Given:

W Q N : V P M

J R E : I Q D

Logic: The letters are decreasing by - 1 in alphabetical order.

For, W Q N : V P M

W - 1 = V, Q - 1 = P, N - 1 = M

For, J R E : I Q D

J - 1 = I, R - 1 = Q , E - 1 = D

Now, we check each options.

Option (a): P K M : U G I (Not Follow)

P - 1 = U, K - 1 = G, M - 1 = I

Option (b): G K V : O S N (Not Follow)​

G - 1 =​ O, K - 1 =​ S, V - 1 = N

Option (c): F C H : T B Y (Not Follow)​

F - 1 =​ T, C - 1 = B, H - 1 =​ Y

Option (d): T G I : S F H (Follow)​

T - 1 = S, G - 1 = F, I - 1 = H

Thus, correct option is (d).

Given:

The number is 4723361.

Operations to be performed:

For even digits: Each even digit is divided by 2.

For odd digits: 2 is added to each odd digit.

Solution:

Let's break down the digits of 4723361:

4 (even) → 4 ÷ 2 = 2

7 (odd) → 7 + 2 = 9

2 (even) → 2 ÷ 2 = 1

3 (odd) → 3 + 2 = 5

3 (odd) → 3 + 2 = 5

6 (even) → 6 ÷ 2 = 3

1 (odd) → 1 + 2 = 3

The transformed digits are: 2, 9, 1, 5, 5, 3, 3.

The largest digit is 9.

The smallest digit is 1.

The sum of the largest and smallest digits is:

9 + 1 = 10

The correct answer is (a) May 9th.

• Maharana Pratap Jayanti is celebrated on May 9th, marking the 485th birth anniversary of the legendary Rajput king of Mewar, Maharana Pratap.

• Although he was born on May 9, 1540, according to the Julian calendar, after the calendar reform, his birth date aligns with May 19, 1540, in the Gregorian calendar.

• The Hindu lunar calendar observes the date of his birth according to the Tritiya Tithi of Jyeshtha Shukla Paksha, making the festival significant in the cultural calendar of Rajasthan and India as a whole.

• Maharana Pratap is remembered for his heroic resistance against the Mughal Empire, particularly during the Battle of Haldighati (1576), where he fought valiantly to protect Mewar’s sovereignty.

Information Booster:

• Maharana Pratap’s Lineage: He was born to Maharana Udai Singh II and Maharani Jaiwanta Bai, and belonged to the Sisodia clan of Rajputs, known for their warrior spirit.

• Struggle Against Mughal Empire: Maharana Pratap refused to accept the Mughal emperor Akbar's dominance, making him one of the earliest freedom fighters in Indian history.

• Battle of Haldighati (1576): This battle was a key event in Maharana Pratap’s resistance against Mughal forces, symbolizing courage and determination.

• Cultural Significance: Maharana Pratap is celebrated across India, especially in Rajasthan, for his unwavering dedication to independence and his heroic ideals.

• Mewar’s Independence: Unlike many Rajput rulers of his time, Maharana Pratap maintained the independence of Mewar, refusing to submit to the Mughal Empire.

Given:

Speed of the policeman = 12 km/h

Speed of the thief = 8 km/h

Time delay for the policeman = 30 minutes

Formula Used:

Relative Speed = Speed of Policeman − Speed of Thief

Solution:

Distance covered by the thief before the policeman starts 

Relative Speed = 12 - 8 = 4 km/h

Thus, the policeman will catch the thief in 60 min.

The correct answer is (c) Humanitarian Award at 72nd Miss World Festival.

• Sonu Sood will be honored with the Humanitarian Award during the 72nd Miss World Festival, recognizing his extensive philanthropic work during the COVID-19 pandemic.

• The award ceremony will take place on May 31, 2025, at the HITEX Arena in Hyderabad, Telangana.

• Key Contributions: Sood is being recognized for his immense efforts to aid migrant workers, students, and other needy individuals during the lockdown. His work included arranging transportation, providing essential services, and offering medical support.

• The Sood Charity Foundation played a crucial role in these efforts, focusing on education, healthcare, skill development, and disaster relief.

Information Booster:

• Sood Charity Foundation: Founded by Sonu Sood, the foundation has been a significant player in disaster relief, especially during the COVID-19 pandemic, providing food, shelter, medical supplies, and transport for those stranded during the lockdown.

• The Miss World Organisation: The Humanitarian Award is a prestigious recognition, with the organisation promoting ‘Beauty with a Purpose’, emphasizing global service through compassion, social welfare, and kindness. The award celebrates individuals who use their platform for the betterment of society.

• Role as Judge at Miss World: In addition to receiving the award, Sonu Sood will serve as a grand finale judge at the Miss World pageant, further cementing his international recognition.

Given:

Logic: (Sides of first figure) × 5 and (Sides of second figure) × 6

4 × 5 → 20; 3 × 6 → 18

5 × 5 → 25; 4 × 6 →24

Similarly,

6 × 5 → 30; 3 × 6 → 18

Thus, the correct option is (a) 30,18

Concept Used:

smallest number which is divisible by all number = LCM of these number

Solution:

lcm of 35,40,60 is

so the number which leaves 7 reminder when divided by 35,40,60 = lcm +7

= 840 + 7

= 847

Given:

Solid cube edge: 10 cm

Cuboid dimensions: 4 cm × 2 cm × 1 cm

Formula Used:

Volume of a cube = edge³

Correct Answer:C. Vinegar

Explanation:

Vinegar is a solution containing 5% to 8% acetic acid in water, commonly used as a preservative for pickles. Acetic acid prevents the growth of bacteria and fungi, helping to extend the shelf life of preserved foods.

Information Booster:

• Vinegar is a weak acid with a pH around 2.4 to 3.4.
• Used in pickling, cooking, and as a cleaning agent.
• Has antibacterial properties that prevent food spoilage.
• Different types include white vinegar, apple cider vinegar, and balsamic vinegar.
• Helps in marinating food and enhancing flavors.
• Also used in traditional remedies for digestion and skin care.

Additional Information:

• Oil : Used for preserving pickles by preventing air exposure, but it does not contain acetic acid.
• Salt : Helps in osmotic dehydration, reducing water content in pickles to prevent microbial growth.
• Lemon juice : Contains citric acid, which acts as a natural preservative but is different from vinegar (acetic acid).