BSF Head Constable Ministerial (HCM) Mock Test - 3 - BSF Head Constable MCQ

The correct answer is Option A i.e. 1) serenity, 2) calming, 3) unfolding, 4) enriching.
Key Points

• The serenity of nature refers to the peaceful and untroubled quality that can calm our hearts.
• Nature's stillness and movement both have a calming effect, highlighting the balance and harmony in natural environments.
• The unfolding creativity of nature suggests that nature continuously reveals its creative aspects in unique and ever-changing ways.
• It is enriching to experience solitude with nature, indicating that spending time alone in natural settings can be beneficial and fulfilling.

Therefore, the correct answer is- A) serenity, 2) calming, 3) unfolding, 4) enriching.
Additional Information

• Tumult refers to a loud, confused noise, especially one caused by a large mass of people, which contrasts with the peacefulness described in the passage.
• Hypnotizing could describe an effect of nature, but it is not as fitting as "calming" for the context given.
• Endurance refers to the ability to withstand hardship or adversity, which doesn't directly relate to the calming and creative aspects of nature described.

Option C is the option that has the correct combination of words to make the sentence meaningful.
Option A cannot be the answer because the sun doesn’t just go, it goes down.
Option B cannot be the right answer because the sun cannot plan from the sky.
Option D cannot be the right answer because something cannot ‘leave from’ somewhere, it just ‘leaves’.
The correct version of the sentence would be:
The sun was soon draining from the sky, but Alison had no plan of going to the party anytime soon. She preferred staying on the hill and looking at the sun go down than be in a room full of drunken people.
The correct answer is option C.

The correct answer is 'Patriarch'.
Key Points

• "Matriarch" refers to a woman who is the head of a family or tribe, especially in a matrilineal society where lineage is traced through the mother's side.
  • Example: The matriarch of the family held significant influence over the clan's decisions.
• The term "Patriarch" is an antonym, as it refers to a man who is the head of a family or tribe, often in a patrilineal society where lineage is traced through the father's side.
  • Example: The patriarch of the family passed down traditions and values to the next generation.

Therefore, the correct answer is Option A.
Additional Information

• Leader: A person who leads or commands a group, organization, or country.
• Sovereign: A supreme ruler or monarch.
• Monarch: A head of state in a monarchy, such as a king or queen.

The correct answer is 'Youth'.
Key Points

• "Adolescence" refers to the transitional stage of physical and psychological development that generally occurs during the period from puberty to legal adulthood.
  • Example: During adolescence, many people begin to form strong opinions and values.
• The term "Youth" aligns with this definition, as it refers to the time of life when one is young, especially the time between childhood and maturity.
  • Example: Youth is often characterized by a desire for exploration and discovery.

Therefore, the correct answer is Option B.
Additional Information

• Infancy: The stage of being an infant; early childhood.
• Old age: The latter part of life, typically from retirement onward.
• Maturity: The state of being fully developed, either physically or mentally.

The correct answer is 'Option D' i.e. 'Take on a task that you cannot finish'.
Key Points
The given idiom is "Bite off more than you can chew" which means to take on a task or responsibility that one cannot manage. In Hindi, the equivalent might be 'अपनी चाल से ज्यादा बड़ी झोली फैलाना' (Apni chaal se jyada badi jholi failana).
For example: If you take on too many projects, you might bite off more than you can chew.
Therefore, the correct answer is - 'Option D' i.e. 'Take on a task that you cannot finish'.

The logic followed here is:
'CLEAR' is written as '15-5-19',

‘PRIZE' is written as '34-9-31’

Similarly, for 'LUCID'

So, 'LUCID' will be written as '33-3-13'.
Hence, the correct answer is "Option D".

Given equation: 14 × 5 – 56 ÷ 7 + 35 = 43
BODMAS Table:

Let's check each option one by one.

