BSF Head Constable Ministerial (HCM) Mock Test - 4 - BSF Head Constable MCQ

The logic followed here is:
'FLOWER' is written as 'IVDLOU'

'CLEANS' is written as 'HMZVOX'

Similarly, for 'PROFIT'

So, 'PROFIT' will be written as 'GRULIK'.
Hence, the correct answer is "Option B".

Given:

A from the left = 10th

B from the right = 9th

After interchange the positions,

A from the left = 15th from left = B's position from left.

Total crows = ?

Formula:

Total = L + R - 1

Calculation:

Total Crows = (B's position from left + B's position from the right) = 15 + 9 - 1

⇒ Total Crows = 23

Hence, the correct answer is "23".

1. A ranked higher then F.

2. F ranked lower then E.

3. A ranked lower than E.

Hence,

E > A > F

4. F ranked higher than B and C.

E > A > F > B/C

5. D ranked higher than C and E

D > E > A > F > B/C

D ranked the highest.

Hence, D is the correct answer.

Completing the incomplete pattern;

Hence, option (B) is the correct answer.

The correct mirror image of the given figure when the mirror is placed to the right side of the figure is,

Hence, option C is the correct answer.

Given:

The average weight of 35 students in a class is 66 kg.

Formula Used:

New total weight = (Total weight of initial 35 students - Total weight of 6 students leaving) + Total weight of 11 students joining

Calculation:

Total weight of initial 35 students = 35 × 66

Total weight of 6 students leaving = 6 × 58.5

Total weight of 11 students joining = 11 × 68

New number of students = 35 - 6 + 11

New average weight = New total weight / New number of students

Total weight of initial 35 students = 35 × 66

⇒ 35 × 66 = 2310

Total weight of 6 students leaving = 6 × 58.5

⇒ 6 × 58.5 = 351

Total weight of 11 students joining = 11 × 68

⇒ 11 × 68 = 748

New total weight = (2310 - 351) + 748

⇒ 1959 + 748 = 2707

New number of students = 35 - 6 + 11

⇒ 40

New average weight = 2707 / 40

⇒ 67.675

∴ The correct answer is 67.675 (A).

Given:

20% of voters did not vote, 5% of votes cast were invalid, a candidate got 9880 votes, which was 65% of the valid votes.

Concept:

To find the number of valid votes, we need to calculate the total number of votes cast and then apply the given percentages.

Formula Used:

Total votes = Valid votes + Invalid votes

Valid votes = Total votes × 0.95 (since 5% are invalid)

Votes for candidate = Valid votes × 0.65

Calculation:

Let the total number of voters be N.

⇒ 80% of N cast their votes ⇒ 0.8N

⇒ 5% of votes cast were invalid ⇒ 0.8N × 0.05 = 0.04N

⇒ Valid votes = 0.8N - 0.04N = 0.76N

Given that one candidate got 9880 votes which is 65% of the valid votes:

⇒ 0.65 × 0.76N = 9880

⇒ 0.494N = 9880

⇒ N = 9880 / 0.494

⇒ N = 20000

Total votes cast = 0.8N = 0.8 × 20000 = 16000

Valid votes = 0.76N = 0.76 × 20000 = 15200

Votes for the other candidate = Total valid votes - Votes for one candidate

⇒ Votes for the other candidate = 15200 - 9880 = 5320

∴ The number of valid votes got by the other candidate is 5320.

Concept:

Total investment = Investment × Time of Investment

Calculation:

A's total investment = 2 × 6 = 12 unit

B's total investment = 3 × 5 = 15 unit

C's total investment = 4 × 4 = 16 unit

D's total investment = 5 × 3 = 15 unit

E's total investment = 6 × 2 = 12 unit

C has the highest total investment, which is 16 unit.

Since, the profit is directly proportional to the total investment.

Therefore, C would receive the highest amount of profit.

