It's a Question of your Career!

Correct Answer: $2^{\frac{1}{2}}$

Solution : Given: $a = 64$ and $b = 289$
The given expression is $\sqrt{\sqrt{\sqrt{a}+\sqrt{b}}-\sqrt{\sqrt{b}-\sqrt{a}}}$.
Substitute the value of $a = 64$ and $b = 289$ in the above equation, we get,
$=\sqrt{\sqrt{\sqrt{64}+\sqrt{289}}-\sqrt{\sqrt{289} - \sqrt{64}}}$
$=\sqrt{\sqrt{8+17}-\sqrt{17-8}}$
$=\sqrt{\sqrt{25}-\sqrt{9}}$
$=\sqrt{5-3}$
$=2^{\frac{1}{2}}$
Hence, the correct answer is $2^{\frac{1}{2}}$.

Correct Answer: GARBAGE

Solution : Given:
HARBINGER

Now, let's compare all the option words with the word HARBINGER –
First option: BARRING; All the letters of BARRING are present in the word HARBINGER.
Second option: GARNER; All the letters of GARNER are present in the word HARBINGER.
Third option: GARBAGE;

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})

Correct Answer: BCAD

Solution : The third option is the correct choice.

The sequence begins with Abdul experiencing loneliness after all his goats leave him (B), highlighting his emotional connection to the animals. This loneliness is further emphasised in sentence C, explaining that Abdul couldn't do without his pets. Following

Correct Answer: allows

Solution : The correct option will be the second option.

The word "allows" indicates that a personal injury or wrongful death lawsuit permits or enables compensation for the affected worker or their surviving family members.

This choice maintains the logical flow of the sentence, highlighting

Correct Answer: Roderick MacKinnon 

Solution : The correct answer is Roderick MacKinnon.

Nobel Prize in Chemistry is awarded by the Royal Swedish Academy of Sciences every year. The 2003 Nobel Prize was conferred to Peter Agre and Roderick MacKinnon. They have demonstrated how ions and water are transported through cell

Correct Answer: 65

Solution : Let's check the options –
First option: 49; 7² = 49; 49 is a perfect square. 
Second option: 36; 6² = 36; 36 is a perfect square.
Third option: 65; 65 is not a perfect square.
Fourth option: 100; 10² = 100;

Correct Answer: Both I and II

Solution : The correct option is Both I and II.

Shakas belonged to the Scythian ethnic group. The Shakas migrated into northwest India after being driven out of the plains of Syr Darya (Jaxartes) by the Great Yueh Chi tribe (a Chinese tribe)

Correct Answer: 40%

Solution : Given,
The ratio of selling price to cost piece = 7 : 5
We know, Profit percentage = $\frac{\text{Profit}}{\text{cost price}} × 100$
Let the selling price and cost price be $7x$ and $5x$ respectively
Profit = $7x - 5x$
⇒ Profit = $2x$
So, the

Correct Answer: Innocense

Solution : The correct choice is the first option.

There is an error in the spelling of "innocense" because the correct spelling is innocence, which means the fact of not being guilty of a crime.

The meanings of other words are as follows: