Explanation

The siege of Damascus (634) lasted from 21 August to 19 September 634 before the city fell to the Rashidun Caliphate.

Explanation

The mother of Hazrat Abu Bakr (R.A.) was Ummul Khair, whose real name was Salma bint Sakhar.

She was a noble woman from the Tribe of Banu Taym in Mecca.

Hazrat Abu Bakr (R.A.) was the first Caliph of Islam.

Explanation

The Khawarij sect emerged as a result of the Battle of Siffin (657 CE).

It was fought between the forces of Caliph Hazrat Ali and those of Muawiyah ibn Abu Sufyan. 

The meaning of Khawarij is "rebels."

The battle ended in a stalemate, and the arbitration process that followed led to a group of rebels, who would later become known as the Khawarij, to break away from Hazrat Ali's camp.

Explanation

Explanation

4^(4x+1) = 1/64

We can start by noticing that 1/64 = 2^(-6) = 4^(-3) (since 4 = 2^2).

So, we have:

4^(4x+1) = 4^(-3)

Since the bases are the same (both are 4), we can equate the exponents:

4x + 1 = -3

Subtracting 1 from both sides gives:

4x = -4

Dividing both sides by -4 gives:

x = -1

Explanation

 Third integer is x + 4 = 11 + 4 = 15. 

Explanation

To solve this, we can start by expressing the given ratio m:n = 3:2 in terms of a variable, let's say x. So, m = 3x and n = 2x.

Now, let's substitute these expressions into the given ratio (4m+5n):(4m-5n):

(4(3x) + 5(2x)) : (4(3x) - 5(2x))

Expanding and simplifying, we get:

(12x + 10x) : (12x - 10x)

22x : 2x

Now, we can divide both terms by 2x to get: 11 : 1

Explanation

9/162=x/306

X=9/162 × 306

X= 17

Explanation

Person A completes the work in 12 days, so their work rate is 1/12 of the work per day.

Person B completes the work in 6 days, so their work rate is 1/6 of the work per day.

When they work together, their combined work rate is the sum of their individual work rates:

(1/12 + 1/6) = (1/12 + 2/12) = 3/12 = 1/4 of the work per day.

Since they can complete 1/4 of the work in a day, they will complete the entire work in: 4 days.

Explanation

Area of a circle =πr2
∴38.5=πr2
∴722​×r2=38.5
⇒r2=38.5×227​
⇒r2=12.25⇒r=12.25​
∴ r=3.5
Now, Circumference of circle =2πr
∴ Circumference of circle =2×722​×1035​
∴ Circumference of circle =22mArea of a circle =πr

2
∴38.5=πr2
∴722​×r2=38.5
⇒r2=38.5×227​
⇒r2=12.25⇒r=12.25​
∴ r=3.5
Now, Circumference of circle =2πr
∴ Circumference of circle =2×722​×1035​
∴ Circumference of circle =22m