Calculation:

Perimeter of second rectangle is 160 cm

⇒ 2( L2 + B2 ) = 160

⇒ ( L2 + B2) = 80cm ------ eq1

And one more relation of length and breadth is

⇒( L2 - B2 ) = 12 cm ------ eq 2

Add Eq 1 and eq 2 we get

⇒ 2L2 = 92 → L2 = 46 cm

⇒ B2 = 46 -12 = 34 cm

Then Ratio of L1 and L2 is 24 : 23

⇒ 23 unit = 46 cm

⇒ 24 unit = 48 cm

Ratio of breadth is 18 : 17

⇒ 17 unit = 34 cm

⇒ 18 unit = 36 cm

Then length of L1 is 48 cm and Breadth of B1 is 36

Area of rectangle is 48 × 36

⇒ 1728 sq cm

Hence 1728 sq cm is the correct answer.

Given:

Speed range 25 - 50 km/hr, fuel consume 20 mL per km

Speed range other than 25 - 50 km/hr, fuel consume 40 mL per km

Distance travelled at a speed of 40 km/hr = 10 km

Distance travelled at a speed of 60 km/hr = 30 km

Distance travelled at a speed of 30 km/hr = 10 km

Total distance travelled = 50 km

Concept used:

Speed = distance/time

Fuel consumed = fuel consumption rate per km × distance travelled

Calculation:

Distance travelled above the speed range of 25 – 50 km/hr = 30 km

⇒ Petrol consumed = 30 × 40 = 1200 mL = 1.2 L

Distance travelled other than speed range of 25 - 50 km/hr

= (10 + 10) = 20 km

⇒ Petrol consumed = 20 × 20 = 400 mL = 0.4 L

Given:

A man borrows Rs. 4,000 from a bank at 10% per annum simple interest

Installments = Rs. 1,500 and Rs, 2,500

Concept used:

S.I = (P × T × R)/100

Here, P = Principal T = Time R = Rate

Calculation:

Interest after 1st year = 4,000 × 10% = 400

Principal at the end of 1st year and at the starting of the 2nd year = 4,000 - 1,500 = 2,500

Interest after 2nd year = 2,500 × 10% = 250

Principal at the end of 2nd year and at the starting of the 3rd year = 2,500 - 2,500 = 0

Interest after 3rd year = 0 × 10% = 0

Amount to be paid at the end of 3rd year = 400 + 250 + 0 = 650

∴ Rs. 650 should be paid at the end of the third year to clear the debt.

Given:

5 men + 4 women can complete the work in 10 days.

4 women + 7 men can do the same work in 8 days.

Formula Used

(M1× D1× H1)/W1 = (M2 × D2 × H2)/W2

Calculation:

Let the efficiency of man be M and efficiency of woman be W

(5M + 4W) × 10 = (4M + 7W) × 8

⇒ 50M + 40W = 32M + 56W

⇒ 18M = 16W

⇒ M = (8/9)W ----(1)

Again, one day work of 5 men & 4 women

5M + 4W = 1/10

⇒ 5 × (8/9)W + 4W = 1/10

⇒ W [40/9 + 4] = 1/10

⇒ W (40 + 36)/9 = 1/10

⇒ W = 9/760

Hence, one day work of 11 women

⇒ 11 × 9/760 = 99/760

∴ 11 women can complete the same work in .7 67/99 days.

Given:

The difference between simple interest and compound interest on a certain amount at 5% for two years is ₹25

Formula used:

The difference between the simple interest and the compound interest on a certain amount at R% for T years = P(R/100)^T

R = 5%

T = 2 years

SI - CI = P(R/100)^T​

⇒ P(R/100)^T​ = 25

⇒ P x 5² / 10000 = 25

⇒ P = Rs. 10,000

∴ The amount is Rs. 10,000.

Given:
Equilateral triangle PQR with side PQ = 6 cm
Formula Used:
Circumradius of Equilateral triangle = side of equilateral triangle/√3
Concept Used:
Centroid Divide the median in the ratio 2 : 1
All the centres of the Equilateral triangle lie at the same point. Be it circumcenter, orthocenter, incentre, and centroid.
Calculation:

Since all the centres lie at the same point L, PL is also the circumradius of Equilateral Triangle PQR
Using the above formula,
PL = PQ/√3
⇒ PL = 6/√3
⇒ PL = 2√3 cm.
∴ The length of PL is 2√3 cm.

