Explanation

To convert 45 to binary:

45 ÷ 2 = 22 remainder 1

22 ÷ 2 = 11 remainder 0

11 ÷ 2 = 5 remainder 1

5 ÷ 2 = 2 remainder 1

2 ÷ 2 = 1 remainder 0

1 ÷ 2 = 0 remainder 1

Reading remainders from bottom to top: 101101

Therefore, 45 in binary = 101101.

Explanation

A solar year is approximately 365.25 days, which accounts for Earth's full orbit around the sun.

The extra ¼ day each year is why we have a leap year every 4 years.

The solar year 365 days 5 hours 48 minutes 46 seconds, also called tropical year, or year of the seasons.

Explanation

Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

Factors of 28: 1, 2, 4, 7, 14, 28

Common factors: 1, 2, 7, 14 → Highest is 14

So, HCF = 14.

Explanation

The verb prefer is correctly followed by "to" when comparing two things.

"An apple" and "a banana" are used with correct articles based on pronunciation.

Explanation

A child’s positive or negative attitude is largely shaped by their home, social, and emotional environment.

Family interactions, peer influence, and surroundings play a major role in attitude development.

Explanation

The action was either just or unjust.

This sentence correctly uses the correlative pair "either...or" for two alternatives.

It is grammatically complete and logically clear.

Explanation

Red Blood Cells (RBCs) contain hemoglobin, which binds with oxygen and transports it to body tissues.

They are the primary oxygen carriers in the circulatory system.

Explanation

To find the average speed:

Total distance = 120 km * 2 (to and fro) = 240 km

Time taken to go = 120 km / 60 km/h = 2 hours

Time taken to return = 120 km / 40 km/h = 3 hours

Total time = 2 + 3 = 5 hours

Average speed = Total distance / Total time

= 240 km / 5 hours

= 48 km/h

Explanation

A lunar year (based on 12 lunar months) is approximately 354 days, while a solar year is about 365 days.

Therefore, the lunar year is shorter by about 11 days than the solar year.

Explanation

Why has this jug been broken by you?

The structure for passive voice in present perfect tense: has/have + been + past participle.

The subject “you” becomes the agent, and “this jug” becomes the subject of the passive sentence.