Explanation

The diameter of a circle is considered to be the longest chord because it joins to points on the circumference of a circle.

Explanation

To divide fractions, we invert the second fraction and multiply:

1/5 ÷ 1/25 = 1/5 × 25/1

= 25/5

= 5

Explanation

To solve (3/4)³:

(3/4)³ = (3/4) × (3/4) × (3/4)

= (3 × 3 × 3) / (4 × 4 × 4)

= 27 / 64

Explanation

A matrix is singular when its determinant is 0.

[4, 2; 6, 3]

Det = (4×3) - (2×6) = 12 - 12 = 0 → Singular

Explanation

If 1 ¥ = 1.81 Pak rupees, then:

1 Pak rupee = 1 / 1.81 ¥

= 0.55 ¥

Explanation

The smallest natural number is 1.

As natural numbers begin from 1 and go onwards (1, 2, 3, ...).

0 is not considered a natural number in standard mathematics.

Explanation

The given set:

Z = {0, ±1, ±2, ±3, ±4, ...}

This set includes all integers, both positive and negative, as well as zero.

Explanation

The model shown (– – – → + +) suggests starting with a negative and ending with a positive result.

–2 + 3 = 1, which matches that transition from negative to positive.

Explanation

Fraction given away = 1/4 + 2/3

= 3/12 + 8/12

= 11/12

Fraction left = 1 - 11/12

= 1/12

Explanation

Let's say the number of plants in each row is x.

Since there are as many rows as there are plants in each row, the total number of plants is x * x = x².

Given that the total number of plants is 625:

x² = 625

x = √625

x = 25