Explanation

"The" is used for a specific person or thing known to the speaker and listener.

"Boy in red shirt" is a specific boy, so "The" is appropriate.

Explanation

To find the fourth proportional, let's denote it as x. The proportion will be:

3 : 9 = 7 : x

We can cross-multiply:

3x = 9 × 7

3x = 63

x = 63 / 3

x = 21

Explanation

Given:

Side of square = 1200 cm

Width of strip = 10 cm

Side of larger square (including strip) = 1200 + 2(10)

= 1200 + 20

= 1220 cm

Area of larger square = 1220² = 1488400 cm²

Area of square = 1200² = 1440000 cm²

Area of strip = Area of larger square - Area of square

= 1488400 - 1440000

= 48400 cm²

Explanation

A transitive verb requires a direct object to complete its meaning — here, "closed" acts on "the door".

The verbs sat, smiled, arrived are intransitive, meaning they do not take a direct object.

Explanation

The denotative meaning is the literal or dictionary definition of a word — in this case, a volunteer is someone who offers services willingly without pay.

This is different from connotative meanings, which involve emotions or associations related to the word.

Explanation

The points form a scalene triangle:

Calculate the distances AB, BC, and AC. If all sides are unequal, it's a scalene triangle.

AB = √((1 - (-4))² + (4 - (-2))²) = √(5² + 6²) = √61

BC = √((6 - 1)² + (11 - 4)²) = √(5² + 7²) = √74

AC = √((6 - (-4))² + (11 - (-2))²) = √(10² + 13²) = √269

All sides are unequal (√61 ≠ √74 ≠ √269), so the points form a scalene triangle.

Explanation

The Kashmir culture is a blend of multiple customs.

This option follows the correct subject + verb + complement sentence structure.

It clearly conveys the idea that Kashmir's culture combines various customs in a grammatically correct way.

Explanation

"Reign" means the rule or period of power of a king or queen — matches the meaning of the sentence.

It is the correct homophone (same sound, different meaning/spelling) for this royal context.

Explanation

When zinc reacts with dilute sulfuric acid, it forms zinc sulfate (ZnSO₄) and releases hydrogen gas (H₂).

The reaction is:

Zn + H₂SO₄ → ZnSO₄ + H₂↑

Explanation

The average is calculated by dividing the sum of quantities by the number of quantities. Therefore, the number of quantities can be found by dividing the sum by the average.

Number of quantities = Sum / Average

Number of quantities = 5200 / 650

Number of quantities = 8