Correct Answer: 255

Solution : Let's check the given options –
First option: 169; (13)² = 169
Second option: 196; (14)² = 196
Third option: 255 is not a square of any number.
Fourth option: 289; (17)² = 289

So, 255 is not a square of any number. Hence, the third option is correct.

Correct Answer: Warren Hastings

Solution : The correct answer is Warren Hastings.

The Sadar Diwani Adalat, which was established in Calcutta, heard the District Diwani Adalats' appeals. To handle criminal cases, District Faujdari Adalats were set up. In Calcutta in 1772, Warren Hastings founded the Supreme Court of Revenue. The Governor General, and East India Company council members presided over the proceedings as judges, with help from local judges, and tax officers.

Correct Answer: Surjit S. Bhalla

Solution : The correct option is Surjit S. Bhalla.

Renowned economist Surjit S. Bhalla has been named the Executive Director representing India on the board of the International Monetary Fund (IMF). He takes over from the late Subir Gokarn, former RBI deputy governor, who passed away in the United States following a short illness.

Correct Answer: Malala Yousafzai

Solution : The correct answer is Malala Yousafzai.

The book We Are Displaced, authored by Malala Yousafzai in 2019, features 11 contributors. Malala describes her journey in "We Are Displaced," along with the experiences of other young women who are displaced globally. Their experiences serve as crucial reminders that girls do not give up on their ambitions for the future, even when they are compelled to leave their homes.

Correct Answer: 6 pm

Solution : Distance covered by 1st car in 1 hour = 50 km
Relative speed of car = 75 – 50 = 25 km/hr
Time = $\frac{\text{Distance}}{\text{Speed}}$ = $\frac{50}{25}$ = 2 hours
Since the 2nd car started at 4 p.m., it will meet the 1st car after 2 hours, at (4 pm + 2 hours) = 6 pm
Hence, the correct answer is 6 pm.

Correct Answer: A

Solution : Given:
(I) Four friends are playing carrom and sitting on the four sides of the carrom board.

(II) B is to the right of C. D is to the left of A.

So, A sits immediately left of C. Hence, the second option is correct.

Correct Answer: Wing

Solution : Given:
1. Wink 2. Whip 3. Weary 4. Wing 5. Weigh 6. Weather

Step 1: Compare the first letter of each word. Since all the words start with the same letter W, then move on to the next letter.
Step 2: The second letter of each word is either e, h, or i. Based on the alphabetical order of these letters, we can arrange them –  Weary, Weigh, Weather, Whip, Wink, Wing.
Step 3: Compare the third letter of (Weary, Weigh, Weather) and the fourth letter of (Wink, Wing). Wear and Weather will come before Weigh in the sequence as a comes before i in the alphabetical system. Similarly, Wing will come before Wink as g comes before k.
Step 4: Compare the fourth letter of (Wear, Weather). Wear will come before Weather in the sequence as r comes before t in the alphabetical system.
So, the sequence is Wear, Weather, Weigh, Whip, Wing, Wink.

Therefore, Whip will come fifth if they are arranged as per their order in an English dictionary. Hence, the second option is correct.

Correct Answer: × and ÷

Solution : Given:
192 × 16 + 9 – 8 ÷ 2 = 5

Let's check the given options –
First Option: × and ÷
⇒ 192 ÷ 16 + 9 – 8 × 2 = 5
Solving the L.H.S. of the equation –
= 12 + 9 – 8 × 2
= 12 + 9 – 16
= 5
Second option: + and –
⇒ 192 × 16 – 9 + 8 ÷ 2 = 5
Solving the L.H.S. of the equation –
= 192 × 16 – 9 + 4
= 3072 – 9 + 4
= 3067 ≠ 5
Third option: × and –
⇒ 192 – 16 + 9 × 8 ÷ 2 = 5
Solving the L.H.S. of the equation –
= 192 – 16 + 9 × 4
= 192 – 16 + 36
= 212 ≠ 5
Fourth option: + and ÷
⇒ 192 × 16 ÷ 9 – 8 + 2 = 5
Solving the L.H.S. of the equation –
= 192 × 1.78 – 8 + 2
= 341.76 – 8 + 2
= 335.76 ≠ 5

So, only the first option satisfies the given equation. Hence, the first option is correct.

Correct Answer: 10 cm

Solution :

AP = 3.5 cm
PC = 5 cm
DP = 7 cm
AP × PB = PC × PD
3.5 × PB = 5 × 7
⇒ PB = $\frac{35}{3.5}$
⇒ PB = 10 cm
Hence, the correct answer is 10 cm.

Correct Answer: 14.4°

Solution : Percent of exports for Turkey = 4%
Corresponding angle $=\frac{4}{100}×360°=14.4°$
Hence, the correct answer is $14.4°$.