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The correct answer is 8 binary digits.

Key Points

• A byte is the fundamental unit of digital data storage and is composed of 8 binary digits (bits).
• Each binary digit (bit) represents a value of either 0 or 1, making a byte capable of representing 256 unique values (2^8).
• The concept of a byte being 8 bits is universally accepted and is a standard in most computer systems and storage devices.
• Bytes are used to measure memory and storage capacity, with common units like Kilobytes (KB), Megabytes (MB), Gigabytes (GB), etc., being multiples of bytes.
• In modern computing, the term "byte" is critical for defining data size, transfer rates, and file sizes, forming the foundation of digital communication and storage systems.

Additional Information

• Option 1: 2 binary digits
• 2 binary digits, also called 2 bits, can represent only 4 unique values (2^2).
• While 2 binary digits are used in some specific cases (e.g., binary flags, small encodings), they do not constitute a byte.
• Option 2: 2 decimal digits
• Decimal digits represent values in the base-10 number system, commonly used by humans for calculations and counting.
• A byte is not defined in terms of decimal digits but rather in terms of binary digits.
• Option 4: 8 decimal digits
• 8 decimal digits refer to a sequence of numbers in the base-10 system, such as "12345678."
• While 8 decimal digits can represent larger numbers, they do not define the concept of a byte, which is based on binary representation.
• Relevance of the Term "Byte"
• The term "byte" was first used in early computer systems to standardize data grouping in memory and processing.
• Bytes are crucial in digital communication, as data is transmitted in byte-sized chunks in networks, file systems, and storage devices.
• Understanding the concept of a byte and its binary nature is fundamental for studying computer architecture and digital systems.

Given: While the group photo of a family was taken

1. The father was found to be sitting to the left of the son and right to the grandfather.

2) Mother was sitting to the right of her daughter but left to the grandfather.

Thus, Grandfather was occupying the central place.

Hence, "Option 4" is the correct answer.

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

(I) Some doctors are learned people → Follow (As authors are learned people and some doctors are authors. As some part of doctors is common with authors which whole comes in learned people, therefore it is true.)

(II) Some learned people are doctors → Follow (As authors are learned people and some doctors are authors. As some part of doctors is common with authors which whole comes in learned people, therefore it is true.)

∴ Here, Both (I) and (II) follow.​

Hence, the correct answer is "Option 4".

The correct answer is The Governor.

Key Points

• The Constitution of India does not provide any specific provision for the impeachment of the Governor. Unlike the President and other constitutional functionaries, the Governor is appointed by the President and serves at the pleasure of the President.
• The Governor can be removed by the President of India at any time, without any formal process or impeachment procedure.
• The Governor is the constitutional head of a state in India and performs duties as per the advice of the state council of ministers.
• The absence of an impeachment process for the Governor highlights the unitary nature of the Indian Constitution in certain aspects, as the central government exercises significant control over state governance through the office of the Governor.
• Article 156 of the Indian Constitution states that the Governor shall hold office during the pleasure of the President, underscoring the lack of a formal impeachment process.

Additional Information

• The Vice-President
• The Vice-President of India can be removed from office through an impeachment process, as provided in Article 67(b) of the Constitution.
• The process requires a resolution passed by a majority of the total membership of the Rajya Sabha and agreed to by the Lok Sabha.
• The Vice-President serves as the ex-officio Chairman of the Rajya Sabha.
• The Chief Justice of a High Court
• There is no direct provision for the impeachment of the Chief Justice of a High Court, but they can be removed as a part of the judiciary under the process applicable to judges of High Courts.
• According to Article 217, a judge of a High Court, including the Chief Justice, can be removed by the President on the grounds of proved misbehavior or incapacity, following a resolution passed by Parliament.
• The Chief Justice of India
• The Chief Justice of India can also be removed via the impeachment process applicable to Supreme Court judges.
• The procedure for removal is outlined in Article 124(4) and involves a detailed process of inquiry, resolution by both Houses of Parliament, and Presidential assent.
• The grounds for removal include proved misbehavior or incapacity.
• Main Theme: Removal Processes in the Indian Constitution
• The Constitution of India provides different mechanisms for the removal of constitutional functionaries based on their roles, responsibilities, and independence.
• While formal impeachment processes apply to the President, Vice-President, and judiciary, the Governor's removal is discretionary and rests with the President of India.

