Correct Answer: 8

Solution : Let's check the options –
First option: 49; 49 = (7)²
Second option: 25; 25 = (5)²
Third option: 8; 8 is not a square of any number. 
Fourth option: 36; 36 = (6)²

The third option does not follow a similar

Correct Answer: 110

Solution : Given: $(x-\frac{1}{x})^2=\sqrt3$
Squaring both sides, we get,
$⇒(x-\frac{1}{x})^2=(\sqrt3)^2$
$⇒x^2+\frac{1}{x^2}–2=3$
$⇒x^2+\frac{1}{x^2}=5$
Cubing on both sides, we get,
$⇒(x^2+\frac{1}{x^2})^3=5^3$
$⇒x^6+\frac{1}{x^6}+3(x^2+\frac{1}{x^2})=125$
$⇒x^6+\frac{1}{x^6}+3\times5=125$
$⇒x^6+\frac{1}{x^6}=125-15$
$\therefore x^6+\frac{1}{x^6}=110$
Hence, the correct answer is 110.

Correct Answer: Moa Subong

Solution : The correct option is Moa Subong.

Moa Subong won the Padma Shri award for 2023 for his efforts on S&T-based innovative ways of creating Naga folk music. He is a grassroots innovator from Dimapur, Nagaland, who has developed a new wind musical instrument

Correct Answer: 2

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

The correct preposition to use in this context is "by". When describing someone sitting near or beside the roadside, the appropriate preposition is "by".

Therefore, the correct sentence should be, "Once a farmer was pulling

Correct Answer:

Solution : As per mirror image properties, closer things appear closer to the mirror in reflection.
According to the given figure, when the mirror is placed on the line MN, the left side and the right side get interchanged, i.e., the left side becomes the right and the

Correct Answer: later than

Solution : The correct choice is the first option.

Explanation:

When comparing the release time of the movie to the expected time, the appropriate comparative adverb is "later than". This construction indicates that the movie was released after the anticipated or expected time.

Therefore, the correct

Correct Answer: Gantur.

Solution : Correct Answer is Guntur

At Mahatma Gandhi Road in Guntur, Andhra Pradesh, a tower honors Muhammad Ali Jinnah, the father of Pakistan.The tower stands tall on six pillars and opens to a dome. It was constructed during the time before independence.One of the few Islamic-style

Correct Answer: Neither Conclusion I nor II follows.

Solution : Given:

Statement

A friend in need is a friend indeed.

Now, let's consider the conclusions:

I. All are friends in good times.
This conclusion does not necessarily follow from the given statement. The statement "A friend in need is a

Correct Answer: –, +, ÷, =

Solution : Given:
25 * 2 * 220 * 11 * 43

Replace * with the mathematical signs and solve the equations one by one.
Let's check the given options –
First option: +, –, ×, =
⇒ 25 + 2 – 220 ×

Correct Answer: 1717

Solution : The value of $x=\frac{\sqrt{13}+\sqrt{11}}{\sqrt{13}-\sqrt{11}} $
After rationalizing this, we get,
$ =\frac{(\sqrt{13}+\sqrt{11})(\sqrt{13}+\sqrt{11})}{(\sqrt{13}-\sqrt{11})(\sqrt{13}+\sqrt{11})} $ $=\frac{(13+2\sqrt{143}+11)}{(13-11)} =\frac{24+2\sqrt{143}}{2} =12+\sqrt{143}$
The value of $y=\frac{1}{x} =\frac{1}{12+\sqrt{143}} $
After rationalizing this, we get,
$ =\frac{(12-\sqrt{143})}{(12+\sqrt{143})(12-\sqrt{143})} =\frac{(12-\sqrt{143})}{1} =
12-\sqrt{143}$
$⇒3x^{2}-5xy+3y^{2}$
$=3(12+\sqrt{143})^{2}-5(12+\sqrt{143})(12-\sqrt{143})+3(12-\sqrt{143})^{2}$
$=3(144+24\sqrt{143}+143)-5(144-143)+3(144-24\sqrt{143}+143)$
$=3(287+24\sqrt{143})-5+3(287-24\sqrt{143})$
$=861+72\sqrt{143}-5+861-72\sqrt{143}$
$=1717$
Therefore, the value of $3x^{2}-5xy+3y^{2}$ is 1717.