Explanation

Explanation

Given ratio of red : green : blue balls = 2 : 3 : 5  

Total parts = 2 + 3 + 5 = 10

Green balls = 3 parts

Percentage of green balls = (3 / 10) × 100 = 30% 

Explanation

Value = 1/3 of 24

 =   1/3 x 24

  =  8

Explanation

Given:  

- A is twice as good a workman as B  

→ A’s work rate = 2 parts, B’s = 1 part  

→ Combined rate = 3 parts  

- Together they finish the work in 18 days  

→ So total work = 3 × 18 = 54 units

Now, B alone does 1 part/day ⇒  

Time B alone will take = 54 / 1 = 54 days

Explanation

Since 9 is 1/3% of x:

9 = (1/3)/100 × x

9 = (1/300) × x

Multiply both sides by 300:

2700 = x

Explanation

- Initial sugar percentage = 10%  

- Initial solution weight = 8 kg  

- Sugar = 10% of 8 kg = 0.8 kg  

- Water = 8 kg - 0.8 kg = 7.2 kg

Now, 2 kg of water is added:  

- New total weight = 8 kg + 2 kg = 10 kg  

- Sugar still = 0.8 kg (unchanged)  

New sugar percentage = (0.8 / 10) × 100 = 8%

Answer: 8%

Explanation

√(13⁴) = √((13²)²)  

= 13²  

= 169

Explanation

To find the smallest fraction among:  

11/13, 9/11, 3/4, 5/7, we compare their decimal values:

- 11 ÷ 13 ≈ 0.846  

- 9 ÷ 11 ≈ 0.818  

- 3 ÷ 4 = 0.75  

- 5 ÷ 7 ≈ 0.714

The smallest fraction is: 5/7 ≈ 0.714

Explanation

The series consists of square numbers:

4 = 2^2

9 = 3^2

16 = 4^2

25 = 5^2

36 = 6^2

Explanation

The pattern of the series is obtained by adding 2, 2, 4, 18, ... (doubling the previous increment and adding 2).

2 + 2 = 4

4 + 2 = 6

6 + 4 = 10

10 + 18 = 28

28 + 54 = 82