Correct Answer: iceberg

Solution : The most appropriate choice is the second option.

Explanation: The expression the tip of the iceberg refers to a situation where a small, visible part is just an indication of a larger, hidden problem or issue.

The meanings of the other options are as

Correct Answer:

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

Hence, the third option is

Correct Answer: Goa 

Solution : Correct Answer is Goa

Goa is an Indian state that was formerly a Portuguese colony. Goa was a Portuguese overseas territory for approximately 450 years. It was part of Portuguese India until 1961 when it was ceded to India. Puducherry is a Union Territory comprising

Correct Answer: fall off

Solution : The correct option to fill in the blank is the fourth option.

Fall off: It specifically describes the action of leaves separating or detaching from the trees, which is what happens in autumn as part of the natural cycle. 

Fall down: This option doesn't

Correct Answer: 32

Solution : Given, $8 a^3+27 b^3=16$ and $2 a+3 b=4$
Consider $8 a^3+27 b^3=16$
⇒ $(2a)^3+(3b)^3=16$
⇒ $(2a+3b)(4a^2-6ab+9b^2)=16$
⇒ $(4)(4a^2-6ab+9b^2)=16$
⇒ $4a^2-6ab+9b^2=4$ ......(1)
Now, consider $2a+3b=4$
Squaring both sides, we get,
⇒ $(2a+3b)^2=4^2$
⇒ $4a^2+12ab+9b^2=16$ ......(2)
Solving (1) and (2), we get,
$18 ab=12$
⇒ $ab=\frac{2}{3}$
And,

Correct Answer:

Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear

Correct Answer: Art classes for children were being taken by a ten-year-old girl.

Solution : The correct choice is the fourth option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active voice becomes

Correct Answer: $\sqrt[6]{25}<\sqrt[3]{9}<\sqrt[4]{20}$

Solution : Given: The numbers are $\sqrt[3]{9}$, $\sqrt[4]{20}$, $\sqrt[6]{25}$.
LCM of 3, 4, and 6 = 12
$⇒ \sqrt[3]{9}=9^{\frac{1}{3}}=9^{\frac{4}{12}}=\sqrt[12]{6561}$
$⇒ \sqrt[4]{20}=20^{\frac{1}{4}}=20^{\frac{3}{12}}=\sqrt[12]{8000}$
$⇒ \sqrt[6]{25}=25^{\frac{1}{6}}=25^{\frac{2}{12}}=\sqrt[12]{625}$
By comparing these values, we get:
$\sqrt[12]{625}<\sqrt[12]{6561}<\sqrt[12]{8000}$
$⇒\sqrt[6]{25}<\sqrt[3]{9}<\sqrt[4]{20}$
Hence, the correct answer is $\sqrt[6]{25}<\sqrt[3]{9}<\sqrt[4]{20}$.

Correct Answer: sawdust is a poor conductor of heat

Solution : The correct answer is sawdust is a poor conductor of heat.

Heat conducts poorly through the sawdust. Heat is insulated by the air that is present in sawdust's tiny pores. This air prevents heat from the environment from reaching

Correct Answer: Undersea Waves

Solution : The correct answer is Undersea waves.

Tsunami are high energy tidal waves which originate under the sea because of undersea volcanic eruption. Tsunami waves are not visible in ocean water but when they strike continental shelf their height goes on increasing, having a dangerous