Explanation

King, court, and place (referring to a palace or royal residence) are all words related to royalty or a royal setting.

Radium is a chemical element, a radioactive metal, and does not fit the theme of royalty. 

Explanation

Cost per ounce = 30 cents = 0.30  

Total cost =3.60  

Number of ounces = Total cost / Cost per ounce  

= 3.60 / 0.30  

= 12 ounces  

Explanation

To find the height of a triangle, use the area formula:

Area = (1/2) × base × height

You're given:  

Area = 16 cm²  

Base = 8 cm

Plug into the formula:

16 = (1/2) × 8 × height  

16 = 4 × height  

Height = 16 ÷ 4 = 4 cm

Explanation

"Two-fifths" of a number = 60  

That means:

(2/5) × number = 60

To find the number, multiply both sides by 5/2:

number = (60 × 5) / 2 = 300 / 2 = 150

Explanation

Any number multiplied by 0 equals 0.

So,

6 × 4 × 0 × 100 × 0.34 = 0

Explanation

84 × 84 = 7056

You're multiplying a number by itself, which is called squaring the number:

84² = 7056

Explanation

Expression: 3(4 + 3) – (4 + 5)  

= 3(7) – 9  

= 21 – 9  

= 12

Explanation

To find the area of a rectangle, use the formula:

Area = Length × Width

Given:  

Length = 9 units  

Width = 4 units

Area = 9 × 4 = 36 square units

Explanation

Original:  M I S S I O N S  

Coded:     M S I I S N O S

It seems the first and last letters stay in place:  

- M → M, S → S

Now let's look at the rest:

Original: I S S I O N  

Coded:    S I I S N O (shuffled)

On close inspection, the letters are being rearranged by:

- Keeping 1st and 8th in place

- Swapping 2nd with 3rd, 4th with 5th, 6th with 7th

Apply the same pattern to the INTERNET:

Original: I N T E R N E T  

1st & 8th stay: I _ _ _ _ _ _ T

Now group and swap:

- 2nd & 3rd: N ↔ T → T N  

- 4th & 5th: E ↔ R → R E  

- 6th & 7th: N ↔ E → E N

Final code: I T N R E E N T

Explanation

0, 44, 12, 40, 14, 38, ?

Split into two separate sequences:

First numbers (odd positions):  

10, 12, 14 → increasing by 2

Second numbers (even positions):  

44, 40, 38 → decreasing by 4, then 2

Let’s continue the same logic:

- Next odd-position number: 14 + 2 = 16

- Next even-position number: 38 - 2 = 36