Birla Institute of Technology and Science, Pilani
Question : Comprehension:
Read the given passage and answer the questions that follow.
As the Sun inches closer to its peak activity in its solar cycle, an explosion has been picked up behind the northeastern limb of the star in our solar system. Solar observatories saw bits and pieces of the explosion, which remain obscured in view from Earth's orbit.
The explosion was spotted on 31 July at around 2309 UT and Earth-orbiting satellites registered a long-lasting C9.3-class solar flare. "The intensity is probably an underestimate because it was partially eclipsed by the edge of the sun. Nasa's Solar Dynamics Observatory (SDO) saw hot debris flying away from the blast site," space weather, which tracks the solar activity, reported.
While the explosion was powerful, experts have predicted that Earth is not in the line of fire from the Sun. Scientists are expected to get a view of the active region later this week as it comes to sight. Earth is not in the line of fire. The explosion is significant because it may herald an active region set to emerge over the sun's northeastern limb later this week. A new sunspot group could bring an end to weeks of relative quiet," Space Weather said in its report.
Select the most appropriate synonym of the given word from the passage.
Debris
Option 1: Detritus
Option 2: Rays
Option 3: Specks
Option 4: Liquid
Correct Answer: Detritus
Solution : The correct choice is the first option.
Debris means the remains of something that is broken or destroyed. Detritus means waste material left, especially after a particular event, making it a synonym for "debris".
The meanings of the other options are as follows:
Question : The value of $\frac{4 \tan ^2 30^{\circ}+\sin ^2 30^{\circ} \cos ^2 45^{\circ}+\sec ^2 48^{\circ}-\cot ^2 42^{\circ}}{\cos 37^{\circ} \sin 53^{\circ}+\sin 37^{\circ} \cos 53^{\circ}+\tan 18^{\circ} \tan 72^{\circ}}$ is:
Option 1: $\frac{35}{48}$
Option 2: $\frac{59}{48}$
Option 3: $\frac{49}{24}$
Option 4: $\frac{35}{24}$
Correct Answer: $\frac{59}{48}$
Solution : Given: $\frac{4 \tan ^2 30^{\circ}+\sin ^2 30^{\circ} \cos ^2 45^{\circ}+\sec ^2 48^{\circ}-\cot ^2 42^{\circ}}{\cos 37^{\circ} \sin 53^{\circ}+\sin 37^{\circ} \cos 53^{\circ}+\tan 18^{\circ} \tan 72^{\circ}}$ We know that $\tan 30^{\circ} = \frac{1}{\sqrt{3}}$ $\sin 30^{\circ} = \frac{1}{2}$ $\cos 45^{\circ} = \frac{1}{\sqrt{2}}$ $\cos 37^{\circ} = \cos (90^{\circ} - 53^{\circ}) = \sin 53^{\circ}$ $\sin 37^{\circ} = \sin (90^{\circ} - 53^{\circ}) = \cos 53^{\circ}$ $\tan 18^{\circ} \tan 72^{\circ} = 1$ (since $18^{\circ}$ and $72^{\circ}$ are complementary angles) Putting the values, we get: $= \frac{4 (\frac{1}{\sqrt{3}})^2 + (\frac{1}{2})^2 (\frac{1}{\sqrt{2}})^2 + \sec ^2 48^{\circ} - \tan ^2 48^{\circ}}{\sin 53^{\circ} \sin 53^{\circ} + \cos 53^{\circ} \cos 53^{\circ} + 1}$ $= \frac{4 (\frac{1}{3}) + \frac{1}{8} +1}{(\sin ^2 53^{\circ} + \cos ^2 53^{\circ}) + 1}$ Since $\sin ^2 \theta + \cos ^2 \theta = 1$ for any angle $\theta$, the denominator becomes $1 + 1 = 2$. So, the expression simplifies to: $=\frac{4 (\frac{1}{3}) + \frac{1}{8} + 1}{2}$ $=\frac{ (\frac{4}{3}) + \frac{1}{8} + 1}{2}$ $=\frac{ (\frac{32+3+24}{24}) }{2}$ $=(\frac{59}{48})$ Hence, the correct answer is $(\frac{59}{48})$.
As the sun inches closer to its peak activity in its solar cycle, an explosion has been picked up behind the northeastern limb of the star in our solar system. Solar observatories saw bits and pieces of the explosion, which remain obscured in view from Earth's orbit.
The explosion was spotted on July 31 at around 2309 UT, and Earth-orbiting satellites registered a long-lasting C9.3-class solar flare. "The intensity is probably an underestimate because it was partially eclipsed by the edge of the sun. Nasa's Solar Dynamics Observatory (SDO) saw hot debris flying away from the blast site," space weather, which tracks the solar activity, reported.
While the explosion was powerful, experts have predicted that Earth is not in the line of fire from the Sun. Scientists are expected to get a view of the active region later this week as it comes into sight. The earth is not in the line of fire. The explosion is significant because it may herald an active region set to emerge over the sun's northeastern limb later this week. A new sunspot group could bring an end to weeks of relative quiet," Space Weather said in its report.
Peak
Option 1: Glance
Option 2: Point
Option 3: Bottom
Option 4: Zenith
Correct Answer: Zenith
Solution : The fourth option is correct.
A peak is the highest point of something.
Zenith refers to the highest point reached by a celestial body. Both of these words signify the highest point or culmination of something, making them synonymous.
Therefore, the correct answer is zenith.
Spotted
Option 1: Witnessed
Option 2: Speckled
Option 3: Splotchy
Option 4: Placed
Correct Answer: Witnessed
Spotted means to see or notice someone or something. Witnessed is the past form of "witness", which means to see something while it is happening, making it a synonym for "spotted".
Therefore, the right answer is witnessed.
Hello,
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Thank you..
Hello aspirant,
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Thank you
Hope this information helps you.
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