Explanation

To find the Highest Common Factor (HCF), list the factors of each number:

135: 1, 3, 5, 9, 15, 27, 45, 135

540: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

675: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

765: 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 765

The highest common factor among these numbers is: 45.

Explanation

According to the World Health Organization (WHO), health is defined as a state of complete physical, mental, and social well-being, not just the absence of disease.

This holistic approach emphasizes overall wellness, including emotional and psychological aspects.

Explanation

Given the total number of schools is 85:

Step 1: Calculate the number of schools completed.

Number of schools completed = 3/5 × 85

= 3 × 17

= 51

Explanation

Given the area of the square garden is 529 m²:

Step 1: Find the length of one side of the square.

Area = side²

529 = side²

side = √529

side = 23 m

Step 2: Calculate the perimeter of the square.

Perimeter = 4 × side

= 4 × 23

= 92 m

The length of wire required to cover all its sides is equal to the perimeter.

Explanation

Given:

Selling Price (SP) = Rs. 49755

Profit Percentage = 7%

Let Cost Price (CP) be x.

SP = CP + Profit

49755 = x + 7% of x

49755 = x + 0.07x

49755 = 1.07x

x = 49755/1.07

x = 46500

Explanation

"Book" has a short vowel sound /ʊ/ as in "good" or "foot."

"Ball" has a long /ɔː/ sound and "Read" (present tense) has a long /iː/ sound.

Explanation

To find the Arithmetic Mean (AM), we need to sum all the values and divide by the number of values:

Values: 2, 3, 4, 5, 6, 7, 8, 9, 10

Sum = 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

= 54

Number of values = 9

Arithmetic Mean = Sum / Number of values

= 54 / 9

= 6

Explanation

In One Day International (ODI) cricket, a bowler can bowl a maximum of 10 overs during a match.

In a T20 match, the maximum number of overs a bowler can bowl is 4.

Explanation

The correct phrase is "pay deference to", meaning to show respect or submission.

"To" is the correct preposition used with "deference."

Explanation