Correct Answer: House : Room

Solution : Given:
Wheel : Spoke (This depicts the relation between component and its component/part which is found inside the first term.)

First option: Chapter : Book; Book contains pages, and chapters are part of a syllabus.
Second option: Table : Chair; Table and chair

Correct Answer: $y = 4x$

Solution : Ordinate = y-axis and abscissa = x-axis
According to the question,
$y= 4x$
$⇒y- 4x= 0$
Hence, the correct answer is $y= 4x$.

Correct Answer: tumbled down

Solution : The first option is correct.

The most appropriate option to substitute the underlined segment in the given sentence is tumbled down.

Both toppled and tumbled down convey the idea that the sand castle fell or collapsed due to the force of the wind.

Correct Answer: to overcome

Solution : The correct choice is the first option.

Explanation:
Tide over means to successfully endure or overcome a difficult situation, often temporarily, by managing or surviving until the situation improves. It's like using a temporary solution to bridge a challenging period.

Correct Answer: K2

Solution : The correct option is K2.

The second-highest peak in the world is K2, also known as Mount Godwin Austen. It is located on the China-Pakistan border in the Karakoram Range of the Himalayas. K2 stands at an elevation of 8,611 meters above sea level.

Correct Answer: 6862

Solution : Here, the height of the frustum ($h$) = 18 cm
Large base radius ($R$) = 25 cm
Small base radius ($r$) = 20 cm
So, the volume of the frustum
= $\frac{\pi h}{3}(R^2+Rr+r^2)$
= $\frac{\pi×18}{3}(25^2+25×20+20^2)$
= $9150\pi\ \text{cm}^3$
Now, radius of the sphere = $\frac{2}{2}$

Correct Answer: Flute

Solution : The correct option is the flute.

Sikkil Mala Chandrasekhar is associated with the Carnatic flute. She is a renowned flautist known for her expertise in playing Carnatic classical music on the flute. The Carnatic flute, also known as the bamboo flute, is a key instrument

Correct Answer: A quality guarantee stamp for commodities

Solution : The correct answer is A quality guarantee stamp for commodities.

AGMARK is known as the Agriculture Marking on Agro products, it is a certification mark used to assure the quality of the Agricultural Products in India. It is a quality

Correct Answer:

Solution : Given:
Crops, Fields, Barley.

Barley is a type of crop which typically grown in fields, alongside other crops. Fields are the spaces where different types of crops, including barley, are planted and harvested.

Therefore, the Venn diagram will be as follows –

Hence, the fourth option

Correct Answer: 30

Solution : Given:
(I) In, a group of 73 friends, 14 friends go to Gym and Karate classes both.
(II) 7 friends neither go to Gym class nor Karate class.
(III) A total of 36 friends go to Gym class.

Solve the above–given statements by using a