Explanation

Price inclusive of GST = 6480

GST percentage = 8%

First, convert the GST percentage to a decimal:

8% = 0.08

Now, divide the price inclusive of GST by (1 + GST decimal):

6480 ÷ (1 + 0.08) = 6480 ÷ 1.08 = 6000

So, the original price of the bicycle is 6000.

Explanation

From equation (1), we can write:

2 = 10^0.3010

Now, take log base 2 on both sides:

log2 2 = log2 (10^0.3010)

1 = 0.3010 log2 10

Now, divide both sides by 0.3010:

log2 10 = 1/0.3010

= 100/30.10

= 1000/301

Explanation

The average marks of four subjects is 120, so the total marks are:

120 x 4 = 480

If 33 was misread as 13, that means the actual total marks should be:

480 - 13 + 33 = 500

Now, let's calculate the correct average:

Correct average = Total marks / Number of subjects

= 500 / 4

= 125

Explanation

We know that:

x × x = x²

Reciprocal of x = 1/x

According to the problem:

(x × x) ÷ (1/x) = 18/26 × 27

Simplifying the equation:

x² ÷ (1/x) = 18/26 × 27

x³ = 18/26 × 27

Now, let's solve for x:

x³ = 486/26

x³ = 18.69 (approximately)

x = ∛(18.69) ≈ 2.67

Explanation

Given that 40% of a number is equal to two-third of another number, we need to find the ratio of the first number to the second number.

Let's assume that the first number is x and the second number is y. 40% of x is equal to 2/3 of y.

We can write this as: 0.4x = 2/3 y To find the ratio of x to y, we can divide both sides by y: 0.4x/y = 2/3

Simplifying further, we get: x/y = (2/3)/(0.4) x/y = 5/3

Therefore, the ratio of the first number to the second number is 5:3.

Explanation

We know:

- Angle of elevation (θ) = 60°

- Distance of the foot of the ladder from the wall (x) = 12.4 m

- We need to find the length of the ladder (hypotenuse)

Using the cosine function:
cos(θ) = adjacent side / hypotenuse
cos(60°) = 12.4 / hypotenuse
To find the hypotenuse (length of the ladder), we can rearrange the equation:
hypotenuse = 12.4 / cos(60°)
Using a calculator:
hypotenuse = 12.4 / 0.5
hypotenuse = 24.8
So, the length of the ladder is 24.8 meters.

Explanation

The first known infections from SARS-CoV-2 were discovered in Wuhan, China.

Explanation

Autopsy is a medical examination performed on a dead body to determine the cause of death or study disease.

It involves analyzing organs and tissues post-mortem.

Explanation

Benjamin Franklin invented the lightning rod, a device used to protect buildings from lightning strikes.

He made this invention in 1752 as part of his experiments with electricity.

Explanation

Ayub Khan passed EBDO in August 1959

Under this, 75 leaders were disqualified for participating in political activities for 8 years (until December 1966).

EBDO stands for Electoral bodies dissolution order.