Correct Answer: There is a direct relationship.

Solution : The correct answer is There is a direct relationship.

Demand and income are directly correlated in the case of commodities. They have a direct connection to one another. Demand will rise if there is an increase in income, and demand will

Correct Answer: $4 \sqrt{7}$

Solution : Given: $x^2-\sqrt{7} x+1=0$
Dividing both sides by $x$, we get:
⇒ $x-\sqrt{7}+\frac{1}{x}=0$
⇒ $x+\frac{1}{x}=\sqrt{7}$
Cubing both sides, we get:
⇒ $(x+\frac{1}{x})^3=(\sqrt{7})^3$
⇒ $x^3+\frac{1}{x^3}+3(x\times\frac{1}{x})(x+\frac{1}{x})=(\sqrt{7})^3$
⇒ $x^3+\frac{1}{x^3}+3\times\sqrt7=7\sqrt{7}$
⇒ $x^3+\frac{1}{x^3}=4\sqrt{7}$
Hence, the correct answer is $4\sqrt{7}$.

Correct Answer: 36 – 145

Solution : Let's check the options –
First option: 36 – 145; 36 x 4 = 144 – 1 = 143 ≠ 145
Second option: 16 – 63; 16 x 4 = 64 – 1 = 63
Third option: 91 – 363; 91 x 4

Correct Answer: 1 hour 10 minutes

Solution : Let the speed of Nikunj in still water as V (in km/h), and the speed of the stream as S (in km/h).
When Nikunj goes against the current, his effective speed
⇒ V − S = $\frac{4}{1}$ = 4 km/h
When he

Correct Answer: 2

Solution : Given: $x+\frac{1}{x}=2$
Squaring both sides, we get
⇒ $(x+\frac{1}{x})^2=2^2$
⇒ $x^2+\frac{1}{x^2}+2\times x\times\frac{1}{x}=4$
⇒ $x^2+\frac{1}{x^2}=4-2$
⇒ $x^2+\frac{1}{x^2}=2$
Again squaring both sides, we get:
⇒ $(x^2+\frac{1}{x^2})^2=2^2$
⇒ $x^4+\frac{1}{x^4}+2\times x^2\times\frac{1}{x^2}=4$
⇒ $x^4+\frac{1}{x^4}=4-2$
⇒ $x^4+\frac{1}{x^4}=2$
Hence, the correct answer is 2.

Correct Answer: Guler Paintings - Karnataka

Solution : The correct option is Guler Paintings - Karnataka

Guler Paintings are associated with Himachal Pradesh, particularly the Kangra Valley. They are known for their delicate brushwork, rich colours, and depictions of religious and mythological themes. Guler paintings are characterized by a

Correct Answer: 1

Solution : $\frac{a^2-(b-c)^2}{(a+c)^2-b^2}+\frac{b^2-(a-c)^2}{(a+b)^2-c^2}+\frac{c^2-(a-b)^2}{(b+c)^2-a^2}$
= $\frac{(a-b+c)(a+b-c)}{(a+c-b)(a+c+b)} + \frac{(b-a+c)(b+a-c)}{(a+b-c)(a+b+c)} + \frac{(c-a+b)(c+a-b)}{(b+c-a)(b+c+a)}$
= $\frac{(a+b-c)}{(a+c+b)} + \frac{(b-a+c)}{(a+b+c)} + \frac{(c+a-b)}{(b+c+a)}$
= $\frac{a+b-c+b-a+c+c+a-b}{a+b+c}$
= $\frac{a+b+c}{a+b+c}$
= $1$
Hence, the correct answer is 1.

Correct Answer: Vacuum tube

Solution : The correct answer is a Vacuum tube.

In 1908, Lee De Forest invented vacuum tubes. The first computers, large machines that filled entire rooms, were built using these antiquated electronic instruments. Vacuum tubes were used in computers' circuitry and memory, which allowed them to

Correct Answer: Kleptomania

Solution : The correct answer is the second option.

The term "kleptomaniacs" specifically refers to individuals who suffer from kleptomania, a mental disorder characterised by an irresistible urge to steal items that are often of little value and are not needed for personal use.

The meanings of

Correct Answer: 100%

Solution : Total expenditure is 1,680(in billions)
Amount of expenditure on Defence = 12% of 1680
= 0.12 × 1680
= 201.6
Amount of expenditure on Education = 6% of 1680
= 0.06 × 1680
= 100.8
Required percentage = $\frac{201.6-100.8}{100.8} × 100 $
= 100%
Hence,