Correct Answer: 6 and 9, ÷ and +

Solution : Given:
24 × 9 + 6 ÷ 24 – 18 = 22

Let's check the given options –
First option: 18 and 22, + and –
⇒ 24 × 9 – 6 ÷ 24 + 22 = 18
Solving the

Correct Answer: 1.732

Solution : Given:
$\sqrt{3}=1.732$
$\frac{3+\sqrt{6}}{5\sqrt{3}-2\sqrt{12}-\sqrt{32}+\sqrt{50}}$
Now evaluate:
$= \frac{3+\sqrt{6}}{5\sqrt{3}-2\sqrt{4\times3}-\sqrt{16\times2}+\sqrt{25\times2}}$
$=\frac{3+\sqrt{6}}{5\sqrt{3}-4\sqrt{3}-4\sqrt{2}+5\sqrt{2}}$
$=\frac{3+\sqrt{6}}{5(\sqrt{3}+\sqrt{2})-4(\sqrt{3}+\sqrt{2})}$
$=\frac{3+\sqrt{6}}{\sqrt{3}+\sqrt{2}}$
Now multiply and divide with $\sqrt{3}-\sqrt{2}.$
$=\frac{3+\sqrt{6}}{\sqrt{3}+\sqrt{2}}\times\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}-\sqrt{2}}$
$=\frac{3\sqrt{3}-3\sqrt{2}+\sqrt{18}-\sqrt{12}}{3-2}$
$=\frac{3\sqrt{3}-3\sqrt{2}+\sqrt{9\times2}-\sqrt{4\times3}}{1}$
$=3\sqrt{3}-3\sqrt{2}+3\sqrt{2}-2\sqrt{3}$
$=3\sqrt{3}-2\sqrt{3}$
$=\sqrt{3}(3-2)$
$=\sqrt{3}$
$=1.732$
Hence, the correct answer is 1.732.

Correct Answer: Andaman Island

Solution : The correct answer is Andaman Island.

Andaman and Nicobar islands are of volcanic origin. Barren Island is the only active stratovolcano in India. It is located in Andaman Island. Recently it has erupted in May 2023. It also had small eruptions in 2017 and

Correct Answer: 1442

Solution : $\mathrm{p}-\frac{1}{\mathrm{p}}=6$
Squaring both sides, we get,
$⇒p^2+\frac{1}{p^2}-2(p)(\frac{1}{p})=36$
$⇒p^2+\frac{1}{p^2}-2=36$
$⇒p^2+\frac{1}{p^2}=38$
Squaring both sides again, we get,
$⇒p^4+\frac{1}{p^4}+2(p^2)(\frac{1}{p^2})=1444$
$⇒p^4+\frac{1}{p^4}+2=1444$
$\therefore p^4+\frac{1}{p^4}=1442$
Hence, the correct answer is 1442.

Correct Answer: 1210

Solution : Total consumption of coal of all the 6 countries = 132 + 248 + 185 + 245 + 226 + 174 = 1210
Hence, the correct answer is 1210.

Correct Answer: 11.25

Solution : A boat covers 35 km downstream in 2 h and covers the same distance upstream in 7 h.
Let the speed of the boat in still water be $x\ \text{km/h}$.
Let the speed of the stream be $y\ \text{km/h}$.
According to the question,
Speed of

Correct Answer: $c,\frac{1}{c}$

Solution : Given: $x+\frac{1}{x}=c+\frac{1}{c}$
⇒ $x-c=\frac{1}{c}–\frac{1}{x}$
⇒ $x-c=\frac{(x–c)}{xc}$
⇒ $(x-c)-\frac{(x–c)}{xc}=0$
⇒ $(x-c)[1-\frac{1}{xc}]=0$
Taking, $(x-c)=0$
⇒ $x=c$
Now, taking $[1-\frac{1}{xc}]=0$
⇒ $\frac{1}{xc}=1$
⇒ $x=\frac{1}{c}$
Hence, the correct answer is $c,\frac{1}{c}$.

Correct Answer: BDCA

Solution : The correct choice is the first option.

Sentence B introduces the idea that young people often seek advice from their elders, setting the context for the paragraph. Sentence D explains that elders are also expected to provide advice in similar situations, establishing a reciprocal relationship.

Correct Answer: Both I and II

Solution : The correct answer is Both I and II.

Both litmus and turmeric are natural acid-base indicators.

I. Litmus is a natural indicator used to test for the presence of acids or bases. It turns red in the presence of an acid

Correct Answer: 13 minutes 30 seconds

Solution : Work = Efficiency × Time
Let the capacity of the bucket be 13 units, then 4 units will be filled in 6 minutes.
then, 1 unit is filled in $\frac{6}{4}$ minutes = 1.5 minutes
So, the remaining 9 units be filled in