Option A) + and ÷

Given equation: 14 × 5 – 56 ÷ 7 + 35 = 43

After interchanging the signs we get;

⇒ 14 × 5 – 56 + 7 ÷ 35 = 43

⇒ 14 × 5 – 56 + 0.2 = 43

⇒ 70 – 56 + 0.2 = 43

⇒ 70.2 – 56 = 43

⇒ 14.2 ≠ 43

⇒ LHS ≠ RHS

Option B) × and -

Given equation: 14 × 5 – 56 ÷ 7 + 35 = 43

After interchanging the signs we get;

⇒ 14 - 5 × 56 ÷ 7 + 35 = 43

⇒ 14 - 5 × 8 + 35 = 43

⇒ 14 - 40 + 35 = 43

⇒ 49 - 40 = 43

⇒ 9 ≠ 43

⇒ LHS ≠ RHS

Option C) + and -

Given equation: 14 × 5 – 56 ÷ 7 + 35 = 43

After interchanging the signs we get;

⇒ 14 × 5 + 56 ÷ 7 - 35 = 43

⇒ 14 × 5 + 8 - 35 = 43

⇒ 70 + 8 - 35 = 43

⇒ 78 - 35 = 43

⇒ 43 = 43

⇒ LHS = RHS

Option D) ÷ and ×

Given equation: 14 × 5 – 56 ÷ 7 + 35 = 43

After interchanging the signs we get;

⇒ 14 ÷ 5 – 56 × 7 + 35 = 43

⇒ 2.8 – 56 × 7 + 35 = 43

⇒ 2.8 – 392 + 35 = 43

⇒ 37.8 – 392 = 43

⇒ - 354.2 ≠ 43

⇒ LHS ≠ RHS

Hence, the correct answer is "Option C".

The pattern used here is,

Code for ‘Rita’ is either ‘pi’.
Code for ‘wants’ is ‘na’
Code for ‘guitar’ is either ‘ga’
Hence, ‘ga’ is the correct answer.

Given:

Statements:

1. All mothers are women.

2. Some women are doctors.

The least possible diagram for the given statements is as follows.

Conclusions:

I. No mother is a doctor → False (It is possible but not definite)

II. Some mothers are doctors → False (It is possible but not definite)

Both conclusions I and II form a complementary pair, hence either I or II follows.

Hence, "either conclusion I or conclusion II follows" is the correct answer.

Additional Information

A set of two conclusions is said to be a Complementary Pair and thus form a case of either or when they follow the following conditions-

i) Both the objects must be the same in both conclusions.

ii) Both the conclusions must be False individually.

Some of the cases of complementary pairs are-

Some + No & All + Some Not

Important Points
Some + Some not is never a complimentary pair.

Given:
Find the sum of the cubes of the first nine natural numbers.
Formula Used:
The sum of the cubes of the first n natural numbers is given by:

Calculation:
For n = 9:
(9 (9 + 1)/2)²
⇒ (9 x 10/2)²
⇒ (45)²
⇒ 2025
∴ The correct answer is 2025 (C).

Given:

Last year, the ratio of salaries of Arun and Bhargav was 4 ∶ 5. If in the current year, the salary of each of them is increased by ₹5,000, the new ratio becomes 9 ∶ 11.

Concept:

We need to find the initial salaries of Arun and Bhargav and then determine Arun's current salary after the increment.

Formula Used:

Ratio and Proportion

Calculation:

Let Arun's salary last year be 4x and Bhargav's salary last year be 5x.

⇒ (4x + 5000) / (5x + 5000) = 9 / 11

Cross-multiplying to solve for x, we get:

⇒ 11(4x + 5000) = 9(5x + 5000)

⇒ 44x + 55000 = 45x + 45000

⇒ 45x - 44x = 55000 - 45000

⇒ x = 10000

Thus, Arun's salary last year = 4x = 4 × 10000 = ₹40,000

Arun's salary in the current year = ₹40,000 + ₹5,000 = ₹45,000

∴ Arun's salary in the current year is ₹45,000

Given:

Two vessel contain milk and water in the ratio 7 ∶ 8 and 13 ∶ 5.

Calculation:

Let 90x liter of each solution is taken [As LCM of 15, 18 is 90]

So, quantity of milk from 1st mixture = 90x × (7/15)

⇒ 42x

Quantity of milk from 2nd mixture = 90x × (13/18)

⇒ 65x

Quantity of water from 1st mixture = 90x × (8/15)

⇒ 48x

Quantity of milk from 2nd mixture = 90x × (5/18)

⇒ 25x

Total quantity of milk = 42x + 65x

⇒ 107x

Total quantity of water = 48x + 25x

⇒ 73x

Ratio = 107x : 73

⇒ 107 : 73

∴ Thre required ratio is 107 : 73.

