BSF Head Constable Ministerial (HCM) Mock Test - 1 - BSF Head Constable MCQ

The correct answer is: Frugality.

Key Points

• The word "Opulence" means great wealth or luxuriousness; it refers to an abundance of resources or material wealth. (ऐश्वर्य)
  • Example: The opulence of the royal palace was evident in its lavish decorations and luxurious furnishings.
• "Frugality" refers to the quality of being economical with money or food; thriftiness. It implies a contrast to opulence by indicating a careful use of resources and avoidance of waste. (मितव्ययिता)
  • Example: Her frugality helped her save enough money to buy her first home without taking out a loan.
• Hence, we can infer that the opposite of 'Opulence' is 'Frugality'.

Therefore, the correct answer is: Frugality.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Plethora (अधिकता): An excess or overabundance of something.
  • Example: There was a plethora of options on the menu, making it hard to decide what to order.
• Plenitude (परिपूर्णता ): A full supply; abundance.
  • Example: The harvest festival was a time of plenitude and gratitude for the abundance of crops.
• Deluge (बाढ़): A severe flood or an overwhelming number or amount of something.
  • Example: After the viral marketing campaign, they received a deluge of orders.

The correct answer is Option C i.e. Vulnerable.
Key Points

• The word "Susceptible" in English means easily influenced or harmed by something.(संवेदनशील)
  • Example: Children are more susceptible to colds and the flu during the winter season.
• The correct synonym for "Susceptible" as used in the passage is "Vulnerable", which means capable of being physically or emotionally wounded or open to attack or damage.(असुरक्षित)
  • Example: The coastal areas are vulnerable to hurricanes during the monsoon.

Therefore, the correct answer is- Option C
Additional Information

• Option A: "Aroused" means evoked or awakened to activity or to feeling something.(उत्तेजित)
• Option B: "Resistant" means not affected by something; showing resistance.(प्रतिरोधी)
• Option D: "Receptive" refers to willing to consider or accept new suggestions and ideas. (ग्रहणशील)

The correct answer is Option (C)
Key Points

• The subject of the sentence is "School closures"; thus, it makes sense to begin the sentence with this phrase.
• "R: have left many" follows next as it connects logically and grammatically to the subject, providing a reaction to school closures.
• "Q: parents in charge of" adds more context to who "many" refers to and what they've been left to do in response to the school closures.
• "S: overseeing their children’s" complements "Q" by extending the responsibilities of these parents.
• "P: education at home" concludes the sentence perfectly, indicating where this education will be pursued.

Therefore, the correct answer is Option C: RQSP.

The logic followed here is:

thus, "173" will replace the question mark in the given series.
Hence, the correct option is "Option D".

The description is as follows:

Hence, ‘Plant’ is the odd one out.

The logic follows here is :-

B is common side in two dice so, now if we rotate the dice from B in anticlockwise or clockwise directions. From the above diagram is clear that "D is opposite to C", "F is opposite to A", we cannot determine which alphabet is opposite of B.
Hence, "All alphabets, Except A are adjacent of F".
Thus, the correct answer is "All alphabets, Except A".

The logic follows here is:
28 : 98

Similarly,
36 : ?

Hence, the correct answer is "162".

According to the given information:
Step 1: Rocky starts from point A and drives 3 km towards east. He takes left turn and drives 4 km.

Step 2: He again takes a left turn and drives 3 km. He takes one more left turn and drives 2 km and stops at B.

We can see that both the sides are parallel, so point A will be 2 km towards south.
Hence, the correct answer is option A.

The triangles in the given figure are shown below:

Hence, the answer is "18".

The given figure when unfolded is as follows:

Hence, the correct answer is Option B.

Given:
Given Amount (A) = ₹7,535, Rate (R) = 7.4%, Time (T) = 5 years
Formula Used:
1. Simple Interest (SI) Formula: SI = P x R x T/100
2. Amount with Simple Interest: A = P + SI
3. Compound Interest (CI) Formula: A = P(1 + R/100n)^nT

Calculation:
1. Find Principal (P) using Simple Interest:
Using SI formula: A = P + P x R x T/100

⇒ 7535 = P x 1.37
⇒ P = 7535/1.37
⇒ P = 5500
2. Calculate Amount with Compound Interest for 1 year at 20% annual interest rate compounded half-yearly:
Principal (P) = ₹5,500, Rate (R) = 20%, Time (T) = 1 year, n = 2 (half-yearly compounding)
Using CI formula: 


⇒ A = 5500(1 + 0.1)²
⇒ A = 5500(1.1)²
⇒ A = 5500 x 1.21
⇒ A = 6655
∴ The correct answer is ₹6,655 .

