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Correct Answer: Rajput Dynasty

Solution : The correct answer is the Rajput Dynasty.

Ananga Pala, renowned for his military acumen, was a prominent figure in the Rajput Dynasty. He is celebrated for his successful military expeditions against neighbouring kingdoms. Credited as the founder of Dhillika Puri, which later evolved into

Correct Answer: (29, 180)

Solution :  Given:
(15, 96); (35, 216)

Here, (15, 96)→(15 + 1) × 6 = 16 × 6 = 96
(35, 216)→(35 + 1) × 6 = 36 × 6 = 216

Let's check the options –
First option: (41, 250)→(41 + 1) × 6 =

Correct Answer: 32.22

Solution : Given
An average of 20 numbers = 32
Total of 32 numbers = 20 × 32 = 640
After removing 29 and 31 new total = 640 – (29 + 31) = 640 – 60 = 580
$\therefore$ New average = $\frac{580}{18}=32.22$
Hence, the correct

Correct Answer: To be in charge

Solution : The most appropriate choice is the first option.

In the sentence, it suggests that the country's nationalists are in control and making decisions, particularly related to job assignments. Rule the roost is an idiom that means being in a dominant or controlling

Correct Answer: $\frac{x^{256}-1}{x-1}$

Solution : Given: $(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{8}+1)(x^{4}+1)(x^{2}+1)(x+1)$
Multiplying $(x-1)$ in both numerator and denominator,
$\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{8}+1)(x^{4}+1)(x^{2}+1)(x+1)(x-1)}{(x-1)}$
Using identity: $(a^2-b^2)=(a-b)(a+b)$,
= $\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{8}+1)(x^{4}+1)(x^{2}+1)(x^2-1)}{(x-1)}$
= $\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{8}+1)(x^{4}+1)(x^4-1)}{(x-1)}$ 
= $\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{8}+1)(x^8-1)}{(x-1)}$
= $\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{16}-1)}{(x-1)}$
= $\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{32}-1)}{(x-1)}$
= $\frac{(x^{128}+1)(x^{64}+1)(x^{64}-1)}{(x-1)}$
= $\frac{(x^{128}+1)(x^{128}-1)}{(x-1)}$
= $\frac{(x^{256}-1)}{(x-1)}$
Hence, the correct answer is $\frac{(x^{256}-1)}{(x-1)}$.

Correct Answer: 3

Solution : The correct choice is the third option.

Explanation: The error is due to verb consistency, as "were laid" should be replaced with "are laid", as the sentence is in the simple present tense. 

Therefore, the correct sentence would be: "No country can long

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Correct Answer: Cuscuta

Solution : The correct option is Cuscuta.

Dodder seedlings make contact with a host plant and then put forth haustoria, which are specialised structures that enter the host plant's tissues. Dodder uses the haustoria to suck water and nutrients from the host plant, thus parasitizing it.

Correct Answer: cut down

Solution : The correct choice is the fourth option.

Explanation: In the context of smoking, the most common and suitable phrase is cut down on smoking. Cut down is the standard and commonly used phrase to mean reducing the quantity or frequency of an activity like

Correct Answer: Maharashtra

Solution : Correct Answer is Maharashtra

 In accordance with the plan, unskilled labor would be employed to carry out beneficial work for the community as a whole. During the drought, the EGS started in 1972. But in 1977, the Maharashtra Legislative Assembly unanimously approved it as a