BSF Head Constable Ministerial (HCM) Mock Test - 8 - BSF Head Constable MCQ

The correct answer is Option A i.e. inseparable, fix, detail, directions.
Key Points

• Earphones have become an inseparable part of our lives, indicating their constant presence and use in daily activities.
• The electrician was asked to fix something, which implies repairing or correcting a problem.
• Instructions were given in detail, ensuring that the explanation was thorough and comprehensive.
• However, the instructions were not followed as expected due to the electrician not hearing them clearly, leading to a lack of action on the given directions.

Therefore, the correct answer is- Option A: inseparable, fix, detail, directions.
Additional Information

• Inalienable means something that cannot be taken away or denied. It is not the best fit in this context.
• Rehabilitate refers to restoring to a condition of good health, ability to work, or the like. It is more specific to recovery from injury or addiction.
• Replace means to provide a substitute or equivalent in the place of. It does not fit the context of repairing something.
• Reconstruct means to rebuild something that has been damaged or destroyed, which is more extensive than what is implied by "fix".

The correct answer is "Impatient "
Key Points

• Restive means resistant to control or difficult to manage. It can also refer to being restless or impatient. (अशांत)
  • Example: The horse became restive as the rider tried to guide it through the crowded streets.

Let's see the meanings of the given words

• Impatient means feeling or showing a strong desire or eagerness to do or have something, especially because of a delay or obstruction. (अधीर; कुछ करने या पाने की प्रबल इच्छा या उत्सुकता महसूस करना या दिखाना)
  • Example: The impatient driver honked the horn repeatedly as they waited for the traffic light to turn green.
• Inactive means not active or engaged in a particular activity or occupation. It can also refer to something that is not functioning or operating. (निष्क्रिय)
  • Example: The computer has been inactive for several hours, so it has entered sleep mode to conserve energy.
• Lonely means feeling sad and isolated because one has no friends or company. It can also refer to a situation in which a person is alone and lacks companionship. (अकेला)
  • Example: After his wife passed away, the old man lived a lonely life in the big house all by himself.
• Peaceful means quiet and calm, without any disturbance or turmoil. It can also refer to a state of tranquility or serenity. (शांतिपूर्ण)
  • Example: The peaceful sound of the flowing stream and the chirping birds helped the hikers relax after a long day on the trail.
• According to the meanings of the given words, the correct answer is Option A, i.e., Impatient.

The correct answer is "back "
Key Points
Look at the selected option within the context of the sentence:

• Bring back- to take back.
• The passage is talking about the bringing back of the astronaut.
  • Look at the examples:
    • Her sister brought him back from the prison.
    • The army brought back the lost soldier.

Hence, the correct passage: Russia on Friday launched a new rescue capsule from Kazakhstan that will eventually bring back three astronauts whose original return capsule was found to be punctured. Loaded with supplies, the Soyuz MS-23 vessel was launched from the Russian-operated Baikonur Cosmodrome. It is slated to reach the orbiting lab and dock with the International Space Station on Sunday. However, it is not going to bring back the three astronauts—UUS astronaut Frank Rubio and Russian cosmonauts Dmitry Petelin and Sergei Prokopyev—until September.

• let's look at the meaning of the given word and the correct answer.
• Amazed(adjective): extremely surprised. (बेहद हैरान।)
  • ​Example: She was amazed at how calm she felt after the accident.
• Surprise(adjective): an unexpected event. (एक अप्रत्याशित घटना।)
  • Example: Don't tell Anne we've arranged a party for her - I want it to be a surprise.
    

Hence, the word Surprise is the most appropriate synonym for Amazed.

Additional Information

• Let's explore the meaning of other options:
• Bore(verb): to talk or act in a way that makes someone lose interest. (इस तरह से बात करना या कार्य करना जिससे किसी की रुचि कम हो जाए।)
  • Example: "Am I boring you?" she asked anxiously.
• Calm(adjective): peaceful, quiet, and without worry. (शांतिपूर्ण, शांत और बिना किसी चिंता के।)
  • Example: He has a very calm manner.
• Expect(verb): to think or believe something will happen, or someone will arrive. (सोचने या विश्वास करने के लिए कुछ होगा, या कोई आ जाएगा।)
  • Example: We are expecting a lot of applicants for the job.

The logic follows here is:
Logic: Step I: The images at top and bottom are getting rotated at 90 degree and shifted one place to the clockwise direction.
Step II: The center image is getting rotated at 90 degree to the clockwise direction.

Hence, the correct answer is "Option B".

