Correct Answer: (2)

Solution : The error lies in the second part of the sentence.

The word hanged is incorrect in this context. Both hung and hanged are the past participle forms of the verb hang. The correct verb form to use when suspending or attaching something, like a lamp, is hung.

Hanged is typically used when referring to the act of executing someone by hanging them from a noose, not for hanging objects on a wall.

Therefore, the correct sentence is: The servant hung the lamp on the wall.

Correct Answer: 24 hours

Solution : The correct option is 24 hours.

An orbital period for a geostationary satellite is equal to one sidereal day, which is the length of time it takes for the Earth to complete one rotation of its axis. It takes the Earth around 23 hours, 56 minutes, and 4 seconds to complete one revolution. In other words, a geostationary satellite orbits the planet once in the same amount of time as it takes the planet to rotate once.

Correct Answer: sharp

Solution : The fourth option is the correct choice.

The context describes tigers as powerful hunters with certain characteristics. In this context, the word sharp is a fitting choice for the blank, as it complements the idea of powerful hunters, referring to sharp teeth. This adjective adds to the description of the tiger's physical attributes, emphasising the sharpness of their teeth.

Therefore, the correct answer is sharp.

Correct Answer: Faraday and Henry

Solution : The correct answer is Faraday and Henry.

The exploration and comprehension of electromagnetic induction resulted from extensive experiments conducted by Michael Faraday and Joseph Henry. Through their observations, Faraday deduced that an electromotive force (emf) is generated when there is a dynamic change in magnetic flux across a coil over time. This groundbreaking insight laid the foundation for the principles of electromagnetic induction, influencing the development of various electrical devices and technologies.

Correct Answer: 1966

Solution : The correct answer is 1966.

The High Yielding Variety Programme (HYVP) was established in 1966 to achieve food self-sufficiency by 1970-71. The program's fundamental idea was to boost food grain productivity using the most recent crop input varieties. This program in the fourth five-year plan was a breakthrough in India's agricultural development history.

Correct Answer: 123

Solution : Given:
+ means −, − means ×, × means ÷ and ÷ means +
79 ÷ 64 × 8 − 7 + 12 = ?

After interchanging the given mathematical signs, we get –
⇒ 79 + 64 ÷ 8 × 7 – 12
⇒ 79 + 8 × 7 – 12
⇒ 79 + 56 – 12
= 123

So, 123 is the answer to the given equation. Hence, the first option is correct.

Correct Answer: (9, 45, 54)

Solution : Given:
(7, 35, 42); (4, 20, 24)

Like, (7, 35, 42)→7 × 5 = 35; 7 × 6 = 42
(4, 20, 24)→(4 × 5) = 20; 4 × 6 = 24

Let's check the options –
First option: (8, 56, 72)→8 × 5 = 40 ≠ 56; 8 × 6 = 48 ≠ 72
Second option: (6, 36, 48)→6 × 5 = 30 ≠ 36; 6 × 6 = 36 ≠ 48
Third option: (9, 45, 54)→9 × 5 = 45; 9 × 6 = 54
Fourth option: (12, 60, 48)→12 × 5 = 60; 12 × 6 = 72 ≠ 48

So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.

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, it is evident that the given question figure is embedded only in the fourth option figure.

Hence, the fourth option is correct.

Correct Answer: 209

Solution : Given:
164, 172, 145, ?, 84

Add and subtract the cube of the consecutive natural numbers (starting from 2) alternatively from the previous term to get the next term in the series.

So, 209 is the missing term in the series. Hence, the first option is correct.

Correct Answer: 11 cm

Solution : Given: The radius of a circle = 1.75 cm
Circumference of the circle = $2\pi r=2\times\frac{22}{7}\times 1.75=44 × 0.25=11\ \text{cm}$
Hence, the correct answer is 11 cm.