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

Given:  

x = 5, y = 2  

Now calculate:  

2x + 3y = 2(5) + 3(2) = 10 + 6 = 16

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

Explanation

 8 – even number  

- 22 – even number  

- 27 – odd number  

- 7 – odd number  

So based on even/odd, 8 and 22 are even; 27 and 7 are odd → not helpful.

Now check prime numbers:

- 7 – prime  

- 8 – not prime  

- 22 – not prime  

- 27 – not prime  

So 7 is the only prime number.

Explanation

Explanation

6, 13, 21, ?, 46

Step-by-step differences:  

13 - 6 = 7  

21 - 13 = 8  

Next difference = ?  

46 - ? = ?

Now, let's continue the pattern of increasing differences:

- 7  

- 8  

- Next should be 9 (assuming pattern increases by 1)

So:  

21 + 9 = 30  

Now check:  

46 - 30 = 16 (seems too big)

Try adding 10 instead:  

21 + 10 = 31  

46 - 31 = 15

Try adding 11:  

21 + 11 = 32  

46 - 32 = 14

Pattern of differences might be:  

7, 8, 9, 14 — not consistent.

Now test this difference sequence:  

13 - 6 = 7  

21 - 13 = 8  

Next: +9  

So 21 + 9 = 30  

30 + 16 = 46 — difference jumps by 7.

That seems to fit if the final jump is unrelated.

Best fitting pattern:  

+7, +8, +9, +16  

So the missing number is 30