This question requires arranging a series of environmental factors into a logical sequence based on cause and effect. We need to understand how each element relates to the next, starting from the initial source and ending with the final consequence described.

Factories: The Starting Point of the Chain

The sequence typically starts with human activities that impact the environment. In this context, Factories represent industrial sources that are often involved in processes releasing substances into the environment. They serve as the initial step in this causal chain.

Carbon Emissions: Linking Factories to the Atmosphere

Industrial activities within factories frequently involve burning fuels or other processes that result in the release of gases. These released gases are termed Carbon Emissions. This step directly follows the operation of factories and represents the transfer of substances from the industrial source outwards.

Atmosphere: Where Emissions Accumulate

The Carbon Emissions generated by factories and other sources rise and mix within the Earth's Atmosphere. The atmosphere acts as the medium where these gases accumulate, influencing the overall atmospheric composition and conditions.

Global Warming: A Result of Atmospheric Changes

The increased concentration of greenhouse gases, like those from Carbon Emissions, within the Atmosphere traps more heat from the sun. This process intensifies the natural greenhouse effect, leading to a rise in the planet's average temperature, a phenomenon known as Global Warming. Thus, global warming is a direct consequence of changes in the atmosphere.

Ice Caps: A Major Impact of Global Warming

Global Warming leads to significantly higher temperatures across the globe, including in colder regions. These elevated temperatures cause substantial melting of frozen water bodies. The Ice Caps, located at the Earth's poles, are particularly sensitive to temperature increases, and their melting is a major observed effect of global warming.

Establishing the Causal Order

By analyzing the cause-and-effect relationships, we can determine the correct sequence:

• 1. Factories: Begin the process through industrial activity.
• 3. Carbon Emissions: Released from factories as a result of their operations.
• 2. Atmosphere: Receives and accumulates the carbon emissions.
• 4. Global Warming: Caused by the increased concentration of emissions in the atmosphere, leading to higher temperatures.
• 5. Ice Caps: Melt as a consequence of rising global temperatures.

Therefore, the systematic causal order is Factories -> Carbon Emissions -> Atmosphere -> Global Warming -> Ice Caps.

Arranging Words in Dictionary Sequence

The task is to arrange the given five words based on the standard dictionary order (alphabetical order). We then need to identify the correct sequence of numbers corresponding to this arrangement.

List of Words Provided:

• 1. Consolidation
• 2. Consolidated
• 3. Consolidate
• 4. Consolidator
• 5. Consolidating

Understanding Dictionary Order Rules

To arrange words in dictionary order, we compare them letter by letter from the beginning.

• If the first letters differ, the word with the letter that appears earlier in the alphabet comes first.
• If the first letters are the same, we compare the second letters, and proceed similarly.
• If one word is a prefix of another (e.g., 'apple' and 'apples'), the shorter word comes first.

Step-by-Step Word Comparison

Let's apply these rules to the given words:

All five words start with the same sequence of letters: "Consolidat".

We need to examine the letters that follow "Consolidat" or the end of the word if it's shorter.

Comparison Based on Suffixes

Let's list the words and the relevant part following the common prefix "Consolidat":

• 1. Consolidation (ends with 'ion')
• 2. Consolidated (ends with 'ed')
• 3. Consolidate (ends with 'e')
• 4. Consolidator (ends with 'or')
• 5. Consolidating (ends with 'ing')

Determining Order:

We compare the parts of the words that come after the common prefix "Consolidat".

• The word "Consolidate" (3) ends after the 'e'.
• The word "Consolidated" (2) continues with 'e' followed by 'd'.
• The word "Consolidating" (5) continues with 'i' followed by 'n'.
• The word "Consolidation" (1) continues with 'i' followed by 'o'.
• The word "Consolidator" (4) continues with 'o'.

Alphabetically, 'e' comes before 'i' and 'o'.

Comparing 'e' vs 'ed': Between "Consolidate" (3) and "Consolidated" (2), the word "Consolidate" is shorter and forms the base for "Consolidated". Therefore, "Consolidate" (3) comes first, followed by "Consolidated" (2).

Comparing 'i' vs 'o': The letter 'i' comes before 'o'. So, words 1 and 5 will come before word 4.