The correct answer is Option D i.e. DBAC
Key Points

• The sentence describes what a desert is, starting with the definition before describing its attributes.
• "A desert is a" (D) is the logical starting point as it introduces the subject of the sentence.
• "barren area of land" (B) directly follows to describe what a desert is.
• "where little" (A) should come next to specify the conditions of the land, connecting smoothly to the final part.
• "precipitation occurs" (C) completes the sentence by detailing the scarcity of rainfall in deserts.

Therefore, the correct answer is- DBAC.
Additional Information

• Option A (BCDA): This arrangement starts with the descriptive part, but it fails to introduce the subject 'a desert' first, which is essential to understand the definition.
• Option B (ADBC): This option fails to make sense because starting with "where little" does not establish what is being described.
• Option C (CADB): This option places "precipitation occurs" at the beginning, which grammatically and logically disrupts the sentence flow.

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

• The subject of the sentence is "over 59% of India's land area."
• The predicate is "is threatened."
• The rest of the sentence should detail what it is threatened by, specifically "by moderate to severe seismic risks."
• Arranging the parts in the order 4, 1, 3, 2 places the subject first, followed by the verb, and then the modifiers to make a coherent sentence.
• Point 1: The subject "over 59% of India's" should come first to set the focus of the sentence.
• Point 2: Following the subject, the phrase "land area is threatened" logically describes the situation.
• Point 3: The prepositional phrase "by moderate to severe" explains the nature of the threat.
• Point 4: Finally, "seismic risks" is what completes the explanation of the threat.

Therefore, the correct answer is- 4, 1, 3, 2
Additional Information

• Option B (1, 3, 2, 4): This arrangement does not start with the subject and leads to confusion as the sentence would then read: "land area is threatened by moderate to severe seismic risks over 59% of India's," which is not cohesive and makes the subject unclear.
• Option C (2, 3, 1, 4): Starting with "seismic risks by moderate to severe" does not provide a clear subject, leading to a non-sensical sentence structure.
• Option D (3, 2, 1, 4): This arrangement begins with "by moderate to severe seismic risks land area is threatened over 59% of India's," which is grammatically incorrect and incomprehensible.

According to the given information:

1. Arpit started from his office and travelled 2 km towards west,
2. then turned right and travelled 2 km and then turned left and travelled 3 km.
3. From there he took a bus which travelled straight towards North and travelled 10 km by this bus and reached his home.

The following diagram can be deduced,

The shortest distance between his home and office:

The least distance will be the hypotenuse of triangles.

• Shortest distance (?²) = 122 + 52 =144 + 25 = 169
• So the total distance becomes = 13 km.

​Hence, the correct answer is "13 km".

Each daughter has the same number of brothers as she has sisters. This means, since there are D daughters, each daughter has D-1 sisters (because a girl cannot be her own sister), and each daughter also has as many brothers, which are S. So, D - 1 = S.

Next, look at the second condition. Each son has twice as many sisters as he has brothers. Thus, for the S sons, there are S-1 brothers (since a boy cannot be his own brother), and twice as many sisters, which are D. So, 2 × (S - 1) = D.

Now, the above gives us a system of two equations, which we can solve simultaneously to get the values for D and S.

Let's plug D = S + 1 from the first equation into the second one to solve for S:

2 × (S - 1) = S + 1

S = 3,

So, there are 3 sons in the family.

Hence, the correct answer is "Option (2)".

Family Chart:

Given:
Q is the mother of R.
P is the husband of Q.
S is the brother of R.

So, P is 'Father' of S.
Hence, the correct answer is "Option 1".

The logic followed here is :-

"MELODY" is written as "LEMYDO".

and

"PURPLE" is written as "RUPELP".

Similarly,

"CLAUSE" will be written as :

Hence, the correct answer is "ALCESU".

The pattern followed here is:

Thus, the pattern which logically completes the series is ZUH 35.
Hence, the correct answer is Option (D).

