Correct Answer: $\pm 10\sqrt{13}$

Solution : Given: $x^4+\frac{1}{x^4}=119$
Adding 2 on both sides,
⇒ $x^4+\frac{1}{x^4}+2=121$
⇒ $(x^2+\frac{1}{x^2})^2=121$
⇒ $(x^2+\frac{1}{x^2})=11,-11$
Since, $(x^2+\frac{1}{x^2})>0$,
⇒ $(x^2+\frac{1}{x^2})=11$
Adding 2 on both sides,
⇒ $x^2+\frac{1}{x^2}+2=13$
⇒ $(x+\frac{1}{x})^2=13$
⇒ $(x+\frac{1}{x})=\pm\sqrt{13}$
Cubing both sides,
⇒ $x^3+\frac{1}{x^3}+3(x)(\frac{1}{x})(x+\frac{1}{x})=\pm13\sqrt{13}$
⇒ $x^3+\frac{1}{x^3}+3(\pm\sqrt{13})=\pm13\sqrt{13}$
⇒ $x^3+\frac{1}{x^3}=\pm10\sqrt{13}$
Hence, the correct answer is $\pm10\sqrt{13}$.

Correct Answer: Modest

Solution : The first option is the correct answer.

In the context of the sentence, the word "pompous" suggests arrogance or excessive self-importance. "Modest" is the most suitable antonym because it denotes humility and a lack of arrogance, aligning with the idea that the person is not

Correct Answer: 78.38%

Solution : The total market price of all the articles
= 1300 + 900 + 1100 + 800 + 600 + 700 + 1200
= 6600
Total selling price of all the articles
= 700 + 400 + 700 + 600 + 500 + 400 + 400

Correct Answer: Malthus

Solution : The Correct Answer is Malthus

According to the Malthusian theory, the number of people continues to increase faster than the amount of food available until famines, war, or disease cause the population to decline. Over the previous three centuries, he thought, the human population had

Correct Answer: O > N > L > M

Solution : Loss on article L = 600 – 500 = 100
Loss on article M = 800 – 750 = 50
Loss on article N = 700 – 500 = 200
Loss on article O = 1000 – 700 =

Correct Answer: nonpolar

Solution : The correct option is nonpolar.

The chemical ethylene (C₂H₄) is nonpolar. The carbon-carbon double bond in ethylene results in a symmetrical molecular shape, and the electronegativity of the atoms involved is quite identical. Because of its symmetry and balance of

Correct Answer: + and –, 7 and 5

Solution : Given:
7 – 5 × 2 + 8 ÷ 4 = 17

Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation.
Let's check the given options –

Correct Answer:

Solution : According to the given figure series –
1. The image at the centre of the box rotates 90° in a clockwise direction.
2. All the elements (+, =, *, and triangle) move one position in an anticlockwise direction corner by corner.
So, following the above pattern,

Correct Answer:

Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the fourth option figure.

Hence, the fourth option is

Correct Answer: Bangladesh

Solution : The correct answer is Bangladesh.

Mongia port is a sea port in the Bangladesh and it is the second busiest port of Bangladesh after Chattogram port. It is located on the shores of Bay of Bengal in the Bagerhat district, Khulna Division of Bangladesh. It