It's a Question of your Career!

Correct Answer: South

Solution : Given:
At the time of sunrise, Diksha and Arpita are sitting in a park with their backs facing each other.

At the time of Sunrise, the Sun is in the east direction, and the shadow will be in the west direction, 
So, it is given

Correct Answer:

Solution : When the given unfolded paper is folded, it will look like –

Hence, the fourth option is correct.

Correct Answer: 3048

Solution : Given: $a-b=8$ and $4ab=84$
⇒ $ab=21$
Now, $a-b=8$
Cubing both sides we get,
⇒ $(a-b)^3=8^3$
⇒ $a^3-b^3-3ab(a-b)=512$
Putting the values, we get:
⇒ $a^3-b^3-3\times 21\times8=512$
⇒ $a^3-b^3=512+504$
⇒ $a^3-b^3=1016$
$\therefore 3a^3-3b^3 =3\times1016=3048$
Hence, the correct answer is 3048.

Correct Answer: (2)

Solution : The sentence can be improved using the second option.

The article "the" should be used before the word triumph to make it specific, conveying the meaning that the people are not witnessing the victory but the breakdown of democracy.

Therefore, the correct sentence would be:

Correct Answer: Generally

Solution : The correct answer is the first option.

Generally indicates that a garden knife is commonly or typically used for pruning but does not specify any particular method or frequency.

The meanings of the other options are as follows:

Systematically: This adverb implies that the garden

Correct Answer: small leaks, especially

Solution : The third option is correct.

The term meagre leaks is not commonly used and can be confusing. Also, the adverb especially is the correct word to use here because it emphasises that particular attention should be given to the pipework connections.

Therefore,

Correct Answer: 70°

Solution : In a $\triangle A B C, \angle B+\angle C=110^{\circ}$
The sum of angles in a triangle = 180°
⇒ $\angle A +\angle B+\angle C = 180°$
⇒ $\angle A + 110° = 180°$
⇒ $\angle A = 70°$
Hence, the correct answer is 70°.

Correct Answer: 1

Solution : $\frac{\sin^4 A+\cos^4 A}{1-2 \sin^2 A \cos^2 A}$
Since $\sin^2A+\cos^2 A=1$ and $(\sin^2A+\cos^2 A)^2=1$,
$=\frac{\sin^4 A+\cos^4 A}{(\sin^2A+\cos^2 A)^2 -2 \sin^2 A \cos^2 A}$
$= \frac{\sin^4 A+\cos^4 A}{\sin^4A+\cos^4 A -2 \sin^2 A \cos^2 A +2 \sin^2 A \cos^2 A}$
$=\frac{\sin^4 A+\cos^4 A}{\sin^4A+\cos^4 A }$
$=1$
Hence, the

Correct Answer: 21

Solution : The people who can speak Tamil and Telugu is represented by the region common to the circles representing Tamil and Telugu. The required region is shaded in the venn diagram below –

So, the number of all those people who can speak Tamil and Telugu

Correct Answer: June 1798

Solution : The correct option is June 1798.

In 1797–1798, Henry Cavendish conducted groundbreaking experiments to measure the gravitational constant and calculate Earth's density. His work, published in June 1798 as Experiments to Determine the Density of the Earth, marked a significant step in understanding