The Average of Student appeared from schools A, B and D
= 900/3 = 300
Total number of student passed from school B and D
= 480
∴ The ratio of the average number of students appeared from schools A, B and D to the total number of students passed from schools B and D is 300 : 480
= 5 : 8

Given:

Distance walked = 10 km, Speed while walking = 2.5 km/h, Distance run = 10 km, Speed while running = 5 km/h, Distance by bus = 30 km, Speed by bus = 30 km/h

Formula used:

Average speed = Total distance / Total time

Calculation:

Total distance = 10 + 10 + 30 ⇒ Total distance = 50 km

Total time = (10/2.5) + (10/5) + (30/30) = 7 hours

Average speed = 50/7 ≈ 7.14 km/h

Hence, the average speed of the man is 7.14 km/h.

Given:
The average age of A, B and C =  98/3 
The ratio of Ages of A and (B+C) = 2:5
Ratio of Ages of B and (A+C) = 16:33
Concept used:
Average = sum of elements/number of elements
Calculation:
According to the question,
The average age of A, B, and C = 98/3 
⇒ A + B + C/3 = 98/3 
⇒  A + B + C = 98 -----(1)
The ratio of Ages of A and (B+C) = 2:5
⇒  A/B + C = 2/5 
⇒ A/B + C +1 = 2/5
⇒ A + B + C = 7/5 
Put the value (A + B + C) from equation 1,
⇒ 98/B + C = 7/5 
⇒ B + C = 70 -----(2)
Ratio of Ages of B and (A+C) = 16:33

⇒   B/A + C = 33/16 
⇒   B/A + C + 1 = 16/33

⇒  A + B + C/A + C = 49/33

Put the value (A + B + C) from equation 1,

⇒ 98/A + C = 33/49 

⇒ A + C = 66 -----(3)

Add the equations 2 and 3 and subtract the equation 1,

⇒ (A + B + 2C) - (A + B + C) = 70 + 66 - 98

⇒ C = 38

∴ The correct answer is 38.

Alternate Method
Given:

The average age of A, B and C = 98/3

The ratio of Ages of A and (B + C) = 2:5

Raio of Ages of B and (A + C) = 16:33

Calculation:

According to the question,

The average age of A, B, and C = 98/3 

⇒ A + B + C/3 = 98/3 

⇒ A + B + C = 98 ---------- (1)

The ratio of Ages of A and (B+C) = 2:5

⇒ A/B + C = 2/5 

Let, the value of A = 2 k

The value of (B + C) = 5 k

Put the value in equation 1

⇒ 2 k + 5 k = 98

⇒ 7 k = 98

⇒ k = 14

The value of A = 2 k = 2 x 14 = 28

The value of (B + C) = 5 k = 5 x 14 = 70

The Ratio of Ages of B and (A + C) = 16:33

⇒ B/A + C = 16/33

Let, the value of B = 16 p

The value of (A + C) = 33 p

Put the value in equation 1

⇒ 16 p + 33 p = 98

⇒ 49 p = 98

⇒ p = 2

The value of B = 16 p = 16 x 2 = 32

The value of (A + C) = 33 p = 33 x 2 = 66

⇒ A + C = 66

⇒ 28 + C = 66

⇒ C = 38

∴ The age (in years) of C is 38.

Given
cos θ/(1 + sin θ) + cos θ/(1 - sin θ) = 4
Calculation
[cosθ(1 - sinθ) + cosθ(1 + sinθ)]/[(1 - sinθ).(1 + sinθ)] = 4
⇒ [cosθ - cosθsinθ + cosθ + cosθ sinθ]/(1 - sin²θ) = 4
⇒ 2cosθ/cos2θ = 4
⇒ cosθ= 1/2 = cos 60°
The answer is 60°

Calculation:

Let the amount received by A, B, C, and D be 6x, 13x, 19x, and 21x respectively,

Now, according to the question,

⇒ 13x + 21x = 6x + 19x + 1800

⇒ 34x - 25x = 1800

⇒ 9x = 1800

⇒ x = 200

So, the total amount is,

⇒ 6x + 13x + 19x + 21x

⇒ 59x

Now put the value of x,

⇒ 59 × 200

⇒ 11800

∴ The correct answer is "Rs. 11800".

