The correct answer is (B) 4 hours

Explanation:

To determine how long it will take to fill the tank when all three pipes are opened simultaneously, let’s analyze the rates at which each pipe operates.

1. Inlet Pipe 1:
– Fills the tank in 4 hours.
– Rate: 1/4 of the tank per hour.

2. Inlet Pipe 2:
– Fills the tank in 6 hours.
– Rate: 1/6 of the tank per hour.

3. Outlet Pipe:
– Empties the tank in 8 hours.
– Rate: -1/8 of the tank per hour (negative since it’s emptying).

Net Filling Rate:
Net Rate = 1/4 + 1/6 – 1/8

To add these fractions, find a common denominator, which is 24:

1/4 = 6/24, 1/6 = 4/24, 1/8 = 3/24

Net Rate = 6/24 + 4/24 – 3/24 = 7/24 of the tank per hour

Time to Fill the Tank:
Time = 1 tank / (7/24 tanks per hour) = 24/7 hours ≈ 3.43 hours

Since the answer choices are in whole hours, the tank will be filled in just over 3 hours. However, since you can’t choose a fraction of an hour from the options provided, the next whole hour is 4 hours.

Answer: (B) 4 hours

The correct answer is (A) 21.

Explanation:

Let’s solve this step by step:

1) First two numbers are 2 and 3

2) Let’s find each subsequent number:
3rd number: 2 + 3 = 5
4th number: 3 + 5 = 8
5th number: 5 + 8 = 13
6th number: 8 + 13 = 21

3) So the sequence is: 2, 3, 5, 8, 13, 21

4) The 6th number is 21

Therefore, the answer is (A) 21.

The correct answer is (B) $5,000.

Explanation:

Let’s solve this step by step:

1) The man spends: 30% on rent & 20% on food
Total spending = 30% + 20% = 50% of salary

2) After these expenses (50%), he has $2,500 left
This $2,500 represents the remaining 50% of his salary

3) If $2,500 = 50% of salary
Then 100% (total salary) = $2,500 × (100/50)
Total salary = $2,500 × 2 = $5,000

The answer is (B) $5,000.

The correct answer is (D) None of the above

Explanation:

Let’s solve the problem step by step.

Let the two-digit number be 10x + y where x is the tens digit and y is the units digit.

1. Sum of the digits is 9:
x + y = 9 (Equation 1)

2. Reversing the digits makes the number 9 less than the original:
10y + x = 10x + y – 9 (Equation 2)

Simplify Equation 2:
10y + x = 10x + y – 9
9y – 9x = -9
y – x = -1 (Equation 3)

3. Substitute Equation 3 into Equation 1:
x + (x – 1) = 9
2x – 1 = 9
2x = 10
x = 5

Then, using Equation 3:
y = x – 1 = 5 – 1 = 4

4. Original Number:
10x + y = 10(5) + 4 = 54

Checking the Options:
– (A) 27 ➔ 7 + 2 = 9 (Valid), but reversing gives 72 which is not 27 – 9 = 18
– (B) 45 ➔ 4 + 5 = 9 (Valid), but reversing gives 54 which is not 45 – 9 = 36
– (C) 63 ➔ 6 + 3 = 9 (Valid), but reversing gives 36 which is 63 – 27 ≠ 9
– (D) None of the above

Since 54 is not listed in the provided options, the correct answer is:

Answer: (D) None of the above

Correct Answer: (B) Distributing food and water

Explanation:
In the event of severe flooding, the immediate priority is to address the basic survival needs of the affected population. Food and clean drinking water are essential for sustaining life and preventing further health crises, such as dehydration or malnutrition.

– Option (A) Repairing roads: While repairing roads is important for restoring connectivity and facilitating relief efforts, it is not the most immediate concern compared to ensuring people’s survival.
– Option (C) Rebuilding houses: Rebuilding houses is a long-term recovery measure and cannot be prioritized over immediate survival needs.
– Option (D) Organizing entertainment to lift people’s spirits: While morale is important, entertainment is not a critical need during an emergency situation.

Thus, distributing food and water (Option B) is the most urgent and appropriate action to take in this scenario.

Correct Answer: (A) Terabyte

Explanation:
To determine the largest storage unit, let’s compare the sizes of the given units in ascending order:

1. Kilobyte (KB): 1 Kilobyte = 1,024 Bytes
2. Megabyte (MB): 1 Megabyte = 1,024 Kilobytes
3. Gigabyte (GB): 1 Gigabyte = 1,024 Megabytes
4. Terabyte (TB): 1 Terabyte = 1,024 Gigabytes

From this hierarchy, it is clear that Terabyte (TB) is the largest storage unit among the options provided.

Correct Answer: (B) 1959

Explanation:

Educational television was first introduced in India on September 15, 1959, in New Delhi. This initiative was supported by UNESCO. After a gap of about 13 years, the second television station was established in Bombay in 1972.

Therefore, the correct answer is (B) 1959.

Correct Answer: (B) 10111

Explanation:
To convert the decimal number 23 into its binary equivalent, we repeatedly divide the number by 2 and record the remainders. The binary number is obtained by reading the remainders from bottom to top.

Step-by-step conversion:
1. 23 ÷ 2 = 11 remainder 1
2. 11 ÷ 2 = 5 remainder 1
3. 5 ÷ 2 = 2 remainder 1
4. 2 ÷ 2 = 1 remainder 0
5. 1 ÷ 2 = 0 remainder 1

Now, reading the remainders from bottom to top, we get 10111.

Thus, the binary equivalent of the decimal number 23 is 10111, and the correct answer is (B) 10111.

Correct Answer: (C) Relationships

Explanation:
In MS Access, a database object is a component that stores or manages data within the database. The primary database objects in MS Access include:

1. Tables: Used to store data in rows and columns.
2. Queries: Used to retrieve and manipulate data from tables.
3. Forms: Used to create a user-friendly interface for data entry and viewing.
4. Reports: Used to format and present data in a printable format.
5. Macros and Modules: Used for automating tasks and adding functionality.

Relationships, on the other hand, are not considered a database object. They are a way to define how tables are related to each other within the database. Relationships are a feature or property of the database structure, but they are not standalone objects like tables, queries, reports, etc.

Thus, the correct answer is (C) Relationships.

The correct answer is: (B) Sit squarely, Open posture, Lean towards the speaker, Eye contact, Relax

Explanation:

SOLER model

The SOLER model is a framework used in communication, especially in counseling and active listening, to show attentiveness and create a positive environment for effective communication.

1. Sit squarely: Position yourself facing the person to show engagement and attentiveness.
2. Open posture: Avoid crossing arms or legs to convey openness and receptivity.
3. Lean towards the speaker: Slightly leaning forward shows interest and focus on the conversation.
4. Eye contact: Maintain appropriate eye contact to demonstrate attentiveness and connection.
5. Relax: Stay calm and composed to make the other person feel comfortable and at ease.

This model is commonly used in professional and therapeutic settings to improve communication and build rapport.