Explanation

The pattern in the series appears to be alternating between adding and subtracting.

27 + 5 = 32

32 - 2 = 30

30 + 5 = 35

35 - 2 = 33

33 + 5 = 38

Last verified on 05-09-2026

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

1, 8, 27, 64, 125, 216, 343, and 512

1^3 = 1

2^3 = 8

3^3 = 27

4^3 = 64

5^3 = 125

6^3 = 216

7^3 = 343

8^3 = 512

Last verified on 05-09-2026

Explanation

The equation |-x| = 0 simplifies to x = 0 since the absolute value of any number is zero only when the number itself is zero.

Therefore, the solution set contains only {0}.

Last verified on 05-09-2026

Explanation

When flipping a coin 3 times, each flip has 2 possible outcomes (heads or tails).

So, the total number of outcomes is 2³ = 8.

The favorable outcome is getting 3 heads (HHH).

There is only 1 way to achieve this.

Probability = Number of favorable outcomes / Total number of outcomes = 1/8 = 0.125.

Last verified on 05-09-2026