Explanation

Formula: Sum = Average × Number of quantities

Calculation: 215 × 40 = 8600

Explanation

Formula: Perimeter = 2 × (Length + Width)

⇒ 66 = 2 × (15 + Width)

Solving: 33 = 15 + Width ⇒ Width = 18 meters.

Explanation

Find a common denominator (LCM of 2, 3, and 4 is 12):

1/2 = 6/12

2/3 = 8/12

3/4 = 9/12

Add them: 6/12 + 8/12 + 9/12 = 23/12.

Explanation

To find the maximum length of each piece, we need the HCF (Highest Common Factor) of 42, 54, and 64.

HCF of 42, 54, and 64 is 2 meters — the greatest length that divides all three without a remainder.

Explanation

The least common multiple (LCM) of 4, 8, and 16 is 16.

The 4th common multiple is: 16 × 4 = 64.

Explanation

Any number raised to a power means multiplying that number by itself repeatedly.

Since 1 × 1 = 1, even when repeated, 1 raised to any power is always 1.

Explanation

The complement of set A (written as A′ or U – A) includes all elements in the universal set U that are not in A.

Hence, it's the difference between U and A.

Explanation

In this sentence, “minute” means extremely small in size, describing the insect.

It is a homograph, spelled the same as "minute" (time), but pronounced differently and has a different meaning.

Explanation

"Four and a half" gives an exact quantity, making it a definite numeral adjective.

Definite adjectives specify a particular number or amount.

Explanation

The adjectives follow the correct order: opinion → size → age → color → material → noun.

"Charming" (opinion), "little" (size), "old" (age), "white" (color), "stone" (material), followed by "house" (noun).