Correct Answer is: both of above

Solution:

Case 1: Product of Two Irrational Numbers Resulting in an Irrational Number

Example:

​Here, the product is rational.

Since the product of two different irrational numbers can be either rational or irrational.

Thus, the correct answer is (c).

Correct Answer is: Mother’s brother’s wife’s father

Given: 'A + B' means 'A is the mother of B'

Expression: M ÷ N × P - S + T

According to the given information, Family tree of given expression will be:

As per the family tree, M is the Mother’s brother’s wife’s father of T.

Thus, the correct option is (b) Mother’s brother’s wife’s father

Correct Answer is: Only I follows

Explanation:

The problem is that long queues are forming on the last two days of bill payment, causing inconvenience to citizens. Course of action (I) directly addresses this issue by suggesting additional payment counters, which will help reduce the waiting time and ease the burden on citizens. Therefore, I logically follows.

Course of action (II) suggests increasing the penalty after the last date, but this does not resolve the issue of long queues. Instead, it may create additional problems for consumers who genuinely face difficulties in making timely payments. Hence, II does not follow.

Information Booster:

A well-structured approach to problem-solving in such cases includes increasing service capacity (like setting up more counters) rather than imposing stricter penalties, which do not directly address the root cause.

Online payment options, extended working hours on peak days, or staggering due dates for different consumers could also be potential solutions.

Additional Information:

Option B (Both I and II follow) is incorrect because increasing the penalty does not resolve the issue.

Option C (Only II follows) is incorrect because increasing the penalty does not help reduce long queues.

Option D (Neither I nor II follows) is incorrect because setting up additional counters is a practical and effective solution.

Correct Answer is: 125

Given: 225 B 15 A 15 C 125 D 225 = ?

Given equation is solve by BODMAS rule.

New equation is 225 ×​ 15 ÷​ 15 + 125 - 225 = ?

225 ×× ​1 + 125 - 225 = ?

225 + 125 - 225 = ?

350 - 225 = ?

? = 125

Thus, correct option is (a).

Correct Answer: (A) Odisha

Explanation:

• In February 2023, the Archaeological Survey of India (ASI) discovered a 1,300-year-old Buddhist stupa in the Jajpur district of Odisha.
• The stupa was found at the Lalitgiri site, which is part of the Diamond Triangle of Odisha, known for its Buddhist heritage.
• It is believed to date back to the 8th or 9th century CE and is linked to the ancient Mahayana Buddhist tradition.

Key Points:

• Lalitgiri, Ratnagiri, and Udayagiri form Odisha’s Buddhist Diamond Triangle.
• The excavation revealed terracotta tablets, sculptures, and relics related to Buddhism.
• Odisha has many Buddhist sites, including Dhauligiri and Langudi Hills.
• ASI continues to explore and preserve ancient Buddhist heritage in the region.

Additional Information:

• West Bengal: Important for Buddhist sites like Jagjivanpur, but not the location of this discovery.
• Madhya Pradesh: Known for Sanchi Stupa, but this discovery was in Odisha.
• Bihar: Important for Nalanda and Bodh Gaya, but not related to this find.

Correct Answer is: 6

Given: 'RUIN' is coded as '3719' and 'RUNG' is coded as '7916'.

Logic: Direct coding.

R, U and N are common in both while 7, 1 and 9 are common in both.

So, the code of G is 6.

Thus, correct option is (b).

Correct Answer is: GPHM

Given: UDVA is related to CLDI and AJBG is related to IRJO with same logic.

Logic: Letters are increasing + 8 place in English alphabetical order.

For, UDVA → CLDI

U + 8 → C, D + 8 → L, V + 8 → D, A + 8 → I

For, AJBG → IRJO

A + 8 → I, J + 8 → R, B + 8 → J, G + 8 → O

Similarly,

YHZE → ?

Y + 8 → G, H + 8 → P, Z + 8 → H, E + 8 → M

So, YHZE is related to GPHM.

Thus, correct option is (a).

Correct Answer is: 35

Given: 18 A 6 B 11 C 8 D 6 = ?

Given equation is solve by BODMAS rule.

New equation: 18 ÷​ 6 ×​ 11 + 8 - 6 = ?

3 × 11 + 8 - 6 = ?

33 + 8 - 6 = ?

41 - 6 = ?

? = 35

Thus, correct option is (a).

Given:

(Left) + 2 $ Q = Y L A S S X L / % 9 T \ = X H 6 ? (Right)

Logic: symbol / numbers / letter.

So, only ONE pair have a given series symbol / numbers / letter.

Thus, the correct option is: (b) One

The Correct Answer is: (d) Jyotiraditya M Scindia

Explanation:

The International 6G Symposium held on 16 October 2024 was inaugurated by Union Minister Jyotiraditya M. Scindia, Minister of Communications. He emphasised the transformative potential of 6G technology in enhancing India's economic growth, innovation capacity, and global leadership in telecommunications. The event brought together global stakeholders to deliberate on 6G development, policy frameworks, and collaboration.

Information Booster:

• India is aiming to commercially launch 6G by 2030 as per the Bharat 6G Vision

• The Bharat 6G Vision Document was unveiled by PM Modi in March 2023

• 6G will offer ultra-low latency, high-speed connectivity, and ubiquitous AI integration

• The symposium promotes international collaboration in telecom technologies

• The Department of Telecommunications (DoT) and TSDSI were key organisers

• 6G is seen as crucial to Industry 4.0, smart cities, and AI-powered infrastructure