Correct Answer: 321

Solution : Given:
383, 381, 377, 369, 353, (?)

Follow the pattern to find the missing term –

So, 321 is the missing term in the series. 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: 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: 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: Meghalaya

Solution : The correct option is Meghalaya.

The indigenous Garo people of Meghalaya execute a traditional dance called Laho Dance. The Laho dance is performed during various social and cultural events, such as harvest festivals, religious ceremonies, and community gatherings.

Correct Answer: Bartolomeu Dias 

Solution : The correct answer is Bartolomeu Dias.

After establishing the southern limits of the African continent, the Portuguese explorer Bartolomeu Dias (1450–1500) became the first European mariner to go past the southern tip of Africa in 1488. This opened the way for a sea route

Correct Answer: 2, 1, 3, 4, 5

Solution : Given:
1. Stone 2. Sand 3. Rock 4. Boulder 5. Hill

The given words can be arranged as follows –
Sand forms the stone, stone forms the rock, rock forms the boulder, and boulders form the hill. 

So, 2, 1, 3,

Correct Answer: 19

Solution : Given:
9, 14, ?, 24, 29, 34

In the given series, add 5 to the previous number to get the next number.
9 + 5 = 14; 14 + 5 = 19; 19 + 5 = 24; 24 + 5 = 29; 29 + 5

Correct Answer:

Solution : According to the given figure –
1. The movement of geometrical shapes is as follows –
Square – Top right→Top left→Top centre→Top right
Triangle – Bottom left→Bottom centre→Bottom right→Bottom left
Diamond – Centre of the box→Right centre→Left centre→Centre of the box
2. The triangle rotates by

Correct Answer: over

Solution : The correct choice is the fourth option.

The phrasal verb think over is commonly used to suggest careful consideration or reflection when deciding on a plan or idea and "over" is the appropriate choice which helps in conveying the intended meaning that the