Given:

P = 1200, T = 8 years

Formula Used:

Amount = Principal + Simple Interest

Simple interest =  P x R x T/100 

Calculation:

Using the above formula -

⇒ 2 × 1200 = 1200 + 1200 x R x 8/100

⇒ 2400 - 1200 = 96 R

⇒ 1200/96 = R = 12.5 %

∴ The correct answer is 12.5

Given:
Two chords AB and CD of a circle intersect at point F inside the circle. If AF = 4 cm, BF = 6 cm and CF = 3 cm.
Concept used:

If PQ and RS are two chords of a circle that intersect at a point M, we can conclude
PM × QM = RM × SM
Calculation:

Accoding to the concept,
AF × BF = CF × DF
⇒ 4 × 6 = 3 × DF
⇒ DF = 24/3
⇒ DF = 8
Now, the length of CD
⇒ (CF + DF)
⇒ 3 + 8
⇒ 11 cm
∴ The length of CD is 11 cm.

Given:-

Speed of train A = 80 km/h

Speed of train B = 100km/h

Formula used:

Distance = Speed × Time

Calculation:-

Let, the time taken to cross-train A is T hr.

According to the question, A leaves the station 30 min earlier

Distance traveled by A in 30 min (i.e. 1/2 hr) = 80 × 1/2 = 40 km.

Distance traveled by A in T hr = 80T

Distance traveled by B in T hr = 100T

Train B will cross train A if

100 T = 80 T + 40

⇒ 20T = 40

⇒ T = 2 hours

So, Train B will take 2 hours to pass train A.

Alternate Method

For train A -

Distance travel in first 1 hour = 40 + 80 = 120 km

Distance travel in next 1 hour = 120 + 80 = 200 km

Distance travel in next 1 hour = 200 + 80 = 280 km

For train B -

Distance travel in first 1 hour = 100km

Distance travel in next 1 hour = 100 + 100 = 200 km

So, Train B passes the train A in 2 hours.

Given:

Statements: “It is difficult to form true selfless friendship with women after their marriage because they always give priority to their family over their friends.” – A woman complains to her husband.

Conclusion:

I. Families should be given priority by the elders to maintain good relations within the family → False (Because it is given in the statement that women always give priority after their marriage to their family over their friends and there is no such information mentioned regarding elders.)

II. Friendship with a married person is not possible → False (Because no such information is given regarding married person.)

Hence, the correct answer is "Option D".

The correct answer is: Option D i.e. A disorderly haste.
Key Points

• The phrase "helter-skelter" means a state of chaos or disorderly haste, often associated with panic or confusion. (अव्यवस्थित जल्दीबाजी में)
  • Example: When the fire alarm went off, everyone ran helter-skelter to the nearest exit.
• "A disorderly haste" refers to hurried actions done in a chaotic and disorganized manner, often due to panic or urgency. (अव्यवस्थित जल्दीबाजी में)
  • Example: After the announcement of the sudden storm, people rushed to their homes in a disorderly haste.

Therefore, the correct answer is: Option D i.e. A disorderly haste.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:

• In great fear (भय में): Experiencing intense fear or terror.
  • Example: She was in great fear when she heard the loud noise in the middle of the night.
• In hurry (जल्दी में): Acting quickly, often due to a lack of time.
  • Example: He left the house in a hurry and forgot his keys.
• In astonishment (आश्चर्य में): Experiencing great surprise or amazement.
  • Example: She looked at the magician in astonishment as he pulled a rabbit out of the hat.

According to the given information,

A symbol should be immediately preceded by a consonant.

Pattern = Consonant → Symbol

The symbols that are immediately preceded by a consonant are as shown below:

(Left) Z D @ Y $ F M J % L R & G I O * A # N V @ P Q ^ E W U ? C (Right)

For the following combinations, the condition is satisfied:

[D@], [Y$], [J%], [R&], [V@], [Q^]

Thus, six symbols are immediately preceded by a consonant in the given series.

Hence, ‘6’ is the correct answer.

Mistake Points

(Left) Z D @ Y $ F M J % L R & G I O * A # N V @ P Q ^ E W U ? C (Right)

[A #] [U ?] are not the part of the sequence because A and U are vowels.

