Explanation

To find the ages, solve the equations:  

Let the ages be x and 12 - x.

The product is x(12 - x) = 32.

Solving x^2 - 12x + 32 = 0 gives x = 4 and x = 8

So, the ages are 4 and 8 years.

The elder child is: 8 years.

Explanation

To find the number of dishes washed in 16 minutes, we need to calculate the rate of dishes washed per minute and then multiply it by 16.

Rate = 1350 dishes/hour ÷ 60 minutes/hour = 22.5 dishes/minute

Number of dishes washed in 16 minutes = 22.5 dishes/minute x 16 minutes = 360 dishes

So, the correct answer is: 360

Explanation

Partition of Bengal was annulled by Lord Hardinge 

It was officially announced on 19 July 1905

This decision was made in response to widespread protests and riots from the Swadeshi movement, which opposed the 1905 partition.

The partition of Bengal was canceled by Lord Hardinge II.

Explanation

I was given a book by her.

Given sentence is in simple past tense and it is in active voice.

Rule:

Subject + (was/were) + V3 + Other agents

Explanation

Hard is the adjective.

It describes the quality of a noun.

Indicating that something is solid or difficult.

Explanation

EXIGENT means فوری

URGENT means فوری

Explanation

Liquid : Litre is the correct analogy.

Just as distance is measured in miles, liquid is measured in liters.

Both represent units of measurement for their respective categories.

Explanation

Kalidasa is known as the 'Shakespeare of India.'

He was a classical Sanskrit writer and poet.

He was renowned for his works like "Shakuntala" and "Meghaduta," which are celebrated for their poetic brilliance and exploration of human emotions.

Explanation

As of 2023, Australia has won the ICC Men's Cricket World Cup 6 times.

The years they won and the runner-up teams are:

1987: Australia defeated England.

1999: Australia defeated Pakistan.

2003: Australia defeated India.

2007: Australia defeated Sri Lanka.

2015: Australia defeated New Zealand.

2023: Australia defeated India.

Explanation

Brazil's ethanol industry, based on sugarcane, has made it a global leader in biofuel production.

This initiative has notably reduced greenhouse gas emissions and fossil fuel dependency.