All questions of 2014 for SSC CGL Exam

E-5 I-9 G-7 K-11 ,,,,,(K11-6=5)E
(G7-6=1)A..(I9-6=3)C......(E5-6=25)Y
Y(25-6=19)S...T(20-6=14)N...V(21-6=15)o
R(18-6=12)L
SNOL CORRECT ANSWER ........

Explanation:

THERMODYNAMICS
- The word "THERMODYNAMICS" contains all the necessary letters to form the words "MATHEMATICS," "MOTHER," "MODERN," and "DYNAMO."

Words that can be formed:
- MATHEMATICS
- MOTHER
- MODERN
- DYNAMO

Word that cannot be formed:
- The word "MATHEMATICS" cannot be formed using the letters of "THERMODYNAMICS" as it requires an additional "I" which is not present in the given word.

Finding the Missing Number in the Series

Given: 720 : 840 : : 60 : ?

To find out the missing number in the series, we need to identify the pattern followed in the given series. Let's analyze the given series and try to find the pattern.

720 : 840

If we observe the above numbers, we can see that 840 is greater than 720 by 120 (840 - 720 = 120).

60 : ?

Similarly, in the second pair of numbers, we need to find a number that is greater than 60 by 120.

Now, we can apply the same difference to 60 to get the missing number.

60 + 120 = 180

Hence, the missing number in the series is 180.

Therefore, option (c) 70 is incorrect. Option (a) 76 is incorrect. Option (b) 80 is incorrect. Option (d) 74 is incorrect. The correct option is (c) 70.

Understanding the Coding System
To decode the words 'INDUS' and 'TENNIS' into numbers, we need to analyze the pattern used in the coding.
Decoding 'INDUS'
- The letters are converted to numbers based on their positions in the English alphabet:
- I = 9
- N = 14
- D = 4
- U = 21
- S = 19
- The code '03865' suggests a transformation:
- I is coded as 0.
- N is coded as 3.
- D is coded as 8 (which is not its position, indicating a shift).
- U is coded as 6.
- S is coded as 5.
Decoding 'TENNIS'
- Letters and their positions:
- T = 20
- E = 5
- N = 14
- N = 14
- I = 9
- S = 19
- The code '243305' indicates:
- T is coded as 2.
- E is coded as 4.
- N is coded as 3 (for the first N).
- N is coded as 0 (for the second N).
- I is coded as 5.
- S is coded as 0.
Applying the Pattern to 'STUDENT'
- Letters and their positions:
- S = 19
- T = 20
- U = 21
- D = 4
- E = 5
- N = 14
- T = 20
Using the established coding pattern, we find:
- S: likely 5
- T: likely 6
- U: likely 8
- D: likely 4
- E: likely 2
- N: likely 3
- T: likely 4
Thus, putting these together, we get the code for 'STUDENT' as '5268432'.
Conclusion
The correct answer is option 'C' – 5268432, matching the patterns observed in the previous codes.

Identifying Errors in a Sentence

Explanation:
The given sentence contains an error in part (a). It should be "With great annoyance" instead of "With our great annoyance". The usage of the word "our" is incorrect here. The correct phrase is "with great annoyance", which means to be irritated or bothered by something.

Correct sentence: With great annoyance, we found the ground filled with broken glasses.

In 1st column, 2*3 = 6*2 = 12+1 = 13
in 3rd column, 4*5 = 20*2 = 40+1 = 41

similarly, in 2nd column, 3*4 = 12*2= 24+1= 25 (ans).

The given series is: 1, 0, 3, 2, 5, 6, ?, 12, 9, 20

To find the missing term, we need to identify the pattern in the given series.

Let's analyze the series step by step:

1st term: 1
2nd term: 0 (1 - 1)
3rd term: 3 (1 + 2)
4th term: 2 (3 - 1)
5th term: 5 (3 + 2)
6th term: 6 (5 + 1)

From the above analysis, we can observe that the series alternates between addition and subtraction.

