Explanation

Given the conditions:

a>b

b>c

d>a

We can draw the following relationships:

From a>b and b>c, we know that a>c.

From d>a, we know d>a and, since a>b and a>c, it follows that d>b and d>c.

So, the only valid option is b

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

Multiplying 0.04 × 0.0162 × 0.001 gives 0.000000648.

Explanation

Fraction given away = 1/4 + 2/3

= 3/12 + 8/12

= 11/12

Fraction left = 1 - 11/12

= 1/12