The logic followed is:
Sum of the square of outer number = Middle number
In fig 1:
3² + 2² + 2² + 4² = 33
9 + 4 + 4 + 16 = 33
33 = 33
In fig 2:
32 + 22 + 4² + 5² = 54
9 + 4 + 16 + 25 = 54
54 = 54
Similarly,
In fig 3:
3² + 42 + 52 + 6² = ?
9 + 16 + 25 + 36 = ?
86 = ?
Hence, the correct answer is "86".

In mirror image questions the basic concept is that the right side of the object appears in the left side or vice versa, in case the mirror is placed vertically as shown below:

Hence, ‘option no.1’ is the correct answer.

As per the given information:

• P is the second youngest among the six students. ​

• ​Only three students are older than T.

​

• Q is younger than only U. ​

• R is NOT the youngest.

• ​Thus, the final arrangement is :

Clearly, the third oldest among the six students is 'R'.
Hence, the correct answer is "R".

The logic followed here is:

• WNJ : SSD

​

Similarly,

• TKZ : ?

Thus, 'TKX' is related to 'PPT'.
Hence, the correct answer is "PPT".

The mirror image of the given combination is:

Now we consider the given options:
Option A) The combination is correct.
Option B) 'h' is inverted and 'q' is not mirrored.
Option C) '5' and 'q' is not inverted.
Option D) The combination is inverted.

Hence the correct answer is option A)

Given:
r₁ + r₂ = 9 units.
The sum of the volumes of A and B is 792 cubic units.
Formula Used:
The volume of a sphere = (4/3)πr³
Calculation:
Given: r₁ + r₂ = 9
Volume of sphere A =
Volume of sphere B =
Sum of volumes = 792

Substituting π = 22/7

We know that
Given r₁ + r₂ = 9:

⇒ 729 = 189 + 27r₁r₂
⇒ 27r₁r₂ = 540
⇒ r₁r₂ = 20
We need to find

∴ The correct answer is 41 (D).

Given

Total time by walking both ways = 6 hours

Time saved by riding both ways = 2 hours

Total distance = 20 miles

Concept:

Average speed = Total distance/Total time

Solution:

Time has taken on walking both ways at constant speed = 6 hrs

Time has taken on walking one way at constant speed = 6/2 ⇒ 3 hrs

He gained 2 hours by riding on both ways

Time taken on riding both ways at constant speed = 6 - 2 = 4 hrs

Time has taken on riding one way = 4/2 ⇒ 2 hrs

Total time taken if he goes walking and comes by riding = 3 hrs + 2 hrs ⇒ 5 hrs

Total journey distance = 20 miles

∴ Average speed = 20/(3 + 2) = 20/5 = 4 miles per hour

Concept use:

The perimeter of the rectangle = 2 × (length + breadth)

The Perimeter of Square = 4 × a (where a is the Side of Square)

Calculations:

The side of the square is given as 48 cm, so the perimeter of the square is 4 × 48 = 192 cm.

The length of the rectangle is 1 1/2times the side of the square So, the length of the rectangle is (3/2) × 48 = 72 cm.

The breadth of the rectangle is (2/3) times the side of the square.

So, the breadth of the rectangle is (2/3) × 48 = 32 cm.

The perimeter of the rectangle is given by 2 × (length + breadth) = 2 × (72 + 32) = 2 × 104 = 208 cm.

Difference = Perimeter of the rectangle - Perimeter of square = 208 - 192 = 16 cm.

Hence, The Correct Answer is the option no D.

Given:

∠AOB = 160°

∠OAC = 50°

Calculation:

In the given figure,

OB = OA = radius of the circle

So, ∠OAB = ∠OBA = (180° - 160°)/2

⇒ 20°/2 = 10°

So,

∠BAC = ∠OAC - ∠OAB

⇒ ∠BAC = 50° - 10°

⇒ ∠BAC = 40°

∴ The value of ∠BAC is 40°.

Given:

Total gifts = 650

First child receives a part, Second child receives twice the part of the first child, Third child receives thrice the part of the first child, Fourth child receives four times the part of the first child

Formula Used:

Total gifts = First child + Second child + Third child + Fourth child

Calculation:

Let the part received by the first child be x .

Second child receives 2x .

Third child receives 3x .

Fourth child receives 4x .

Total gifts = x + 2x + 3x + 4x = 650

⇒ 10x = 650

⇒ x = 65

First child receives = x = 65

Second child receives = 2x = 2 × 65 = 130

First and Second child collectively = 65 + 130 = 195

The total number of toys received by the first and the second child collectively is 195.

Calculation:

Let the cost per kg of the two varieties of wheat be 3x kg and 2x kg.