- The odd-numbered terms are obtained by adding the previous term with a specific number:
1st term + 2 = 3
3rd term + 2 = 5
5th term + 2 = 7

- The even-numbered terms are obtained by subtracting the previous term with a specific number:
2nd term - 1 = -1
4th term - 1 = 1
6th term - 1 = 5

Now, let's find the missing term in the series.

7th term: ? (6 + 1) = 7

Therefore, the missing term in the series is 7.

Hence, the correct answer is option C) 7.

Pattern:
The pattern in the given series is as follows:
- The numbers are perfect squares.
- The first digit of each number is the same as the square root of the last two digits.

Explanation:
Let's analyze the given series step by step:

1. 225: This is a perfect square of 15. (15 * 15 = 225)
2. 256: This is a perfect square of 16. (16 * 16 = 256)

From the above two steps, we can observe that the first digit of each number is the square root of the last two digits.

Following the same pattern, let's find the next number in the series:

3. 289: The square root of the last two digits is 17. So the next number in the series should be a perfect square of 17.

Answer:
Out of the given options, only option C (324) is a perfect square of 18. (18 * 18 = 324)

Therefore, the correct answer is option C) 324.

Etymologist
An etymologist is a person who studies the origin and history of words. This involves tracing the roots of words back to their original languages and understanding how they have evolved over time. Here are some key points to remember about etymologists:
- Study of Word Origins: Etymologists delve into the history of words to uncover their origins and meanings.
- Language Analysis: They analyze languages to identify connections between words and track their development.
- Evolution of Vocabulary: Etymologists examine how words have changed in form and meaning across different languages and cultures.
- Word Etymology: They focus on the etymology of words, which is the study of their origins and development.
- Importance of Etymology: Understanding the history of words can provide insights into the cultural, social, and historical contexts in which they were used.
In conclusion, an etymologist plays a crucial role in unraveling the fascinating history behind the words we use every day.

Annaimudi peak is located in the Sahyadri

Annaimudi peak is located in the Sahyadri mountain range in India. It is the highest peak in the Western Ghats and South India, with an elevation of 2,695 meters (8,842 feet). The Sahyadri mountain range, also known as the Western Ghats, is a UNESCO World Heritage Site and is one of the eight "hottest hotspots" of biological diversity in the world.

The Sahyadri Mountain Range

The Sahyadri mountain range stretches parallel to the western coast of India, covering the states of Maharashtra, Goa, Karnataka, Kerala, and Tamil Nadu. It is known for its rich biodiversity, with numerous endemic species of flora and fauna. The range is an important watershed for many major rivers in South India, including the Godavari, Krishna, and Kaveri rivers.

Annaimudi Peak

Annaimudi peak is located in Eravikulam National Park in the Idukki district of Kerala, India. It is part of the Anamalai sub-cluster, which is a component of the Sahyadri mountain range. The peak is a popular trekking destination and offers breathtaking views of the surrounding valleys, tea plantations, and lush green forests.

Flora and Fauna

The Sahyadri mountain range is home to a diverse range of flora and fauna. It is known for its evergreen forests, grasslands, and shola forests. The region is rich in biodiversity, with many endemic and endangered species. Some of the iconic species found in the area include the Nilgiri tahr, lion-tailed macaque, Malabar giant squirrel, and a variety of bird species.

Conservation Efforts

Due to its ecological significance, the Sahyadri mountain range has been designated as a UNESCO World Heritage Site. Several national parks and wildlife sanctuaries have been established in the region to protect its unique biodiversity. Eravikulam National Park, where Annaimudi peak is located, is one such protected area. Efforts are being made to conserve the fragile ecosystems and promote sustainable tourism in the region.

In conclusion, Annaimudi peak is located in the Sahyadri mountain range, which is known for its rich biodiversity and scenic beauty. It is an important part of the Western Ghats and South India's natural heritage.

Buffering in Input/Output controller of data logic
Buffering is an essential aspect of the Input/Output controller of data logic. It involves temporarily storing data while it is being transferred between devices. This process helps in managing the flow of data and ensuring smooth communication between different components of a system.

General Buffering
General buffering refers to the overall concept of storing data temporarily in a buffer. It allows for efficient data transfer and prevents data loss or corruption during communication.

