Explanation

Let the number be x.

20% of x = 18

0.20x = 18

x = 18 / 0.20

x = 90

Explanation

To find how many multiples of 5 are between 15 and 100 (inclusive):

Start: 15 ÷ 5 = 3 → First multiple (15 = 5×3)  

End: 100 ÷ 5 = 20 → Last multiple (100 = 5×20)

Now count the integers from 3 to 20:  

20 - 3 + 1 = 18

Explanation

20% of a number = 18  

⇒ (20/100) × number = 18  

⇒ number = 18 × (100/20) = 90

Explanation

LCM of 12 and 15:

- Prime factors of 12 = 2² × 3  

- Prime factors of 15 = 3 × 5  

- LCM = 2² × 3 × 5 = 60

Explanation

sin α = 4/5 ⇒ cos α = 3/5 (from Pythagoras)  

cos(2α) = 2cos²α − 1 = 2*(9/25) − 1 = 18/25 − 25/25 = −7/25  

Explanation

4x + 4y = 12 is just a multiple of x + y = 3 → same line.

The equation 4x + 4y = 12 is just a multiple of x + y = 3 (multiply both sides by 4).  

So, both equations represent the same line, meaning they intersect at all points on that line.

Explanation

x:y = 7:8 → multiply both by 5 ⇒ x:y = 35:40  

y:z = 5:6 → multiply both by 8 ⇒ y:z = 40:48  

So x:z = 35:48

Explanation

30 = 2 × 3 × 5  

36 = 2² × 3²  

LCM = 2² × 3² × 5 = 180

Explanation

= (27)^(-1/3)

= 1 / (27)^(1/3)

= 1 / 3

Explanation

China and Pakistan broke ground on the Allama Iqbal Industrial City (AIIC) in Faisalabad on January 3, 2020

The AIIC is a Special Economic Zone (SEZ) that is being developed as part of the China-Pakistan Economic Corridor (CPEC)