Then, the Cost Price of the two types of wheat be

⇒ 3x × 8 + 2x × 12

⇒ 24x + 24x

⇒ Rs. 48x

Then,

The Selling Price of the mixture = 48x + (0.25 × 48x)

The Selling Price of the mixture = 48x + 12x

The Selling Price of the mixture = Rs. 60x

The selling price of the blended wheat per kg = 60x / (8 + 12)

The selling price of the blended wheat per kg = 60x / 20

The selling price of the blended wheat per kg = Rs. 3x

The cost price of superior variety wheat per kg = 3x

Therefore,

The ratio of the selling price of the blended wheat per kg to that of the cost price of the superior variety of wheat per kg = 3x : 3x

The ratio of the selling price of the blended wheat per kg to that of the cost price of the superior variety of wheat per kg = 1 : 1

Given:

A takes 3 hours more than B to walk 'd' km.

If A doubles his speed, then he can make it in 1 hour less than B.

Concept used:

Time = Distance/speed

Calculation:

Let the speed of the A be a and B be b

According to the question,

(d/a) - (d/b) = 3 ----(i)

Again,

(d/b) - (d/2a) = 1 ----(i)

By adding eq (i) and eq (ii) we get,

d/2a = 4

⇒ d/a = 4 × 2 = 8

So, it will take 8 hours by A to cover the distance d

∴ A requires 8 hours to walk 'd' km.

Given:

CP = Rs. 50/kg

Actual profit = 20%

Uses 800 grams instead of 1 kg

Formula Used:

Profit % = ((SP - CP)/CP) × 100

Loss % = ((CP - SP)/CP) × 100%

Calculation:

Cost price of 1000 grams sugar = Rs. 50

He gives 800 grams instead of 1000 grams

Cost price of 800 grams = Rs. (800/1000) × 50

⇒ Cost price of 800 grams = Rs. 40

The actual profit percent is 20%

Profit % = ((SP - CP)/CP) × 100

⇒ 20 = ((SP - 40)/40) × 100

⇒ SP - 40 = 8

⇒ SP = Rs. 48

Loss % = ((CP - SP)/CP) × 100%

⇒ Loss % = ((50 - 48)/50) × 100

⇒ Loss % = 4%

∴ The shopkeeper sells 1 kg sugar at a loss of 4%.

Given:

Height of tetrahedron = 6√3 cm

Formula used:

Height of tetrahedron = (√2/√3) × side

Volume of tetrahedron = (√2/12) × side³

Calculation:

∵ Height of tetrahedron = (√2/√3) × side

⇒ 6√3 = (√2/√3) × side

⇒ [(6√3) × √3]/√2 = side

⇒ Side = 18/√2 cm

∴ Volume of tetrahedron = (√2/12) × side³

= (√2/12) × (18/√2)³

= (√2 × 18 × 18 × 18)/(12 × √2 × √2 × √2)

= 243 cm³

As per the given information,

The shaded part represents → artists are both players and doctors
Hence, the correct answer is "C".

The table shows the place value of the alphabet from A to Z and Z to A.

The logic followed here is:
PERINATH is written as QFQHOBSG

And,
POLE as QPKD

Similarly,
SYNDROME be written as

Therefore, SYNDROME is coded as "TZMCSPLD".
Hence, the correct answer is "Option (D)".

The positions of letters according to the English alphabet series:

The logic follows here is:

For, AFK →

For, NSX →

For, TWZ →

For, PUZ →

For, KPU →

The logic followed in 'TWZ' is different from others.

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

As per the given information:

Let, A = x

B = 2x

F = 4x

C = x/2

and, D = x/4

Thus, the arrangement is:

F > B > A > C > D

Here, we can see that 'B' is the second oldest among all.

Hence, the correct answer is "A".

Given:

Given Code: '# 3 2 < &'
Here, Rule no.1 is applied in the given code.
If the first element is a symbol and the third a number, the codes for these two are to be interchanged.
So, the code for '# 3 2 < &' is " M F A W Y.
Hence, the correct answer is 'Option C'.

The correct answer is Option D.
Key Points
Windows10 Keyboard Shortcuts

• Shift + Delete - This shortcut is used to delete selected items without moving them to the Recycle Bin. It is a permanent delete option. Hence, (a) matches with (ii).
• Alt + Spacebar - This shortcut is used to open the shortcut menu for the active window. This menu typically includes options like Restore, Move, Size, Minimize, Maximize, and Close. Hence, (b) matches with (iii).
• Shift + Ins - This shortcut is used to paste selected items. It is an alternative to the more commonly known Ctrl + V shortcut. Hence, (c) matches with (iv).
• Ctrl + X - This shortcut is used to cut the selected item. It removes the item from its current location and stores it in the clipboard for pasting elsewhere. Hence, (d) matches with (i).