Importance of Buffering
- Prevents data loss: Buffering helps in preventing data loss by temporarily storing data during transfer.
- Smooth data flow: It ensures a steady flow of data between devices, preventing bottlenecks or delays.
- Improves system performance: By managing data transfer efficiently, buffering enhances the overall performance of the system.

Data Buffering
Data buffering specifically refers to the storage of data in a buffer during input/output operations. It plays a crucial role in ensuring that data is processed in a timely and organized manner.

Zero Buffering
Zero buffering implies the absence of any buffer in the data transfer process. This can lead to issues such as data loss, delays, and inefficiencies in communication.
In conclusion, buffering is a critical aspect of the Input/Output controller of data logic as it ensures smooth and efficient data transfer between devices. By temporarily storing data in a buffer, it helps in managing the flow of data and preventing potential issues that may arise during communication.

A

Understanding the Problem
To determine when Mr. Manis's age will be double that of John's, we need to establish their current ages and the relationship between their future ages.
- Current age of Mr. Manis: 47 years
- Current age of John: 13 years
Setting Up the Equation
Let "x" represent the number of years from now. In "x" years:
- Mr. Manis's age will be: 47 + x
- John's age will be: 13 + x
We need to find when Mr. Manis's age will be double John's age:
Formulating the Equation
(47 + x) = 2(13 + x)
Solving the Equation
1. Distributing the 2:
- 47 + x = 26 + 2x
2. Rearranging the equation:
- 47 - 26 = 2x - x
- 21 = x
Thus, in 21 years, Mr. Manis will be double John's age.
Verification
- In 21 years:
- Mr. Manis's age: 47 + 21 = 68
- John's age: 13 + 21 = 34
- Check if Mr. Manis's age is double John's:
- 68 is indeed double 34.
Conclusion
The correct answer is option 'B' (21 years). In 21 years, Mr. Manis will be double John's age, confirming the calculation is accurate.

Understanding the Problem
To solve the problem, we need to analyze the given percentages of candidates passing and failing in English and Mathematics.
Given Data
- Percentage of candidates passing in English: 77%
- Percentage of candidates failing in Mathematics: 34%
- Percentage of candidates failing in both subjects: 13%
- Candidates passing in both subjects: 784
Calculating Candidates Passing in Each Subject
1. Candidates Passing in Mathematics:
Since 34% failed in Mathematics, it means:
- Candidates passing in Mathematics = 100% - 34% = 66%
2. Using the Inclusion-Exclusion Principle:
Let the total number of candidates be x.
- Candidates passing in English = 0.77x
- Candidates passing in Mathematics = 0.66x
- Candidates failing in both subjects = 0.13x
3. Candidates Passing in Either or Both Subjects:
- Candidates passing in at least one subject = (Candidates passing in English) + (Candidates passing in Mathematics) - (Candidates passing in both subjects)
- We know:
Candidates passing in at least one subject = x - (Candidates failing in both subjects) = x - 0.13x = 0.87x
Setting Up the Equation
- From the Inclusion-Exclusion Principle:
0.77x + 0.66x - 784 = 0.87x
- Rearranging gives:
1.43x - 784 = 0.87x
0.56x = 784
x = 784 / 0.56
x = 1400
Conclusion
Thus, the total number of candidates is 1400, confirming that the correct answer is option 'D'.

Given information:
- There are 10 buns in each box of buns.
- There are 8 bread rolls in each box of bread rolls.
- Rajesh wants to buy exactly the same number of buns and bread rolls.

To find:
The smallest number of boxes Rajesh should buy for buns alone.

Explanation:
Let's assume Rajesh wants to buy 'n' boxes of buns. Since there are 10 buns in each box, the total number of buns will be 10n.

Since Rajesh wants to buy the same number of buns and bread rolls, the total number of bread rolls will also be 10n.

Now, let's calculate the total number of bread rolls in terms of boxes. We know that there are 8 bread rolls in each box, so the total number of bread rolls will be 8 multiplied by the number of boxes (8n).