Given Equation: 44 M 24 K 56 L 14 J 60 = ?

Decoding the given information:

Given Equation: 44 M 24 K 56 L 14 J 60 = ?
Now replacing the sign from left to right using BODMAS Rule, we get:
⇒ 44 - 24 × 56 ÷ 14 + 60 = ?
⇒ 44 - 24 × 4 + 60 = ?
⇒ 44 - 96 + 60 = ?
⇒ 104 - 96 = 8
Hence, the correct option is "Option B".

The logic follows here is :-

Given sequence :

Left side K 8 N # 5 B $ H 6 K @ D ^ 6 L # @ 3 L M & 5 Right side

If all the symbols are removed the series is as follows :

Left side K 8 N 5 B H 6 K D 6 L 3 L M 5 Right side

Hence, D is the seventh from the right side.

Thus, the correct answer is "D".

The arrangement of all the given words in the order in which they appear in an English dictionary is as shown below:

The letters F and A are common in the given words, so we will start arranging the word from the third letter in alphabetical order.

1. Fabric
2. Fact
3. False
4. Fan

Thus, 'False' will come third in the English dictionary.

Hence, the correct answer is "False".

The Correct answer is 101' Row 'D' Column.

Key Points

• In MS-Excel365, cells are addressed using a combination of letters and numbers.
• The letters represent the columns, while the numbers represent the rows.
• For example, the cell address D101 indicates that the cell is located at column D and row 101.
• Column D is the fourth column in the Excel sheet.
• Row 101 is the 101st row in the Excel sheet.
• This cell addressing system helps in identifying and locating data efficiently within the spreadsheet.

The correct answer is Asymmetrical Digital Subscriber Line.

Important Points

• Asymmetrical Digital Subscriber Line is a type of digital subscriber line technology a data communications technology that enables faster data transmission over copper telephone lines.
• Asymmetrical Digital Subscriber Line works by using spectrum above band used by voice telephone calls.
• It provides high transmission speed for video and voice over an ordinary copper telephone wire.

The correct answer is REVIEW.
Key Points

• The review tab provides tools for spell check, tracking changes, adding and showing comments to the notes, etc.
• This menu provides Restricted editing options that prevent users from modifying or editing the document. This option makes the document read-only.
• Before sending the document to review, the author can add a password for security reasons. This prevents any user from modifying the document.
• Spelling & Grammar, Thesaurus and Word count are the tools available in the Proofing group.
  • New comments and Show comments are available in the Comments group.

Additional Information

• Comments group lets you add a comment, notes or suggestions to the document. You can add a new comment or see the comments.
• A thesaurus is like a dictionary that lets you quickly search the synonyms and antonyms for different words.
• The Editor in the proofing group lets you check the spelling and grammar in the text.
• The word count option shows the statistics that contain the number of words, spaces, pages etc.

The correct answer is To close a document

Key Points

• The 'Ctrl + W' keyboard shortcut in Microsoft Office Suite, including Word 365, is commonly used to close the current window or document. It's a convenient keyboard shortcut because it saves you having to navigate to the File menu and click 'Close'.
• Once you press 'Ctrl + W', if any changes were made to the document that haven't been saved, Word will prompt you to save changes before closing. So, it's a safe command to use without worrying about losing unsaved work.
• Please note that it doesn't shut down the Word application entirely, it only closes the current active document. If you have multiple documents open, you'll need to use the command for each one you want to close.

Additional Information

• Ctrl + S: Save the document. If it's not yet saved anywhere, it will prompt you to choose a location and name.
• Ctrl + O: Open a document.
• Ctrl + N: Create a new document.
• Ctrl + P: Print the document.
• Ctrl + Z: Undo an action.
• Ctrl + Y: Redo an action.
• Ctrl + X: Cut the selected content to the Clipboard.
• Ctrl + C: Copy the selected content to the Clipboard.
• Ctrl + V: Paste the contents of the Clipboard.
• Ctrl + A: Select all content in the document.
• Ctrl + B: Bold the selected text.
• Ctrl + I: Italicize the selected text.
• Ctrl + U: Underline the selected text.
• Ctrl + F: Open the Find dialog box.
• Ctrl + H: Open the Find and Replace dialog box.
• Ctrl + E: Center align the text.
• Ctrl + L: Left align the text.
• Ctrl + R: Right align the text.
• Ctrl + J: Justify the text.
• F12: Save the document as a new file.