Given:

1) In a joint family, there are father, mother, three married sons and one unmarried daughter. 

2) Of the sons, two have two daughters each and one has a son.

∴ Here, there are 9 female members.​

Hence, the correct answer is "Option 2".

Decoding signs:

So checking each option one by one:

Option 1) 12 ÷ 5 - 4 x 5 + 4 = 22 ⇒ 12 - 5 ÷ 4 + 5 × 4 = 22

⇒ 12 - 5 ÷ 4 + 5 × 4 = 22

⇒ 12 - 1.25 + 5 × 4 = 22

⇒ 12 + 20 - 1.25 = 22

⇒ 32 - 1.25 = 22

⇒ 30.75 ≠ 22 (LHS ≠ RHS)

Option 2) 12 × 5 + 4 - 5 ÷ 4 = 20 ⇒ 12 + 5 × 4 ÷ 5 - 4 = 20

⇒ 12 + 5 × 4 ÷ 5 - 4 = 20

⇒ 12 + 5 × 0.8 - 4 = 20

⇒ 12 + 4 - 4 = 20

⇒ 16 - 4 = 20

⇒ 12 ≠ 20 (LHS ≠ RHS)

Option 3) 12 + 5 - 4 × 5 ÷ 4 = 16 ⇒ 12 × 5 ÷ 4 + 5 - 4 = 16

⇒ 12 × 5 ÷ 4 + 5 - 4 = 16

⇒ 12 × 1.25 + 5 - 4 = 16

⇒ 15 + 5 - 4 = 16

⇒ 20 - 4 = 16

⇒ 16 = 16 (LHS = RHS)

Option 4) 12 ÷ 5 + 4 - 5 × 4 = 18 ⇒ 12 - 5 × 4 ÷ 5 + 4 = 18

⇒ 12 - 5 × 4 ÷ 5 + 4 = 18

⇒ 12 - 5 × 0.8 + 4 = 18

⇒ 12 + 4 - 4 = 18

⇒ 16 - 4 = 18

⇒ 12 ≠ 18 (LHS ≠ RHS)

Hence, "Option 3" is the correct answer.

Given:

Speed from home to town = 50 km/hr

Speed for return journey = 45 km/hr

Return journey took 1 hour longer

Find distance each way

Formula used:

Time = Distance / Speed

Difference in time = 1 hour ⇒ (Distance/45) - (Distance/50) = 1

Calculations:

Let distance = D km

⇒ D/45 - D/50 = 1

⇒ (50D - 45D) / (45 × 50) = 1

⇒ 5D / 2250 = 1

⇒ 5D = 2250

⇒ D = 450 km

Answer: 450 km each way

Given:

Number = 3333

Formula used:

To find the least number to be added to make it a perfect square:

Find the smallest perfect square greater than the given number. Subtract the given number from this perfect square.

Calculation:

Find the square root of 3333:

⇒ √3333 ≈ 57.75

The next whole number greater than 57.75 is 58.

Find the square of 58:

⇒ 58 × 58 = 3364

Find the difference between 3364 and 3333:

⇒ 3364 - 3333 = 31

∴ The least number to be added to 3333 to make it a perfect square is 31.

The correct answer is option (3).

According to the given information:

Position of the tree from the left side = 7^th

Position of the tree from the right side = 14^th

Total trees = (Position from the left) + (Position from the right) - 1

Total trees = 7 + 14 - 1 = 20

Hence, the correct answer is "Option 4".

Alternate MethodIn a row of trees, a tree is 7^th from left end and 14^th from the right end.

Total number of trees = 6 (right side) + 1 (Given Tree) +  13 (Left side)

Total trees = 20

Given:

Rohan walks a distance of 3 kms towards North, then turns to his left and walks for 2 kms.

He again turns left and walks 3 kms.

At this point he turns to his left and walks for 3 kms.

Thus, Rohan is 1 km far from the starting point.

Hence, the correct answer is "Option 2".