Calculation:
By making the denominator same we have,
LCM of 8, 35, 16, 7 = 560
⇒ 350/560, 336/560, 315/560, 480/560
Out of the above numbers the greatest is 480/560 and smallest is 315/560
Difference will be:
⇒ (480 - 315)/560
⇒ (165)/560
⇒ (33)/112
∴ The correct answer is 33/112 

Concept used:

Sum of linear pair angles = 180º

Calculation:

Let O be the intersection point of these lines.

⇒ ∠ AOC = ∠ FOD = 90º (Vertically opposite angle)

⇒ ∠ BOF + ∠ FOD + ∠ DOE = 180º (Linear pair)

⇒ 40º + 90º + 5a = 180º

⇒ 130º + 5a = 180º

⇒ 5a = 50º

∴ a = 10º

Given:

Person's salary has increased from Rs. 7000 to Rs. 11000

Formula used:

Increment in Salary(%) = (Increment in salary/Total salary) × 100

Calculation:

Initial Salary = Rs. 7000

After increment , total salary = Rs. 11000

Increase in salary = 11000 - 7000 = 4000

Increment in Salary(%) = (Increment in salary/Total salary) × 100

Increment in Salary(%) = (4000/7000)× 100 = 400/7 = 57.14%

So, the percentage increase in his salary is 57.14%.

Concept:

Equivalent discount for a% and b% = a + b - ab/100

Calculation:

Equivalent discount for 10% and 20% = 10 + 20 - (10 × 20)/100 = 30 - 2 = 28%

Now, single discount for 28% and 25% = 28 + 25 - (28 × 25)/100

⇒ 28 + 25 - 7

⇒ 46%

Hence, the single discount is 46%.

Alternate Method20% = 1/5, 25% = 1/4, 10% = 1/10

5 4

4 3

10 9

____ ____

200 108

Discount = 200 - 108 = 92

Discount % = (92/200) × 100 = 46%

Given:

The average score of a batsman is 50 runs / innings. In the next 5 innings he scores 400 runs and his average score increases by 5.

Formula used:

Average = Sum of all number/Total number of values

Calculation:

Let the number of innings initially be x.

So, The Sum of runs

= Average × no. of innings

= 50x

Now, According to question,

50x + 400 = (x + 5) × 55

⇒ 55x - 50x = 400 - 275

⇒ 5x = 125

⇒ x = 25

Hence, Total number of innings

= x + 5

= 25 + 5

= 30

∴ The Required number of innings is 30.

Let the two expressions be P and Q

P + Q = 5x² − x − 4

P − Q = x² + 9x − 10

Adding two equations 2P = 6x² + 8x −14

∴ P = 3x² + 4x − 7

⇒ 3x² + 7x − 3x − 7

⇒ x(3x + 7) − 1(3x + 7)

∴ (x − 1) (3x + 7)

Subtracting two equations

Q = 2x² − 5x + 3

⇒ 2x² − 3x − 2x + 3

⇒ x(2x − 3) − 1(2x − 3)

⇒ (x − 1) (2x − 3)

∴ HCF = (x − 1)

Family Chart:

Given: If A is the cousin of B, whose father is A's mother's brother.

So, A's father is Brother in law of B's father.

Hence, the correct answer is 'Option 3'.

The logic followed here is: Second word is Sequential event of First word.

Countdown : Launch → Countdown is followed by a Launch in sequence.

Similarly,

Breakfast : ? → Breakfast is followed by Lunch in the daily meal sequence.

So, 'Lunch' will come in place of question mark.

Hence, the correct answer is 'Option 3'.

Given word: 'OXYGEN'

Conditions:

1. Each vowel in the given word is changed to the letter following it alphabetically i.e. +1 in the positional value.

2. Each consonant is changed to the letter preceding it alphabetically i.e. -1 in the positional value.

After applying the conditions, we get:

Now, rearranging alphabetically - FFMPWX

So, the fourth letter from the left is 'P'.

Hence, the correct answer is "Option 4".

As per the given information:

'Knowledge' is achieved by 'Studying' in the same way 'Experience' is achieved by 'Work'.

Hence, the correct answer is "Option (C)".

The correct answer is option B.
Key Points
Explanation of MS Word 365 Option Icons

​​​: Orientation:

• The "Orientation" option is used to change the layout of the document between portrait and landscape modes.
• This is usually depicted by an icon showing a vertical and horizontal page layout. Hence, (a) matches with (ii).

