141). If tan θ = \( \Large \dfrac{2}{3} \) , then what is the value of \( \Large \dfrac{15 sin^{2}θ - 3 cos^{2}θ }{5 sin^{2}θ + 3 cos^{2}θ} \)?
| A). \( \Large \dfrac{33}{32} \) |
| B). \( \Large \dfrac{11}{29} \) |
| C). \( \Large \dfrac{33}{47} \) |
| D). \( \Large \dfrac{11}{32} \) |
|
142). If \( \Large \sqrt{5}tanθ = 5sinθ \), then what is the value of \( \Large sin^{2}θ - cos^{2}θ \)?
| A). \( \Large \dfrac{3}{5} \) |
| B). \( \Large \dfrac{1}{5} \) |
| C). \( \Large \dfrac{4}{5} \) |
| D). \( \Large \dfrac{2}{5} \) |
|
143). What is the simplified value of \( \Large \dfrac{7}{sec^{2}θ} + \dfrac{3}{1 + cos^{2}θ} + 4sin^{2}θ \) ?
|
144). Two posts are 4 m apart. Both posts are on same side of a tree. If the angles of depressions of these posts when observed from the top of the tree are 45° and 60° respectively, then what is the height of the tree?
| A). \( \Large \sqrt{3} +1\) |
| B). \( \Large \sqrt{3 \left( \sqrt{3} +1\right) } \) |
| C). \( \Large 2 \left( \sqrt{3}+1\right) \) |
| D). \( \Large 4\sqrt{3} \left(\sqrt{3}+1 \right) \) |
|
145). If \( \Large cosecθ + 3secθ = 5 cosecθ \), then what is the value of cotθ ?
| A). \( \Large \dfrac{4}{3} \) |
| B). \( \Large \dfrac{3}{4} \) |
| C). \( \Large \dfrac{1}{\sqrt{3}} \) |
| D). \( \Large \sqrt{3} \) |
|
| Directions (79-83) : What should come in place of question mark (?) in the given number series ? |
146). The runs scored by Kohli are how much percent more than the runs scored by Sharma?
| A). 100% |
| B). 33.33% |
| C). 66.66% |
| D). 50% |
|
147). Runs scored by Kohli is what percent of runs scored by Yuvraj?
| A). 1.2439 |
| B). 1.3421 |
| C). 1.1313 |
| D). 1.2667 |
|
148). Runs scored by Pujara is what percent of total runs scored by these 5 players?
| A). 25% |
| B). 30% |
| C). 20% |
| D). 23% |
|
149). What is the central angle (in degrees) made by the sector of runs scored by Yuvraj?
| A). 77.68 |
| B). 74.64 |
| C). 72.12 |
| D). 79.34 |
|
150). If runs scored by Rahane is 50% of the runs scored by Yuvraj, then runs scored by Rahane is what percent of total runs scored by Kohli, Pujara and Dhoni?
| A). 16.41 |
| B). 17.82 |
| C). 18.92 |
| D). 16.31 |
|
