It's a Question of your Career!

Correct Answer: $-30 \sqrt{3}$

Solution : Given, $g=(2-\sqrt{3})$
⇒, $\frac{1}{g}=\frac{1}{2-\sqrt{3}}$
⇒ $\frac{1}{g}=\frac{2+\sqrt{3}}{(2-\sqrt{3})(2+\sqrt{3})}$
⇒ $\frac{1}{g}=2+\sqrt{3}$
$\left(g^3-\frac{1}{g^3}\right)=(g-\frac{1}{g})(g^2+\frac{1}{g^2}+g×\frac{1}{g})$
⇒ $\left(g^3-\frac{1}{g^3}\right)=(2-\sqrt{3}-(2+\sqrt{3}))((4+3-4\sqrt{3})+(4+3+4\sqrt{3})+1)$
⇒ $\left(g^3-\frac{1}{g^3}\right)=-2\sqrt{3}(15)$
⇒ $\left(g^3-\frac{1}{g^3}\right)=-30\sqrt{3}$
Hence, the correct answer is $-30\sqrt{3}$.

Correct Answer: Carlos Alcaraz

Solution : The correct option is Carlos Alcaraz.

Carlos Alcaraz won the Men's Singles Title of the US Open 2022. He defeated Casper Ruud in the final to win the title. He becomes the youngest champion after Nadal.

The US Open is one of the four

Correct Answer: 31.16%

Solution : The correct answer is 31.16%.

The total urban population in the country, as per the 2011 Census, is more than 377 million, or 31.16% of the total population. The data shows that Goa is the most urbanised state, with 62.17% of the population living in

Correct Answer: Hima Das

Solution : The correct option is Hima Das.

The Indian athlete known as Dhing Express is Hima Das. Hima Das is an accomplished sprinter from the state of Assam. She gained international recognition when she won a gold medal in the 400-metre race at the

Correct Answer: 6

Solution : Given:
90 students were traveling in a bus and the ratio of the number of boys to that of girls was 2: 1
According to the question,
2x + x = 90
3x = 90
x = 90 ÷ 3
x = 30
Therefore, Number

Correct Answer: Smell

Solution : Given:
Skin : Touch :: Nose : ?

Like, the skin is a sense organ that provides the sense of touch.
Similarly, the nose is a sense organ that provides the sense of smell.

Hence, the first option is correct.

Correct Answer: 43.2 km

Solution : Distance = Speed × Time
Given:
Speed = 6 m/s
Time = 2 hours = 7200 seconds (since 1 hour = 3600 seconds)
Substituting these values into the formula,
Distance = 6 × 7200 = 43200 m = 43.2 km
Hence, the correct answer

Correct Answer: 56°

Solution : The angle subtended by an arc of a circle at its centre is twice the angle it subtends on any point of the circle's circumference.
So, $\angle$AOC = 2 $\angle$ABC
⇒ 112°= 2 $\angle$ABC
⇒ $\angle$ABC = 56°
Also, $\angle$ABC = $\angle$ACD
⇒ $\angle$ACD =

Correct Answer: 5100

Solution : Multiply the given numbers by 3 and then add 6 to the resultant number to obtain the next number (pattern starting from 18).

(18 × 3) + 6 = 54 + 6 = 60
(60 × 3) + 6 = 180 + 6 = 186

Correct Answer: 4

Solution : Given: 
1, 4, 2, 3, 2, ?

Add the numbers first in decreasing order and then in increasing order to the numbers of the given series –

So, the missing number is 4. Hence, the third option is correct.