It's a Question of your Career!

Correct Answer: 60º

Solution :

In a triangle, the angles are in the ratio 2 : 2 : 5.
Let the angles are $2x$, $2x$, and $5x$ respectively, where $x$ is a constant.
Since the sum of the angles in a triangle is \(180^\circ\).
$⇒2x + 2x + 5x =

Correct Answer:

$\frac{\pi}{3}$

Solution : Given: $0°<\theta<90°$ and $2\sec\theta =3 \operatorname{cosec}^2 \theta$
$2\sec\theta =3 \operatorname{cosec}^2 \theta$
$⇒\frac{2}{\cos\theta}=\frac{3}{\sin^2\theta}$
Squaring both sides, we get,
$\frac{4}{\cos^2\theta}=\frac{9}{\sin^4\theta}$
$⇒4\sin^4\theta+9\sin^2\theta-9=0$
$⇒(\sin^2\theta+3)(4\sin^2\theta-3)=0$
$\therefore \sin\theta= \sqrt{-3} , \frac{\sqrt{3}}{2}$
The value of $\sin\theta$ can't be $\sqrt{-3}$.
$⇒\sin\theta= \frac{\sqrt{3}}{2}=\sin60°$
$\therefore \theta=60°=\frac{\pi}{3}$
Hence, the correct answer is $\frac{\pi}{3}$.

Correct Answer: 4 days

Solution : 1 day's work of A = $\frac{1}{9}$
1 day's work of B = $\frac{1}{12}$
1 day's work of A = $\frac{1}{18}$
1 day's work of (A + B + C) $=\frac{1}{9}+\frac{1}{12}+\frac{1}{18}=\frac{4+3+2}{36}=\frac{9}{36}$
$\therefore$ So they can complete the whole work in $\frac{36}{9}$ = 4 days

Correct Answer: 15 km/hr

Solution : Given: A boy walks $\frac{1}{6}$th distance with a speed of 5 km/hr and rides a bike to cover the remaining distance at a speed of 25 km/hr.
The total distance is 60 km.
The distance covered on foot = $\frac{60}{6}$ = 10 km
The

Correct Answer: many

Solution : The correct choice is the first option.

Explanation: In this context, many is the most suitable option. It implies that the speaker has visited a significant number of coaching institutes in the region. Much refers to quantity but is typically used with uncountable

Correct Answer: 197.5

Solution : Given: The cost of 32 pens and 12 pencils = INR 790
So, cost of 8 pens and 3 pencils = $\frac{790}{4}$ = 197.5
Hence, the correct answer is 197.5.

Correct Answer: Hydro-electricity

Solution : The correct option is Hydroelectricity.

Sometimes the term "white coal" refers to hydroelectricity. Hydroelectricity is produced by harnessing the energy of moving or falling water, often via the use of dams and turbines to transform the kinetic energy of the water into electrical energy. It

Correct Answer: Cerebellum

Solution : The correct answer is Cerebellum.

The top region of the brain is called the cerebrum. It receives information from the sensory organs, interprets it, and commands the body. Additionally, the cerebrum is main in mental processes like thinking, emotion regulation and remembering. Taking a

Correct Answer: cloud

Solution : The second option is correct.

• Cloud means to obscure or confuse someone's judgement or perception.
• In this context, the speaker is suggesting that the person's emotions are making it difficult for them to think clearly or make rational decisions.

Therefore, the correct answer is cloud

Correct Answer: 13

Solution : Given: 
A denotes addition, B denotes multiplication, C denotes subtraction, and D denotes division.
14 C (18 D 3) A 5 = ?

On replacing the alphabet, with mathematical signs we get –
= 14 – (18 ÷ 3) + 5
= 14 – 6