The correct answer is option A.
Key Points
Steps of Compiler Design

• Intermediate Code Generation - This step involves generating an intermediate representation of the source code. The purpose of this intermediate code is to be easily translated into machine code. It serves as an abstraction that bridges the gap between the high-level source code and the low-level machine code. Hence, (a) matches with (ii).
• Syntax Analysis - In this step, the compiler checks the syntax of the source code to ensure that it conforms to the rules of the programming language. This phase involves parsing the source code and building a syntax tree. Hence, (b) matches with (iii).
• Semantic Analysis - This step involves checking the meaning of the source code to ensure that it makes sense. This phase ensures that the syntax tree follows the rules of the language's semantics, such as type checking and variable binding. Hence, (c) matches with (iv).
• Code Optimization - This step removes unnecessary code lines and organizes the sequence of statements to speed up the execution of the program without wasting resources. The goal is to improve the performance and efficiency of the generated machine code. Hence, (d) matches with (i).

Additional Information

• Compiler Design - A compiler translates high-level programming code into machine code. It consists of several stages that transform the source code into an executable program.
• Lexical Analysis - This is the first phase of the compiler where the source code is scanned to convert it into tokens. Tokens are the smallest units of meaningful data such as keywords, identifiers, operators, etc.
• Syntax Analysis - Also known as parsing, this phase checks the source code for grammatical correctness according to the language's syntax rules and generates a syntax tree.
• Semantic Analysis - This phase ensures that the syntax tree adheres to the language's semantic rules, such as type checking and scope resolution.
• Intermediate Code Generation - This phase generates an intermediate representation of the source code, which is easier to translate into machine code.
• Code Optimization - This phase aims to improve the intermediate code so that the final machine code runs more efficiently.
• Code Generation - This phase translates the optimized intermediate code into the target machine code.
• Code Optimization - Techniques such as loop optimization, dead code elimination, and inlining functions are used to optimize the code.
• Final Code Generation - The final phase where the optimized intermediate code is converted into the machine code for execution.

Key Points
A. You can create folders to store and organize your emails.

• This statement is true.
• Most email services provide the option to create folders or labels to help organize and categorize your emails.
• This allows for better management and easy retrieval of specific emails.

B. Using the Cc feature will hide all other recipients from each other.

• This statement is false.
• When using the Cc (Carbon Copy) feature in an email, all recipients can see who else received the email.
• It does not hide the recipients from each other. To hide recipients, you would need to use the Bcc (Blind Carbon Copy) feature.

C. You can add attachments of any file size to an email.

• This statement is not universally true.
• While email services may have certain file size limits for attachments, these limits vary across different providers.
• Generally, there are restrictions on the maximum file size you can attach to an email.

D. You can add signatures to your emails to give personal contact details.

• This statement is true.
• Email clients and services allow users to create and add personalized signatures to their emails.
• These signatures often include personal contact details, such as name, job title, phone number, and email address.

E. You can only send emails from a laptop computer.

• This statement is false.
• You can send emails from various devices, including laptops, desktop computers, smartphones, tablets, and other internet-connected devices.
• Email services are accessible through web-based interfaces, email clients, and mobile apps, allowing users to send and receive emails from different devices.

Therefore, the correct answer is option C.

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

Key Points

• A - Find & Select (III):
  • Explanation: Magnifying glass icon; used to search and select specific text or data in the spreadsheet.
• B - Breaks (I):
  • Explanation: Horizontal line with a break; used to insert page breaks for printing purposes.
• C - Sort & Filter (IV):
  • Explanation: A-Z with funnel icon; used to sort data and apply filters to view specific information.
• D - Themes (II):
  • Explanation: Design palette icon; used to apply consistent colors, fonts, and effects across the workbook.

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

Key Points

• i) True. GUI stands for Graphical User Interface, which allows users to interact with electronic devices through graphical icons.
• ii) False. IP stands for Internet Protocol, not Internet Provider.
• iii) True. FTP stands for File Transfer Protocol, which is used to transfer files between computers on a network.

