Correct Answer:

Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the third option figure.

Hence, the third option is correct.

Correct Answer: 162

Solution : Given:
6, 18, 54, ?, 486, 1458

Let's apply the pattern –
6 × 3 = 18; 18 × 3 = 54; 54 × 3 = 162; 162 × 3 = 486; 486 × 3 = 1458

162 is the missing number. Hence, the fourth

Correct Answer: $\frac{2}{3}$

Solution : Given: $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \div \frac{4}{3}+\frac{1}{2}$
= $\frac{2}{3}-\frac{5}{6} \times \frac{4}{5} \times \frac{3}{4}+\frac{1}{2}$
= $\frac{2}{3}-\frac{5}{6} \times  \frac{3}{5}+\frac{1}{2}$
= $\frac{2}{3}- \frac{1}{2}+\frac{1}{2}$
= $\frac{2}{3}$
Hence, the correct answer is $\frac{2}{3}$.

Correct Answer: 1

Solution : $a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}$
$⇒a-b=\frac{1}{c}-\frac{1}{b}=\frac{b-c}{bc}...(i)$
$⇒b-c=\frac{1}{a}-\frac{1}{c}=\frac{c-a}{ac}...(ii)$
$⇒a-c=\frac{1}{a}-\frac{1}{b}=\frac{b-a}{ba}...(iii)$
Multiplying the above equations, we have,
$⇒(a-b)(b-c)(a-c)=(\frac{b-c}{bc})(\frac{c-a}{ac})(\frac{b-a}{ba})$
$⇒(a-b)(b-c)(a-c)=(\frac{(b-c)(c-a)(b-a)}{a^2b^2c^2})$
$⇒ a^2b^2c^2=(\frac{(b-c)(c-a)(b-a)}{(a-b)(b-c)(a-c)})$
$a \neq b\neq c\neq 0$
$⇒ a^2b^2c^2= 1$
Hence, the correct answer is 1.

Correct Answer: Limestone

Solution : The correct option is Limestone.

Limestone is primarily composed of calcium carbonate (CaCO₃). It frequently coexists with other sedimentary rocks, such as chalk, that contain calcium carbonate. The mineralogical compositions and the geological processes that produced these rocks are similar. They go by

Correct Answer: Kanpur

Solution : The correct answer is Kanpur.

Sarojini Naidu was elected as the first Indian woman President of the Indian National Congress in 1925. This historic event took place during the Kanpur session of the Congress. She played a significant role in the Indian independence movement

Correct Answer: I saw the dress catalogue pieces of Asha’s couture collection.

Solution : The correct choice is the fourth option.

Explanation: The word couture is used to describe high-fashion clothing that is made to order for a specific customer. In the given sentence, the correct spelling is

Correct Answer: Wealth tax

Solution : The correct answer is a Wealth tax.

Wealth tax is not considered an indirect tax; rather, it is a direct tax. The distinction between direct and indirect taxes lies in how they are imposed and who bears the ultimate economic burden of the

Correct Answer: 80

Solution : The value ratio of coins of 25 paise, 50 paise, INR 2 and INR 5 = (5 × 0.25) : (4 × 0.50) : (3 × 2) : (1 × 5)
⇒ Value ratio of coins of 25 paise, 50 paise, INR 2 and INR

Correct Answer: $\frac{7}{10}$

Solution : Given: A can do $\frac{1}{3}$ of a task in 32 days.
Total work done = Number of days × Efficiency
So, A can complete the task in 32 × 3 = 96 days
B can do $37 \frac{1}{2}$% of the same task in 24 days,