Correct Answer: $\frac{175}{3}$

Solution : The volume of the hemispherical tank = $\frac{2}{3}\pi r^3$
= $\frac{2}{3}\times\frac{22}{7}×10.5 × 10.5 × 10.5$
= 2425.5 m³
The capacity of the tank is = 2425.5 × 1000 L
= 2425500 L
Time taken by the pipe emptied $\frac{2}{3}$ part of the tank is 

Correct Answer: To be critical or doubtful of a plan that someone is excited about

Solution : The most appropriate choice is the third option.

Explanation: The idiom pour cold water on means to discourage or dampen someone's enthusiasm or excitement about an idea or plan by expressing doubts or

Correct Answer: Sattriya

Solution : The correct answer is Sattriya.

Borgeet, a musical composition, finds its expression in the classical dance form of Sattriya. Specifically created for Madhavdev and Sankardev, these compositions are rooted in classical ragas.

Correct Answer: 12025

Solution : Given:
CAP is coded as 262413 and LOG is coded as 171022

Add 2 to the place value of the opposite letter of the first and third letters and subtract 2 from the place value of the opposite letter of the second letter of the

Correct Answer: 80

Solution : Given: A number increased by $22\frac{1}{2}$% gives 98.
Let the number be 100.
If we increase it by $22\frac{1}{2}$% we get = $(100+100×\frac{22.5}{100})=122.5$
Here, 122.5 is equivalent to 98
So, 100 is equivalent to $(\frac{98×100}{122.5})=\frac{98×100×10}{1225}=80$
Hence, the correct answer is 80.

Correct Answer: 322

Solution : $x+\frac{1}{x}=7$
Squaring on both sides,
⇒ $(x+\frac{1}{x})^2=7^2$
⇒ $x^2+\frac{1}{x^2}+2=49$
⇒ $x^2+\frac{1}{x^2}=47$
Now, $x^3+\frac{1}{x^3} = (x+\frac{1}{x})(x^2+\frac{1}{x^2}-(x×\frac{1}{x}))$
= 7 × (47 – 1)
= 322
Hence, the correct answer is 322.

Correct Answer: Safety lamp

Solution : The correct option is the Safety lamp.

Chemist Sir Humphry Davy was from England. He made several chemical discoveries, such as the mining safety lamp, by enclosing the flame in a wire mesh or glass enclosure to limit the risk of igniting flammable gases.

Correct Answer: The girl besides you

Solution : The error lies in the fourth option.

Explanation: "Beside" indicates a position next to or at the side of someone or something, while "besides" is used to mean in addition to or apart from. In this context, the intention is to convey

Correct Answer: 682

Solution : Here, the given equations follows a pattern in which the first number and the middle number in LHS becomes the tens place digit and the hundreds place digit in the answer part in RHS respectively.

⇒ 7 x 4 x 9 = 479

⇒ 9

Correct Answer: 30

Solution : Total marks of A in all 6 subjects = 180 + 240 + 360 + 360 + 60 + 330 = 1530
Total marks of B in all 6 subjects = 90 + 420 + 390 + 210 + 270 + 120 = 1500
The