{2}{3}}.z^{\frac{2}{3}} \) |
| C). \( \Large 27 xyz \) |
| D). 0 |
|
46). If \( \Large 3^{x}=5^{y}=45^{z} \), then
| A). \( \Large x+y+z=0 \) |
| B). \( \Large \frac{2}{x}=\frac{1}{z}-\frac{1}{y} \) |
| C). \( \Large \frac{2}{y}=\frac{1}{x}-\frac{1}{z} \) |
| D). \( \Large \frac{2}{z}=\frac{1}{y}-\frac{1}{x} \) |
|
47). If \( \Large 3^{x}-3^{x-1}=18 \), then the value of \( \Large x^{x} \) is equal to
| A). 3 |
| B). 8 |
| C). 27 |
| D). 216 |
|
48). If \( \Large x=3-\sqrt{5} \), then value of \( \Large x^{2}+\frac{16}{x^{2}} \) is equal to
| A). 10 |
| B). 24 |
| C). 26 |
| D). 28 |
|
49). The factors of \( \Large a^{3} + 4a^{2} - 11a - 30 \) are
| A). \( \Large \left(a-2\right) \left(a+3\right) \left(a+5\right) \) |
| B). \( \Large \left(a+2\right) \left(a+3\right) \left(a-5\right) \) |
| C). \( \Large \left(a+2\right) \left(a-3\right) \left(a-5\right) \) |
| D). \( \Large \left(a+2\right) \left(a-3\right) \left(a+5\right) \) |
|
50). If \( \Large a^{2}= \left(b+c\right),\ b^{2}= \left(c+a\right),\ c^{2}= \left(a+b\right) \) then the value of \( \Large \frac{1}{a+1}+\frac{1}{b+1}+\frac{1}{c+1} \) is equal to
| A). 1 |
| B). -1 |
| C). 0 |
| D). \( \Large - \left(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\right) \) |
|