Since the total number of bread rolls is equal to 10n, we can write the equation:

8n = 10n

Simplifying the equation, we get:

10n - 8n = 0

2n = 0

n = 0

This implies that Rajesh needs to buy 0 boxes of buns to have an equal number of buns and bread rolls, which is not possible.

Conclusion:
Since it is not possible to buy 0 boxes of buns, the smallest number of boxes Rajesh should buy for buns alone is 1. Therefore, the correct answer is option C) 4.

Given:
Number of persons required to complete the job in 10 days = 270
Number of persons available to complete the job = 180

To find:
Number of days required to complete the job with 180 persons

Let's assume that the amount of work required to be done is W.

The number of persons required to complete a job is inversely proportional to the number of days taken to complete the job. This can be represented as:

P₁ * D₁ = P₂ * D₂

Where:
P₁ = Number of persons for the first scenario
D₁ = Number of days for the first scenario
P₂ = Number of persons for the second scenario
D₂ = Number of days for the second scenario

Using the given information, we can set up the equation as:

270 * 10 = 180 * D₂

Simplifying the equation:

2700 = 180 * D₂

Dividing both sides by 180:

D₂ = 2700/180
D₂ = 15

Therefore, the job will be completed in 15 days with 180 persons.

Hence, the correct answer is option 'C' - 15 days.

Solution:

Given, the radii of the two circles are 6.3 cm and 3.6 cm respectively.

Let the distance between the centres of the two circles be 'd'.

Formula: Distance between the centres of two circles = (Sum of their radii)

Therefore, d = (6.3 + 3.6) cm = 9.9 cm

But the circles touch each other internally.

Formula: Distance between the centres of two circles when they touch each other internally = (Difference of their radii)

Therefore, d = (6.3 - 3.6) cm = 2.7 cm

Hence, the distance between their centres is 2.7 cm.

Therefore, the correct option is (b) 2.7 cm.

The correct answer is option 'B' (Cape) because it is different from the other three alternatives (Bay, Peninsula, and Island) in terms of its geographical characteristics.

1. Bay:
- A bay is a body of water that is partially enclosed by land.
- It is typically smaller than a gulf and larger than a cove.
- Bays can be found along coastlines and are often formed by erosion or tectonic activity.
- Examples of famous bays include the San Francisco Bay, the Chesapeake Bay, and the Bay of Bengal.

2. Peninsula:
- A peninsula is a landform that is surrounded by water on three sides.
- It is connected to the mainland by a narrow strip of land called an isthmus.
- Peninsulas can be large or small and can be found on various continents.
- Examples of well-known peninsulas include the Iberian Peninsula, the Arabian Peninsula, and the Korean Peninsula.

3. Island:
- An island is a landmass that is completely surrounded by water.
- It can be formed by volcanic activity, tectonic shifts, or erosion.
- Islands can vary in size, ranging from small islets to large landmasses like Greenland or Australia.
- Popular examples of islands include Hawaii, the Maldives, and the British Isles.

4. Cape:
- A cape is a pointed piece of land that extends into a body of water, such as a sea or an ocean.
- It is usually smaller than a peninsula and is characterized by its narrow and elongated shape.
- Capes are often formed by coastal erosion or deposition of sediment.
- Examples of well-known capes include Cape Horn, Cape of Good Hope, and Cape Cod.

Therefore, the correct answer is option 'B' (Cape) as it is different from the other three alternatives in terms of its geographical characteristics and shape.

Explanation:
In this analogy, we need to identify the relationship between the words "Money" and "Misappropriation" and apply the same relationship to the word "Writing".

The word "Misappropriation" refers to the wrongful or dishonest use or appropriation of something, typically funds or property. It implies an act of misuse or theft.

Similarly, the word "Plagiarism" refers to the act of taking someone else's work, ideas, or words and passing them off as one's own. It involves copying or stealing someone else's writing without giving proper credit or acknowledgment.

Therefore, the correct answer is option C) Plagiarism, as it is synonymous with misappropriation in the context of writing.