The correct answer is control unit, arithmetic-logic unit and primary storage.
Key Points

• The Central Processing Unit (CPU) is often referred to as the brain of the computer.
• The CPU consists of three main components: the Control Unit (CU), the Arithmetic Logic Unit (ALU), and the Primary Storage (often referred to as registers).
• The Control Unit directs the operation of the processor. It tells the computer's memory, arithmetic/logic unit and input and output devices how to respond to a program's instructions.
• The Arithmetic Logic Unit performs all arithmetic and logical operations, such as addition, subtraction, and comparison.
• The Primary Storage is used to store data temporarily that is being processed by the CPU.

The correct answer is Opera.

Key Points

• Opera is a popular web browser that allows users to access and navigate the internet. It is known for its speed, security features, and user-friendly interface.
• Web browsers are software applications designed to retrieve, present, and traverse information on the World Wide Web.
• Other well-known web browsers include Google Chrome, Mozilla Firefox, Microsoft Edge, and Safari.

Additional Information

• StarWorks is not a known web browser. It might be a fictional or lesser-known software but does not belong to the category of web browsers.
• GoogleApps refers to a suite of cloud computing, productivity, and collaboration tools, software, and products developed by Google. It includes applications like Gmail, Google Drive, Google Docs, etc., but it is not a web browser.
• Odilla seems to be a misspelling or fictional name and is not recognized as a web browser. The correct spelling might be "Mozilla," which is the organization behind the Firefox browser, but "Odilla" itself is not a web browser.

The correct answer is Home

Key PointsIn Microsoft Word 2016, the Home tab is the default tab that opens when you initiate the program. This tab houses the most frequently used commands in Word. It's subdivided into several groups:

• Clipboard: This includes copy, cut, paste, and format painter.
• Font: This is the group where the options like Bold, Italic, and Underline are found. You also have access here to other font formatting settings such as font size, color, and highlighting.
• Paragraph: Here you can set text alignment, line spacing, bullets and numbering, and indentation.
• Styles: Contains a list of pre-set styles that you can apply to your text.
• Editing: Here you have commands for searching within your document, replacing text, and going to specific points in your document.

Hence, to apply formatting such as Bold, Italic, or Underline to the text, you need to navigate to the Home tab and look under the 'Font' group.

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

Key Points

• i. The function TRIM() in MS-Excel365 is used to remove all spaces from a text string except for single spaces between words.
  • Explanation: The TRIM() function in MS-Excel365 is designed to clean up text by removing any extra spaces at the beginning, end, or within a string, leaving only single spaces between words.
  • Verdict: Correct.
• ii. If cell J5 contains the text " Excel ", and the formula =TRIM(J5) is entered in cell J6, the result will be "Excel".
  • Explanation: The TRIM() function will remove all leading and trailing spaces from the text in cell J5, which means the text " Excel " will be trimmed to "Excel".
  • Verdict: Correct.
• iii. The waterfall chart in MS-Excel365 is used to show the cumulative effect of sequentially introduced positive or negative values.
  • Explanation: A waterfall chart is a data visualization tool that helps in understanding the cumulative effect of sequentially introduced positive or negative values, often used for visualizing financial data or any scenario that involves incremental changes.
  • Verdict: Correct.

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

Key Points

• i. Bluetooth is a wireless technology for data exchange.
  • Explanation: Bluetooth is indeed a wireless technology standard used for exchanging data over short distances from fixed and mobile devices, creating personal area networks (PANs).
  • Verdict: Correct.
• ii. JPEG is a format for compressed images.
  • Explanation: JPEG (Joint Photographic Experts Group) is a commonly used method of lossy compression for digital images, particularly for those images produced by digital photography.
  • Verdict: Correct.
• iii. SQL is used for creating dynamic web pages.
  • Explanation: SQL (Structured Query Language) is used for managing and manipulating relational databases. It is not used for creating dynamic web pages directly; languages like PHP, ASP.NET, or JavaScript are used for that purpose.
  • Verdict: Incorrect.