Explanation

The fare for 18 kg over 12 km is calculated as follows:

Fare per kg per km = 24 / (12 × 36) = 1/18

For 18 kg over 12 km:

Fare = 18 × 12 × (1/18) = 12 rupees

Explanation

Let Soomal's age be x.

Saira's age = x + 6

Five years later:

x + 5 + x + 11 = 40

2x + 16 = 40

2x = 24

x = 12

Saira's age = 12 + 6 = 18

Explanation

Let Zubeda’s share = x → Then Farah’s share = x + 60

Total: x + (x + 60) = 440 ⇒ 2x + 60 = 440 ⇒ 2x = 380 ⇒ x = 190

So, Zubeda's share is Rs. 190, and Farah’s is Rs. 250.

Explanation

Fraction given away = 1/4 + 2/3

= 3/12 + 8/12

= 11/12

Fraction left = 1 - 11/12

= 1/12

Explanation

Find LCM of 20, 30, and 40:

Prime factors:

20 = 2² × 5

30 = 2 × 3 × 5

40 = 2³ × 5

LCM = 2³ × 3 × 5 = 120 minutes

120 minutes = 2 hours, so if they ring together at 9:00 am, they will ring together again at 11:00 am.

Explanation

First, find the LCM of 3 and 5, which is 15.

Now, convert both fractions:

5/3 = 25/15

2/5 = 6/15

Subtract:

25/15 - 6/15 = 19/15

Explanation

Let's find the fourth proportional.

If 8 : 4 :: 2 : x, then

8/4 = 2/x

2 = 2/x

x = 1

Explanation

4³ = 4 × 4 × 4 = 64

Now, divide by 4:

64 ÷ 4 = 16

Explanation

A number is divisible by 4 if the last two digits form a number divisible by 4 — here, 48 ÷ 4 = 12.

92,348 ÷ 4 = 23,087 (no remainder), confirming exact divisibility.

Explanation

The decimal equivalent of 1/2 is 0.5.