Summary:
The relationship between "Money" and "Misappropriation" is the same as the relationship between "Writing" and "Plagiarism". Both "Misappropriation" and "Plagiarism" involve wrongful or dishonest acts of theft or misuse, in the context of money and writing respectively.

Meaning of Buddha
The term "Buddha" is derived from the ancient Indian language of Sanskrit, where it means "the Enlightened One." This title signifies a profound spiritual awakening and understanding.
Significance of Enlightenment
- Awakening to Reality: The Buddha, specifically Siddhartha Gautama, attained enlightenment through deep meditation and insight into the nature of suffering, existence, and the path to liberation.
- Understanding of Suffering: The Buddha's teachings focus on the Four Noble Truths, which highlight the existence of suffering, its origin, cessation, and the path leading to its cessation.
The Path to Enlightenment
- The Middle Way: Buddha advocated for a balanced approach to spiritual practice, avoiding extremes of self-indulgence and self-mortification.
- Noble Eightfold Path: This is the practical guide to ethical and mental development, leading to enlightenment. It includes Right Understanding, Right Intent, Right Speech, Right Action, Right Livelihood, Right Effort, Right Mindfulness, and Right Concentration.
Conclusion
In essence, the term "Buddha" encapsulates the journey from ignorance to enlightenment, emphasizing wisdom and the realization of ultimate truth. It represents not just a historical figure but a universal aspiration for spiritual awakening and liberation from suffering. The correct answer, therefore, is option 'D' — "Enlightened one."

Explanation:

Error Analysis:
The error is in part (a) of the sentence. The correct article "the" should be used before "new device" to make the sentence grammatically correct.

Corrected Sentence:
The new device aims at eliminating the risk of short-circuiting.

Rock Edict XIII
Rock Edict XIII is where Ashoka mentions the casualties of the Kalinga War and declares the renunciation of war. Here is a detailed explanation:

Kalinga War Casualties
- In Rock Edict XIII, Ashoka mentions the suffering caused by the Kalinga War, where hundreds of thousands of people died and many more were deported or made captive.
- He expresses deep remorse and sorrow for the devastation and loss of life that occurred during the war.

Renunciation of War
- Ashoka declares his renunciation of war in Rock Edict XIII, stating that he will no longer engage in military conquests.
- He emphasizes the importance of practicing Dhamma (righteousness) and peace, and expresses his desire for the welfare and happiness of all his subjects.

Embracing Non-Violence
- Ashoka's declaration of renunciation of war marks a significant shift in his policies, as he adopts a more peaceful and compassionate approach to governance.
- He promotes non-violence, tolerance, and respect for all religious beliefs, encouraging his subjects to live harmoniously with one another.

Legacy of Rock Edict XIII
- Rock Edict XIII highlights Ashoka's transformation from a ruthless conqueror to a compassionate ruler who prioritizes the well-being of his people.
- This edict is seen as a key moment in Ashoka's reign, shaping his legacy as a promoter of peace and moral governance.
In conclusion, Rock Edict XIII is a pivotal edict where Ashoka reflects on the consequences of war, expresses remorse for the suffering caused, and declares his commitment to non-violence and peace.

How do virus writers gain access to computing resources?

Social Engineering:
Virus writers often use social engineering techniques to trick users into installing malware on their systems. This could involve sending phishing emails, creating fake websites, or impersonating trusted entities to deceive users into downloading malicious software.

Exploiting Security Vulnerabilities:
Virus writers exploit detailed knowledge of security vulnerabilities in software and operating systems. They may exploit loopholes in outdated software, weak passwords, or unsecured network connections to gain access to computing resources.

Creating Backdoors:
Some virus writers create backdoors in systems, allowing them to bypass security measures and gain unauthorized access to computing resources. These backdoors can be used to remotely control infected systems, steal sensitive data, or launch further attacks.

Using Remote Access Tools:
Virus writers may use remote access tools to gain access to computing resources. These tools allow attackers to remotely control infected systems, view and manipulate files, and carry out malicious activities without the user's knowledge.

Exploiting Zero-Day Vulnerabilities:
Zero-day vulnerabilities are security flaws that are unknown to the software vendor and have not been patched. Virus writers may exploit these vulnerabilities to gain access to computing resources before a fix is released, making it difficult for antivirus software to detect and prevent attacks.

