Given:

The greatest four-digit number that is a perfect square.

Solution:

99²​ = 9801

Therefore, the greatest four-digit number that is a perfect square is 9801.

The correct answer is: (d) 5 m/s

Explanation:

The average speed is defined as the total distance traveled divided by the total time taken.

• Total distance = 150 m + 100 m = 250 m
• Total time = 40 s + 10 s = 50 s

Thus, the average speed is:

Information Booster:

• The displacement is the straight-line distance between the initial and final positions, which is 50 m.

• Average speed considers the total path length traveled, not just the displacement.

• The formula for average speed is different from that for average velocity.

• Displacement only considers the starting and ending points, while speed considers the entire path taken.

The correct answer is (C) Karnataka

• Karnataka topped the India Justice Report (IJR) 2025 rankings for large and mid-sized states, retaining its first-place position from 2022.

• Andhra Pradesh followed in second, rising from 5th in the previous report.

• The rankings are based on five pillars: police, judiciary, prisons, legal aid, and human rights, and consider factors like human resources, budgets, and infrastructure.

Information Booster:

• The India Justice Report is published with support from Tata Trusts and partners like DAKSH, CHRI, and Vidhi Centre for Legal Policy.

• It uses government data and is considered India's only comprehensive justice system index.

• The Rule of Law Index 2024 ranked India 79 out of 142 globally.

• Karnataka’s consistent top ranking reflects improvements in legal aid, policing, and court infrastructure.

• Uttar Pradesh and West Bengal ranked lowest (17th and 18th, respectively).

The correct answer is D) Vienna.

Explanation:

• OPEC's headquarters is located in Vienna, Austria.

Information Booster:

• OPEC: Established in 1960 to coordinate and unify petroleum policies.
• Founding members: Iran, Iraq, Kuwait, Saudi Arabia, and Venezuela.
• Current Secretary-General: Haitham Al Ghais (since 2025).
• Headquarters: Located in Vienna, Austria.
• Biggest Contributor: Saudi Arabia is the biggest contributor in OPEC in terms of oil production and reserves.
• GDP Contribution: OPEC members hold significant global oil reserves and contribute heavily to global oil production. Their combined GDP varies but is heavily influenced by global oil prices.
• Key Member Countries: Saudi Arabia, Iraq, Iran, UAE, Kuwait, Venezuela, etc.

Correct Answer is: 

In option (a), (b), (c) Second figure shapes are mirror image of first figure (in not exactly) but in option (d) lower image is not mirror image (water image) of upper image.

Thus, correct option is (d).

Given equation is solve by BODMAS rule.

New equation is: 27 + 288 × 2 - 2 - 22 ÷ 2 = ?

= 27 + 288 ×× 2 - 2 - 11

= 27 + 576 - 2 - 11

= 603 - 2 - 22

= 601 - 11

= 590

Thus, correct option is (c).

Given:

Food: 30% of salary

House Rent: 10% of salary

Entertainment: 7% of salary

Conveyance: 6% of salary

Savings = Rs. 1,880

Solution:

Let Ram's salary be S

Total Expenditure = 30% + 10% + 7% + 6% = 53% of salary

Savings = 100 - 53 = 47% of the salary

Now,

Given:

Speed of A = 16 m/sec

Start given to B = 15 metres

A beats B by 10 seconds

Total distance of the race = 400 metres

Concept Used:

Time = Distance / Speed.
The effective distance covered by A and B is the same, but A takes 10 seconds less to complete the race.
Using the relationship between time, distance, and speed, we can calculate the speed of B.

Solution:

Time taken by A to complete the race:

Time = Distance / Speed = 400 / 16 = 25 seconds

Time taken by B to complete the race:

Time = 25 + 10 = 35 seconds

Effective distance covered by B:

Distance = Total distance - Start given = 400 - 15 = 385 metres

Speed of B:

Speed = Distance / Time = 385 / 35 = 11 m/sec

Logic: Inner figure is rotating anti clock wise direction at 90 degree.

Thus, correct option is (a).