Additional Information

• Windows Keyboard Shortcuts - Windows operating systems provide a variety of keyboard shortcuts to enhance user efficiency and productivity. These shortcuts allow users to perform tasks quickly without the need for a mouse.
• Shift + Delete - This shortcut is particularly useful when you want to permanently delete files or folders without sending them to the Recycle Bin. Be cautious when using this shortcut as it bypasses the Recycle Bin, making recovery more difficult.
• Alt + Spacebar - This shortcut opens the system menu for the active window. It is useful for managing windows, especially when the title bar is not accessible or visible.
• Shift + Ins - This shortcut is often used in text editors and document processors to paste content from the clipboard. It is less common but equally effective as Ctrl + V.
• Ctrl + X - The cut command is essential for moving text, files, or folders from one location to another. It temporarily stores the cut item in the clipboard until it is pasted elsewhere using Ctrl + V or Shift + Ins.

The correct answer is i - True, ii - True

Key Points

• Statement i: This is true. In MS-Word 365, you can use the 'Track Changes' feature to keep track of edits made to a document.
• Statement ii: This is true. The 'Track Changes' feature is found under the 'Review' tab in MS-Word 365.

So, the statements are: i - True ii - True

The correct answer is Only i, ii, iii, and iv

Key Points

• Statement i: This is correct. The shortcut to move to the next worksheet in Excel is Ctrl + Page Down.
• Statement ii: This is correct. The shortcut to move to the previous worksheet in Excel is Ctrl + Page Up.
• Statement iii: This is correct. Worksheet names can contain spaces.
• Statement iv: This is correct. You can insert a new worksheet by clicking the plus (+) icon next to the last sheet tab.

So all four statements are correct.

The correct answer is (iii) and (iv).

Key Points

• Windows 10, developed by Microsoft, is an operating system designed with various notable features that optimize a user's computing experience:
• Multitasking : In Windows 10, users can easily switch between multiple applications or tasks that are operating simultaneously. This allows users to maximize productivity and efficiency in managing their tasks on the operating system.
• Multiprogramming : Windows 10 is capable of executing multiple programs or tasks, each of which belongs to different users. It can manage tasks and resources proficiently, ensuring that each program has the necessary processing power and memory for successful execution.

Windows 10 does not adhere to the processing methodologies of real-time operating systems or batch processing systems. Hence, options (i) and (ii) are not inherent characteristics of this OS.Additional Information About Window 10

• Release and Prevalence: It was introduced by Microsoft in July 2015 and is commonly used on personal computers globally.
• Start Menu: The system features a redefined Start Menu, which creatively combines aspects of the traditional Start Menu and the live tiles of its predecessor.
• Cortana: It integrates Cortana, a comprehensive personal assistant that provides notifications, reminders, and can even facilitate web-based inquiries using Bing as the search engine.
• Edge Browser: A new web browser, Microsoft Edge, was introduced with this operating system as a replacement for Internet Explorer.
• Universal Apps: The operating system brought about Universal Apps, which can function across any device running the same platform.
• Continuum Feature: This capability ensures a smooth user interface experience across various types of devices—touchscreen and non-touchscreen alike.
• Security and Updates: Enhanced security measures are integrated, and regular updates are provided to maintain system health.
• Multitasking and Multiprogramming: This platform supports multitasking and multiprogramming, enabling multiple applications and tasks from different users to run simultaneously.

The base of a binary number system is ' 2'.

Key Points

• The term "base" in a number system refers to the number of unique digits, including zero, that a positional numeral system uses to represent numbers.
• In the binary number system, the base is 2. This means it uses only two digits: 0 and 1.
• Each digit in a binary number represents an increasing power of 2, starting from the rightmost digit (which represents 2^0).
• The binary system is the foundation of all binary code, which is used in computer and digital system operations.
• Binary numbers are essential in computing because they can be easily implemented with digital electronic circuitry that uses logic gates.

Additional Information

• The binary system is also known as the base-2 system.
• Other common number systems include the decimal system (base 10), the octal system (base 8), and the hexadecimal system (base 16).
• Binary code is the language that computers use to process data. Each bit in a binary number can represent a state of either on or off in the computer's memory.

The correct answer is Cache Memory.

Key Points

• Cache memory is a special very high-speed memory.
  • It is used to speed up and synchronize with the high-speed CPU. Cache memory is more expensive than main memory or disk memory but economical as compared to CPU registers.
  • Cache memory is an extremely fast memory type that acts as a buffer between the RAM and the CPU.
  • It holds frequently requested data and instructions so that they are immediately available to the CPU when needed.
  • Cache memory is used to reduce the average time to access data from the main memory.

Additional Information

• Secondary Memory:
  • It is non-volatile, i.e. it retains data when the power is turned off.
  • It is cheaper than primary memory.
  • Depending on whether the second memory device is part of the CPU, there are two types of secondary memory – fixed and removable.
  • Hard drives, SSD, Flash, Optical drives, USB drives are some examples of secondary memory in computers.