The given series is 7, 8, 18, 57, ?, 1165.

To find the missing term, let's analyze the pattern in the series:

The first term is 7.
The second term is obtained by adding 1 to the first term: 7 + 1 = 8.
The third term is obtained by multiplying the second term by 2 and then adding 2: (8 * 2) + 2 = 18.
The fourth term is obtained by multiplying the third term by 3 and then subtracting 3: (18 * 3) - 3 = 57.

So, the pattern seems to be:
Term 1: 7
Term 2: (Term 1 + 1)
Term 3: (Term 2 * 2) + 2
Term 4: (Term 3 * 3) - 3

To find the missing term, we can apply the same pattern:
Term 5: (Term 4 * 4) + 4
= (57 * 4) + 4
= 228 + 4
= 232

Therefore, the missing term in the series is 232.

Hence, the correct alternative is option B) 232.

Given:
- Number of men required to finish the work in 100 days = x
- If there were 10 men less, then it would take 10 days more to finish the work

To Find:
- Number of men originally

Assumption:
- The amount of work is the same throughout the process

Explanation:

Let's assume that the total work is represented by W.

1. Work completed per day by x men = W/100
2. Work completed per day by (x-10) men = W/(100+10) = W/110

Since the amount of work is the same, we can equate these two expressions:

W/100 = W/110

Solving the equation:

Cross-multiplying the equation, we get:

110W = 100W

Simplifying the equation, we get:

10W = 0

Since the equation is not possible, it means that our assumption was wrong.

Conclusion:

We cannot determine the number of men originally based on the given information. The information provided is contradictory and does not lead to a valid solution.

Therefore, the correct answer is none of the given options.

Introduction
To find the value of x given the equation 25x sin²θ cos θ = tan²θ, where tan θ = 3/4, we can follow these steps.
Step 1: Calculate sin²θ and cos²θ
Since tan θ = sin θ / cos θ, we have:
- sin θ = 3k
- cos θ = 4k
Using the Pythagorean identity: sin²θ + cos²θ = 1:
- (3k)² + (4k)² = 1
- 9k² + 16k² = 1
- 25k² = 1
- k² = 1/25
- k = 1/5
Now, we can find sin θ and cos θ:
- sin θ = 3/5
- cos θ = 4/5
Step 2: Find sin²θ and cos θ
Now we calculate:
- sin²θ = (3/5)² = 9/25
- cos θ = 4/5
Step 3: Substitute values into the equation
Now we substitute sin²θ and cos θ into the equation 25x sin²θ cos θ = tan²θ:
- tan²θ = (3/4)² = 9/16
Substituting the values:
25x (9/25)(4/5) = 9/16
Step 4: Simplify the equation
Now, simplify the left side:
- 25x * (9/25) * (4/5) = 9x * 4/5 = (36x)/5
Setting both sides equal gives:
(36x)/5 = 9/16
Step 5: Solve for x
Cross-multiplying gives:
36x * 16 = 9 * 5
- 576x = 45
Now, solving for x:
- x = 45 / 576
- x = 5 / 64
Conclusion
Thus, the value of x is 5/64, confirming that the correct answer is option 'D'.

Background:
Buddha, also known as Siddhartha Gautama, was a spiritual leader and the founder of Buddhism. He lived in the 6th to 5th century BC in what is now Nepal and India.

Year of Death:
Buddha passed away in the year 483 BC.

Significance of the Year:
- Buddha's death, also known as Parinirvana, is a significant event in Buddhism.
- It marks the end of his earthly life and his attainment of Nirvana, the ultimate state of enlightenment.

Legacy of Buddha:
- Buddha's teachings on the Four Noble Truths and the Eightfold Path continue to guide millions of followers around the world.
- His emphasis on compassion, mindfulness, and the pursuit of inner peace has had a profound impact on the development of Buddhism as a major world religion.

