Explanation

Pattern: Multiply by 2 and add 1

1  

3 = 1 x 2 + 1  

7 = 3 x 2 + 1  

15 = 7 x 2 + 1  

31 = 15 x 2 + 1  

63 = 31 x 2 + 1  

? = 63 x 2 + 1 = 127  

Last verified on 11-07-2026

Explanation

Explanation

Given:

Increment in number = 20% of the number

Decrement in number = 20% of the new number

Concept used:

Net increase or decrease percent = {(Original number or Final number) - (Final number or original number) ÷ Original number} × 100

Calculation:

Let the original number be 100

When the number is increased by 20%

New Number = 100 + 20% of 100

⇒ 100 + 20

⇒ 120

Now, the number is decreased by 20%

Final number = New number – 20% of new number

⇒ 120 – 20% of 120

⇒ 120 – 24

⇒ 96

∴ Net Decrease in percentage = { (100 – 96) / 100} × 100

⇒ {4/100} × 100

⇒ 4%

∴ The net decrease percentage is 4%.

Last verified on 11-07-2026

Explanation

Explanation

The additive inverse of a number is the value that, when added to the original number, results in zero.

For 1/7, the additive inverse is:

-1/7

Since:

1/7 + (-1/7) = 0

Last verified on 09-07-2026