Explanation

• Characterization is a strategy used to analyze an object, concept, or character by identifying and describing its key features, characteristics, and attributes. 
• This involves examining and interpreting the subject's qualities, properties, and traits to gain a deeper understanding of its nature, significance, and relevance.

Explanation

Let the first person's investment be x. Then, the second person's investment is x + 1000, and the third person's investment is (x + 1000) + 1000 = x + 2000.

We know that the total investment is Rs. 9000, so we can set up the equation: x + (x + 1000) + (x + 2000) = 9000.

Combine like terms: 3x + 3000 = 9000.

Subtract 3000 from both sides: 3x = 6000.

Divide by 3: x = 2000.

So, the first person invested Rs. 2000, the second person invested Rs. 3000 (2000 + 1000), and the third person invested Rs. 4000 (3000 + 1000).

The profit share of each person is in the ratio of their investments. Let's find the total profit share of the third person: (4000 / 9000) x 5400 = 2400.

Explanation

Let the two consecutive positive integers be x and x + 1

x2 + (x + 1)2 - x(x + 1) = 91

x2 + x - 90 = 0

(x + 10)(x - 9) = 0 => x = -10 or 9.

As x is positive x = 9

Hence the two consecutive positive integers are 9 and 10.

Explanation

A and B have invested Rs. 6000 and Rs. 8000 respectively, which means their capital ratio is:

A : B = 6000 : 8000 = 3 : 4

Since they are sharing the profits at the end of the year, it is assumed that they are sharing the profits in the ratio of their investments.

Therefore, the profit-sharing ratio should also be 3:4.

So, if the total profit is x, A should get 3x/7 and B should get 4x/7.

Explanation

The nominal rate of interest is 6% per annum, payable half-yearly. This means that the interest is compounded twice a year.

To find the effective annual rate of interest, we can use the formula:

Effective Rate = (1 + (Nominal Rate/2))^2 - 1

where Nominal Rate = 6% = 0.06

Effective Rate = (1 + (0.06/2))^2 - 1

= (1 + 0.03)^2 - 1

= (1.03)^2 - 1

= 1.0609 - 1

= 0.0609

= 6.09%

So, the effective annual rate of interest is 6.09%.

Explanation

• A Field Trip is an activity outside the classroom that provides hands-on experience with objects or people in specific places.
• It helps students connect theoretical knowledge with real-world experiences, making learning more engaging and meaningful.

Explanation

A right circular cylinder of radius r cm and height h cm (h > 2r) just encloses a sphere, which means the sphere is inscribed in the cylinder.

The diameter of the sphere is equal to the diameter of the circular base of the cylinder, which is 2r cm.

Explanation

Microteaching requires:

• Controlled environment: A structured setting to focus on a specific skill.
• Repeated manifestation of only one skill: Isolating a single skill to practice and master.
• Observation and criticism: Feedback and evaluation to improve performance.

Explanation

• In the teaching-learning process, task analysis is an essential initial step.
• This involves breaking down the content and skills into smaller, manageable components, which then inform the determination and writing of specific objectives, and the selection of appropriate strategies.