Explanation

Check the difference between terms:  

11 - 7 = 4  

19 - 11 = 8  

So, the pattern in differences: +4, +8, +12...

Next difference: +16  

So, 19 + 16 = 35  

Oops! That gives 35, not 31. Let's try again:

Actually:  

7 → 11 → 19 → ?

Differences:

11 - 7 = 4  

19 - 11 = 8  

So next difference = +12  

19 + 12 = 31

Explanation

For a projectile (neglecting air resistance), the maximum horizontal range is achieved at a 45° launch angle.

Explanation

In a logarithm, the mantissa is the decimal (fractional) part, while the characteristic is the whole number part.

For example:  

log₁₀(2.5) ≈ 0.3979  

- 0 is the characteristic  

- .3979 is the mantissa

Explanation

 Mode is the number that appears most frequently.

Since all numbers appear only once, there is no mode.

Explanation

Given pattern-style equations:

1. 22 × 33 = 4499  

2. 33 × 44 = 991616

Now breaking down 44 × 55 = ? using a similar pattern:

- 44² = 1936 → ends in 36 or close to 16 (if pattern ignores first digits)

- 55² = 3025 → ends in 25

Look at the answer 16162525:  

It seems to follow the idea:  

- 44 → 4×4 = 16  

- 55 → 5×5 = 25  

Then repeat or combine for symmetry:  

16 | 16 | 25 | 25 → 16162525

Explanation

All are animals except hen

Hen is a bird 

Explanation

Multiply by 8, then subtract 8 → 1×8−8=0,

2×8−8=8,

3×8−8=16 

= 4×8−8

=24

Explanation

Explanation

Explanation

DEEF → 4556

Mapping letters to numbers:

• D → 4

• E → 5

• E → 5

• F → 6

Now for 6554:

• 6 → F

• 5 → E

• 5 → E

• 4 → D

So, 6554 = FEED