Comparing 'ing' vs 'ion': Now we compare "Consolidating" (5) and "Consolidation" (1). They match up to "Consolidati". The next letters are 'n' (in 5) and 'o' (in 1). Since 'n' comes before 'o' in the alphabet, "Consolidating" (5) comes before "Consolidation" (1).

Final Placement: The word "Consolidator" (4) has 'o' after "Consolidat", which comes alphabetically after 'i'. Thus, it comes last in this comparison group.

Final Dictionary Order Sequence

Combining these comparisons, the correct order of the words is determined as follows:

1. Consolidate (Word 3)
2. Consolidated (Word 2)
3. Consolidating (Word 5)
4. Consolidation (Word 1)
5. Consolidator (Word 4)

This sequence corresponds to the numbers:

The sequence is represented as: 3,2,5,1,4.

Faces opposite to each other is shown below:

1.

→ Cannot be formed (As, 6 and 2 are opposite faces. So, they cannot appear at the same time on the dice)

2.

→ Cannot be formed (As, 4 and 3 are opposite faces. So, they cannot appear at the same time on the dice)

3.

→ Can be formed.

4.

→ Cannot be formed (As, A and C are opposite faces. So, they cannot appear at the same time on the dice)

Hence, 'option 3' is the correct answer.

Correct Answer: GKF : DGA

The pattern is:

• 1st letter: −3
• 2nd letter: −4
• 3rd letter: −5

Check:

• RVT → ORO
  • R → O = −3
  • V → R = −4
  • T → O = −5
• XZB → UVW
  • X → U = −3
  • Z → V = −4
  • B → W = −5
• GKF → DGA
  • G → D = −3
  • K → G = −4
  • F → A = −5

These follow the same logic.

The others do not.

So the pairs that follow the logic are:

RVT : ORO, XZB : UVW, and GKF : DGA

If you were expected to choose just one, the question/options seem incomplete.

Relationship Analysis: How Q is Related to K

This question involves constructing a family tree based on the provided relationship clues. We need to determine the precise relationship between Q and K by carefully analyzing each statement.

Detailed Breakdown of Family Connections

Let's analyze each piece of information step-by-step:

• M is the father of O: Establishes M as the male parent of O.
• P is the sister of O: Indicates that P and O are siblings. Since M is the father of O, M is also the father of P. P is female.
• Q is the sister of M: Establishes Q as female and a sibling to M.
• N is the son of O: Indicates that N is male and is the child of O.
• R is the wife of O: Establishes that R is female and married to O. O is the husband of R.
• K is the mother-in-law of R: This is a crucial link. The mother-in-law of R is the mother of R's husband. Since O is R's husband, K is the mother of O. K is female.
• L is the husband of P: Establishes that L is male and married to P.

Establishing the Link Between Q and K

To find the relationship between Q and K, let's combine the key findings:

• From statement 6, we deduced that K is the mother of O.
• From statement 1, we know that M is the father of O.
• Since K (mother) and M (father) are the parents of O, K and M must be partners or married.
• From statement 3, we know that Q is the sister of M.

Determining the Final Relationship

Now, let's put it all together:

• K is the mother of O.
• M is the father of O, and therefore, M is the husband of K.
• Q is the sister of M.

Since Q is the sister of M, and M is the husband of K, Q is the sister of K's husband.

By definition, the sister of one's husband is the sister-in-law.

Therefore, Q is related to K as her sister-in-law.

Let’s check which word cannot be formed from the letters of ADMINISTRATION.

Letters available in ADMINISTRATION:

A(2), D(1), M(1), I(2), N(2), S(1), T(2), R(1), O(1)

Check each option:

• NATION → N, A, T, I, O, N ✅ (all available)
• DREAM → D, R, E, A, M ❌ (E is not present)
• STORM → S, T, O, R, M ✅ (all available)
• TRAINS → T, R, A, I, N, S ✅ (all available)

✅ Final Answer: DREAM

For find the opposite surface of '€', we need to compare the common surface in the given dices,

Now, symbol '€' is given in Dice 1 and Dice 2, 

So, From Dice 1 and Dice 2,

→ € is the common surface and ¥, @, ©, % is the adjacent surface.

So, the remaining '$' will be the opposite face of '€'.

Hence, the correct answer is "Option 4".

The image embedded in given figure is as shown below:

Hence, 'option 3' is the correct answer.