Explanation

The size of a class interval is calculated as:

Class Size = Upper Boundary - Lower Boundary

For (1 - 4): 4 - 1 = 3

Explanation

Zakat is calculated based on the lunar year (Hijri calendar), which is about 354 days.

It becomes due after one full lunar year if a person's wealth meets the Nisab threshold.

Explanation

Zakat is typically calculated as 2.5% of the total amount, which can also be expressed as 1/40.

So, Zakat on Rs. x is:

1/40x

Explanation

To find the GST amount, multiply the cost of the milk powder by the GST percentage:

GST = 500 × 16/100

= 500 × 0.16

= 80

Explanation

To convert 2/3 hours to minutes, we need to multiply 2/3 by the number of minutes in an hour, which is 60.

So, 2/3 hours = (2/3) × 60 minutes = 2 × 20 minutes = 40 minutes.

Explanation

Let's denote the three angles as x, x, and 2x, since they are in the ratio 1:1:2.

The sum of the angles in a triangle is always 180°:

x + x + 2x = 180°

Combine like terms:

4x = 180°

Divide by 4:

x = 45°

Now that we know x, we can find the other angles:

x = 45°

x = 45°

2x = 90°

Explanation

To convert kilometers per hour (km/h) to meters per second (m/s), multiply by 1000/3600:

72 km/h = 72 × (1000/3600)

= 72 × 5/18

= 20 m/s

Explanation

To find the ratio c:a, divide the value of c by the value of a:

c:a = 20:5

Simplify the ratio by dividing both numbers by 5:

c:a = 4:1

Explanation

To simplify the expression, follow the rules of exponents:

(x⁴)³ = x^(4×3) = x¹²

Now, divide x¹² by x⁻⁴:

x¹² ÷ x⁻⁴ = x¹² × x⁴ (since dividing by x⁻⁴ is the same as multiplying by x⁴)

= x^(12+4)

= x¹⁶

Explanation

Convert the mixed fraction to an improper fraction:

3 4/5 = (3 × 5 + 4) / 5 = 19/5

The reciprocal of 19/5 is 5/19.