Correct Answer: Ecology

Solution : The correct answer is Ecology.

The branch of science which studies the interaction between organism and its environment is known as ecology. Ecology term was coined by a German botanist, Ernst Haeckel. It is studied at different level like organism, population, community etc. Alexander con

Correct Answer: $2 \frac{6}{19}$

Solution : P and Q complete the job in $4 \frac{2}{5}$ days = $\frac{22}{5}$ days
R and S complete the same job in $4 \frac{8}{9}$ days = $\frac{44}{9}$ days
P, Q, R, and S, working together, would complete in 1 day $=\frac{5}{22}+ \frac{9}{44} = \frac{10+9}{44} =

Correct Answer: Article 141

Solution : The correct answer is Article 141.

By Article 141 of the Indian Constitution's Stare Decisis Doctrine established in 1950, any law pronounced by the Supreme Court holds authority over all courts within the jurisdiction of India. This imparts conclusive authority to the Supreme Court's

Correct Answer: 3

Solution : The correct choice is the third option.

The sentence tends to convey that Kim is so impatient that he cannot tolerate any delay. The correct structure to use is "too + adjective + infinitive".

The other alternatives do not provide the correct structure for

Correct Answer: since several months

Solution : The error lies in the fourth option.

"Since" should be replaced by "for". The words "for" and "since" even though they denote a period of time, can neither be used interchangeably nor synonymously. "For" is used with a period of time in

Correct Answer: 289

Solution : Let the bigger number be $x$.
Smaller number = $680 - x$
​According to the question,
$x(1 - 15\%) = (680 - x)(1 + 15\%)$
⇒ $\frac{x}{(680 - x)} = \frac{23}{17}$
⇒ $17x = 23 × 680 - 23x$
⇒ $40x = 23 × 680$

Correct Answer: $1$

Solution : Given: $\sin \theta+\sin ^2 \theta=1$
Use the trigonometric identity, $\sin^2 \theta+\cos^2 \theta=1$.
$\sin \theta+\sin ^2 \theta=1$
⇒ $\sin \theta=1–\sin ^2 \theta$
⇒ $\sin \theta=\cos ^2 \theta$
The value of $\cos ^2 \theta+\cos ^4 \theta=\sin \theta+\sin^2 \theta =1$.
Hence, the correct answer is 1.

Correct Answer: $37\frac{1}{2}°$

Solution : Given:
$\tan(\alpha -\beta)=1$
$\sec(\alpha +\beta)=\frac{2}{\sqrt{3}}$
Formula Used:
$\tan 45° = 1$
$\sec 45° = \frac{2}{\sqrt{3}}$
Calculation:
$\tan(\alpha -\beta)=1$
⇒ $\alpha -\beta = 45°$..............(i)
Also, $\sec(\alpha +\beta)=\frac{2}{\sqrt{3}}$
⇒ $\alpha +\beta = 30°$................(ii)
Adding (i) + (ii)
$2\alpha = 45° + 30°$
⇒ $\alpha= \frac{75}{2} = 37\frac{1}{2}°$

Correct Answer: Both I and II

Solution : The correct option is Both I and II.

Prashasti were composed of learned Brahmanas, who were scholars and priests in ancient Indian society.

Kings often rewarded Brahmanas and individuals for their services by granting them land or other privileges. These grants

Correct Answer: 30 km/hr

Solution : Given: Driver started at 8:30 A.M. to cover a distance of 300 km till 12:30 P.M.
At 10.30 A.M., he finds that he has covered only 40% of the distance.
Distance covered in 2 hours = 300 × $\frac{40}{100}$ = 120 km
Remaining distance