Spread of Buddhism:
- After Buddha's death, his disciples carried on his teachings and helped spread Buddhism across Asia and eventually to other parts of the world.
- Today, Buddhism is one of the major world religions with millions of adherents.
In conclusion, Buddha's death in 483 BC marked a significant moment in the history of Buddhism and his teachings continue to inspire and guide people seeking spiritual enlightenment and inner peace.

In this question, we are given four options - Rival, Opponent, Foe, and Ally - and we need to identify the one which is different from the other three alternatives. Let's analyze each option to determine the correct answer.

a) Rival: A rival is someone who competes or vies with another person or group for the same objective or goal. They are seen as opponents or competitors.

b) Opponent: An opponent is someone who competes or opposes another person or group in a contest, game, or conflict. They are adversaries or rivals.

c) Foe: A foe is an enemy or adversary, someone who is opposed to or in conflict with another person or group.

d) Ally: An ally is someone who joins or cooperates with another person or group for a common purpose or goal. They are partners or supporters.

From the above analysis, we can see that all options except 'd) Ally' represent individuals or groups who are in opposition or conflict with each other. 'Ally' is the only option that represents a positive relationship where two parties come together and cooperate for a shared objective.

Therefore, the correct answer is option 'D' - Ally, as it is different from the other three alternatives.

Explanation:
To find the number of occurrences of the sequence "KGN" where "G" is in the middle and "K" and "N" are adjacent to it on both sides, we need to scan through the given series and count the valid occurrences.

Here is the given series:
A K G L M N D Q K G C S N G K T G K G N D Z P U X G K E

Step 1: Scan through the series and identify the occurrences of the sequence "KGN".

A K G L M N D Q K G C S N G K T G K G N D Z P U X G K E

Step 2: Count the number of valid occurrences.

There are a total of 2 valid occurrences where "G" is in the middle and "K" and "N" are adjacent to it on both sides.

Therefore, the correct answer is option 'D' - 2.

Solution:

Let's assume the side length of the square lawn is 'x' meters.

Area of the square lawn:
The area of a square is given by the formula A = s^2, where A is the area and s is the side length.
So, the area of the square lawn without the path is x^2.

Area of the square lawn with the path:
The area of the square lawn with the path is the area of the larger square minus the area of the smaller square.
The larger square has a side length of (x + 4) meters, and the smaller square has a side length of x meters.
The area of the larger square is (x + 4)^2, and the area of the smaller square is x^2.
Therefore, the area of the path is (x + 4)^2 - x^2.

Given that the area of the path is 196 m^2, we can set up the following equation:
(x + 4)^2 - x^2 = 196

Solving the equation:
Expanding the equation, we get:
(x^2 + 8x + 16) - x^2 = 196
8x + 16 = 196

Subtracting 16 from both sides of the equation, we get:
8x = 180

Dividing both sides of the equation by 8, we get:
x = 22.5

Calculating the side length:
The side length of the square lawn is 22.5 meters.
Since the question asks for the answer in meters, we can round the side length to the nearest meter.
So, the side length of the square lawn is approximately 22 meters.

Therefore, the correct option is (c) 22 meters.

The Sentence Structure
The sentence in question is: "The new device aims at eliminating the risk of short-circuiting."
Identifying the Error
- The phrase "the risk of short-circuiting" is grammatically correct, but the issue lies in the construction of the sentence regarding the use of the term "short-circuiting."
Understanding Short-Circuiting
- "Short-circuiting" generally refers to an electrical fault that occurs when a current travels along an unintended path.
- In this context, it’s crucial to differentiate between the risk of short-circuiting and the more common terminology used to describe such risks.
Correct Usage
- The phrase should ideally be adjusted for clarity and precision. Instead of "the risk of short-circuiting," a more appropriate expression could be "the risk of a short circuit" or "the risk of short-circuits."
- This adjustment improves clarity, as it specifies that the risk is related to short circuits, which is a more standard term in technical contexts.
Conclusion
- Therefore, the error is located in part "c," where the phrase could be improved for better understanding and accuracy.
- The sentence would read better as: "The new device aims at eliminating the risk of a short circuit."
This minor adjustment enhances the overall clarity and correctness of the sentence.