Correct Answer: To respect elders

Solution : The Correct Option is To respect elders.

The Indian Constitution lays out a set of moral and civic duties known as fundamental duties. The 42nd Amendment Act of 1976 adds these duties to the Indian Constitution. India's residents are supposed to feel more

Correct Answer: 2093

Solution : Given: The total surface area of a solid hemisphere = $942\ cm^2$
$3 \pi r^2=942$
⇒ $3\times 3.14\times r^2=942$
⇒ $3.14\times r^2=314$
⇒ $ r^2=100$
⇒ $ r=10$
Volume of hemisphere = $\frac{2}{3}\pi r^3$
= $\frac{2}{3}\times 3.14\times10\times10\times10$
= $\frac{6280}{3}$
= $2093.33 \approx 2093$ cm³

Correct Answer: Loss 4.8%

Solution : Let the cost price be 100.
Marked price above 36% = 100 + 36 = 136
Discount = 30%
Selling price = $\frac{100-\text{discount %}}{100}\times$ marked price
= $\frac{100-30}{100}\times136$
= $\frac{70}{100}\times136$
= $95.2$
Loss = Cost price – selling price = 100 – 95.2 =

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 $c,\frac{1}{c}$.