: Columns

• The "Columns" option allows users to split text into multiple columns within a document.
• The icon for this option often shows multiple vertical lines or columns. Hence, (b) matches with (iii).

: Text Color Highlighter

• The "Text Color Highlighter" is used to highlight text with different colors, similar to using a highlighter pen on paper.
• This icon is usually represented by an image of a highlighter pen. Hence, (c) matches with (iv).

: Clear All Formatting

• The "Clear All Formatting" option in MS Word is used to remove all formatting from the selected text, returning it to the default text style.
• This is typically represented by an icon resembling an eraser or a brush erasing text. Hence, (d) matches with (i).

Additional Information
MS Word 365:

• MS Word 365 is a powerful word processing tool that is part of the Microsoft Office suite.
• It includes features such as text formatting, layout customization, and collaboration tools.
• Users can access MS Word 365 through a subscription to Microsoft 365, which provides cloud-based access and regular updates.

The correct answer is Ctrl + 3.

Key Points

The Correct answer is Alt + H + T.

Key Points

• The 'Format as Table' feature in MS-Excel 2019 allows users to quickly apply a pre-defined table style to a range of cells.
• Using the keyboard shortcut Alt + H + T, users can access the 'Format as Table' gallery directly from the keyboard without using the mouse.
• Once the 'Format as Table' gallery is open, users can navigate through various table styles using the arrow keys and select their preferred style by pressing Enter.
• Tables in Excel not only provide aesthetic enhancements but also offer functional benefits such as automatic filtering, sorting, and easy data analysis.
• Applying a table format also enables the use of structured references, which can simplify formula writing and improve readability.

The correct option is (C) :-)
Key Points

• A limited number of emojis are included by default in Outlook for Microsoft 365. Users can insert emojis by typing the text code. For instance, typing:-) adds the smiley face emoji.
• Nevertheless, since Outlook is operating on Windows 10, there are more emojis available, making it even simpler to input one.
• Choose Emoji from the Insert option to add emojis to your document. Several smileys and persons are displayed in Word for the Web. Choose More Emoji to access the full selection of emojis.
• Simply click the Windows key and the period (.) or semicolon (;) buttons to open the shortcut to the emojis in Outlook.

Additional Information 

The correct answer is i - True, ii - True, iii - True

Key Points

• i) True. Wi-Fi stands for Wireless Fidelity.
• ii) True. HTTP stands for HyperText Transfer Protocol, which is used for transferring web pages on the internet.
• iii) True. VPN stands for Virtual Private Network, which creates a secure network connection over a public network.

The correct answer is ​A - IV, B - II, C - I, D - III
Key Points

• DHCP (Dynamic Host Configuration Protocol) dynamically distributes network configuration parameters.
• VPN (Virtual Private Network) extends a private network across a public network, allowing users to send and receive data across shared or public networks as if their computing devices were directly connected to the private network.
• TCP/IP (Transmission Control Protocol/Internet Protocol) is a suite of communication protocols used to interconnect network devices on the internet.
• Wi-Fi is a technology for wireless local area networking.

The correct answer is Ctrl+E.

Key Points

• Shortcut commands save time because it eliminates the need of using the mouse or tracker.
• There are several command shortcut commands.
• For instance,
  • Ctrl + C = Copy,
  • Ctrl + V = Paste,
  • Ctrl + F to find any text.
  • Ctrl + E - Align selected text or line to the center
  • Ctrl + T - Open a new tab in an Internet browser
  • Ctrl + R - Refreshes (reloads) the open page
  • Ctrl + C - Copy the text

The correct answer is Both (i) and (ii)

Key Points

• Yahoo is indeed a web portal. A web portal is a specially designed website that often serves as the single point of access for information. It can also be used to provide a variety of information, like emails, news, entertainment, and many other features. Yahoo is one of the pioneers of early internet era in providing a web portal that combined a searchable directory, news, email, and a variety of other features.
• Both Google and Bing are search engines. A search engine is a software system that is designed to carry out web searches, which means to search the World Wide Web in a systematic way for particular information specified in a textual web search query. Google is developed by Google LLC and Bing by Microsoft, and they are among the most popular search engines worldwide.