Correct Answer: $\sqrt{129}$

Solution : Given: $x^4+\frac{16}{x^4}=15617$
⇒ $(x^2)^2 + (\frac{4}{x^2})^2 + 2\times x^2 \times \frac{4}{x^2} = 15617 + 2\times x^2 \times \frac{4}{x^2}$
⇒ $(x^2+\frac{4}{x^2})^2 = 15625$
⇒ $x^2 + \frac{4}{x^2} = 125$
⇒ $x^2 + (\frac{2}{x})^2 + 2\times x \times \frac{2}{x} = 125 + 2\times x\times \frac{2}{x}$
⇒ $(x+\frac{2}{x})^2

Correct Answer: 16

Solution : $a−b = 2$
$a^3-b^3=26$
⇒ $a^3-b^3$ = $(a−b)$$(a^2+ab+b^2)$
⇒ $26= 2\times (a^2+ab+b^2)$
⇒ $13 =(a^2+ab+b^2) $.........(i)
⇒ $(a−b)^2 = a^2+b^2-2ab$
⇒ $(2)^2 = a^2+b^2+ab−3ab$
Putting the value from equation (i)
⇒ $4 = 13−3ab$
⇒ $3ab = 9$
⇒ $ab =3$
$(a+b)^2 = (a−b)^2+4ab =

Correct Answer: LEB

Solution : Let's check each option –
First option: LEB; L – 7 = E, E – 3 = B
Second option: JZF; J – 10 = Z, Z + 6 = F
Third option: TJP; T – 10 = J, J + 6 = P
Fourth

Correct Answer: The hole was covered by the king with a huge stone.

Solution : The second option is the correct answer.

Passive voice is a grammatical construction where the subject of the sentence undergoes the action rather than performing it. The given sentence is an example of the active

Correct Answer: 2, 5, 4, 3, 1

Solution : Given:
1. Resign 2. Repair 3. Residue 4. Research 5. Rescue

Step 1: Since all the words start with the same letter R, so move on to the next letter.
Step 2: The second letter of each word is the

Correct Answer: 260000

Solution : X is the average of plastic bats manufactured by V, U, and T.
For V, the percentage of plastic bats is 60%.
The number of plastic bats = 0.60 × 550000 = 330000
For U, the percentage of plastic bats is 75%.
The number of

Correct Answer: 24 cm

Solution : The ratio of slant height and radius = 29 : 20
Let slant height($l$) be $29x$ and radius($r$) be $20x$.
Height, $h = \sqrt{l^2-r^2} = \sqrt{(29x)^2-(20x)^2} = \sqrt{(841-400)x^2}= \sqrt{441x^2} = 21x$
Volume of cone = $4838.4 \pi$
⇒ $\frac{1}{3} \pi r^2 h = 4838.4

Correct Answer: 4

Solution : Given: 

In the first row, 3 + 8 + 7 = 18

In the second row, 9 + 6 + 3 = 18

In the third row, 2 + 12 = 14 → 18 – 14

Correct Answer: Pataliputra

Solution : The correct answer is Patliputra.

The Mauryan empire's capital was Pataliputra, an ancient city of Patna in Bihar. Under Ashoka and Chandragupta Maurya, it attained its height of prosperity. Megasthenes, the Greek ambassador, left a detailed account of its splendour. Ajatashatru, the ruler of

Correct Answer: Pataliputra

Solution : The correct answer is Patliputra.

The Mauryan empire's capital was Pataliputra, an ancient city of Patna in Bihar. Under Ashoka and Chandragupta Maurya, it attained its height of prosperity. Megasthenes, the Greek ambassador, left a detailed account of its splendour. Ajatashatru, the ruler of