Explanation

Lord Mayo, the Viceroy of India from 1869 to 1872.

He established a college for the children of princely rulers in Ajmer.

This college was known as the Mayo College.

It's purpose was to provide education to the heirs of the princely states.

Explanation

In the word "subtle," the "b" is silent and not pronounced.

The pronunciation of "subtle" sounds like "sut-l," with the "b" remaining unspoken.

Explanation

In the word "sandwich," the "d" is silent and not pronounced.

The pronunciation of "sandwich" sounds like "san-wich," with the "d" remaining unspoken.

Explanation

"Will" is used to express future predictions or certainty, like weather forecasts.

So, "There will be heavy snow tomorrow" correctly predicts future weather.

Explanation

Given:

HCF = x - 3

LCM = x³ - 9x² + 26x - 24

First polynomial = x² - 5x + 6 (corrected to x² - 5x - 6 doesn't seem right with given HCF, assuming it's x² - 5x + 6 for calculation purposes)

Product of two polynomials = Product of HCF and LCM

Let's denote the second polynomial as P(x).

(x² - 5x + 6) × P(x) = (x - 3) × (x³ - 9x² + 26x - 24)

Factoring LCM:

x³ - 9x² + 26x - 24 = (x - 3)(x² - 6x + 8)

Now, factoring the first polynomial:

x² - 5x + 6 = (x - 3)(x - 2)

(x - 3)(x - 2) × P(x) = (x - 3) × (x - 3)(x² - 6x + 8)

P(x) = (x - 3)(x² - 6x + 8) / (x - 2)

= (x - 3)(x - 2)(x - 4) / (x - 2)

= (x - 3)(x - 4)

= x² - 7x + 12

Explanation

Let's denote the first number as x and the second number as y.

Given equations:

1. 2x + 3y = 61

2. 4x - 5y = 45

We can solve these equations using substitution or elimination. Let's use elimination.

Multiplying equation 1 by 2:

4x + 6y = 122

Now subtracting equation 2 from this:

(4x + 6y) - (4x - 5y) = 122 - 45

11y = 77

y = 7

Explanation

Nested loops are loops placed inside another loop.

It allowing complex iteration through multi-dimensional data structures.

They are commonly used for tasks like processing matrices or multi-level data.

Explanation

Total population = 6000

In service: 0.05 × 6000 = 300

In trade: 0.4 × 6000 = 2400

Labourers: 0.06 × 6000 = 360

Total employed = 300 + 2400 + 360 = 3060

Jobless = 6000 - 3060 = 2940

Explanation

Non-formal education is often delivered through flexible, distance-learning methods, where learners can study independently.

It provides opportunities for education outside traditional classroom settings, often aimed at adults or specific community groups.

Explanation

The example illustrates the factorization process:

x² - 9 = (x - 3)(x + 3)

This is a difference of squares, where the expression is factored into two binomials.

The factorization process involves expressing an algebraic expression as a product of simpler expressions, often to simplify or solve equations.