Correct Answer:

Solution : Since there is a restriction on the rotation of the figure, we will check which of the option figures can exactly fit in the given question figure.
By comparison of all the option figures, only the second option figure is embedded in the given question figure.

Hence, the second option is correct.

Correct Answer:

Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the first option is correct.

Correct Answer: 60.5

Solution : According to the question,
Marks of P in geography = 88% of 75 = 0.88 × 75 = 66 marks
Marks of Q in geography = 92% of 75 = 0.92 × 75 = 69 marks
Marks of R in geography = 64% of 75 = 0.64 × 75 = 48 marks
Marks of S in geography = 80% of 75 = 0.80 × 75 = 60 marks
Marks of T in geography = 88% of 75 = 0.88 × 75 = 66 marks
Marks of U in geography = 72% of 75 = 0.72 × 75 = 54 marks
Total marks obtained by all students in Geography = 66 + 69 + 48 + 60 + 66 + 54 = 363
Average marks obtained by students in Geography = $\frac{363}{6}$ = 60.5 
Hence, the correct answer is 60.5.

Correct Answer: Joseph Salem Lelyveld

Solution : The correct answer is Joseph Salem Lelyveld.

The book "Great Soul: Mahatma Gandhi, and His Struggle with India" was written by Joseph Salem Lelyveld. It explores the life and legacy of Mahatma Gandhi, delving into various aspects of his personal, and political life, including his relationships, struggles, and contributions to India's independence movement. The book sparked controversy and was banned in some Indian states, including Gujarat, due to perceived negative portrayals of Gandhi.

Correct Answer: Neon

Solution : The correct answer is Neon.

In the modern periodic table, elements are arranged according to their atomic number. Hence, Neon comes first among the given elements, with atomic number 10 (symbol Ne). Sodium has an atomic number 11 (symbol Na), and silicon has an atomic number 14 (symbol Si). Potassium has atomic number 19 and is represented by the symbol K.

Correct Answer: (13, 19, 64)

Solution : Given:
(13, 14, 54); (15, 18, 66)

Like, (13, 14, 54)→(13 + 14) × 2 = 27 × 2 = 54
(15, 18, 66)→(15 + 18) × 2 = 33 × 2 = 66

Let's check the options –
First option: (11, 13, 52)→(11 + 13) × 2 = 24 × 2 = 48 ≠ 52
Second option: (15, 17, 66)→(15 + 17) × 2 = 32 × 2 = 64 ≠ 66
Third option: (13, 19, 64)→(13 + 19) × 2 = 32 × 2 = 64
Fourth option: (12, 34, 90)→(12 + 34) × 2 = 46 × 2 = 92 ≠ 90

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: 1815

Solution : The correct answer is 1815

Ram Mohan Roy, a prominent social reformer, established the Atmiya Sabha in 1815 in Kolkata (then Calcutta) and the Unitarian Community to combat social evils and promote educational reforms in India.

Correct Answer: 260

Solution : Let the quantity of wheat Arbind sells at 9% profit be $\text{x}$ kg.
The remaining quantity he sells at 19% profit is = $650 - \text{x}$  kg
The profit obtained from selling the first part at 9% profit is = $0.09\text{x}$ kg
The profit obtained from selling the second part at 19% profit is = $0.19(650 - \text{x})$ kg
According to the question,
$0.09\text{x} + 0.19(650 - \text{x}) = 0.15 \times 650$
$⇒0.09\text{x} + 0.19 \times 650 - 0.19\text{x} = 97.5$
$⇒-0.1\text{x} + 123.5 = 97.5$
$⇒-0.1\text{x} = -26$
$\therefore \text{x} = 260$
Hence the correct answer is 260 kg.

Correct Answer: Astronomer

Solution : Given:
Field : Farmer :: Observatory : ?

Like in, Field : Farmer → Farmer works in a Field.
Similarly, follow the same pattern for  Observatory : ?→Astronomer works in an observatory;

Therefore, the observatory is related to astronomers. Hence, the second option is correct.

Correct Answer: 38 : 55

Solution : From the given table,
Total number of pages printed by printer D on Friday and Sunday together = 206 + 326 = 532
And, Total number of pages printed by printer A on Friday and Saturday together = 350 + 420 = 770
Required Ratio = 532 : 770 = 38 : 55
Hence, the correct answer is 38 : 55.