Explanation

• 8096702
• 8567304
• 9056502

Compare:

8096702 vs 9056502

→ Both end in 502, and first digit is 9 vs 8, but there's a closer match than with others.

8096702

9056502

→ The '6' is in the same position.

→ '502' at the end is identical.

Explanation

The correct rearrangement of the jumbled word "hcnia" is:  China

Explanation

Let "x" be the number.

Three-fourths of the number is (3/4)x.

When we multiply the number by three-fourths of itself,

we get: x * (3/4)x = 10700.

This simplifies to (3/4)x² = 10700.

Solving for x, we get x = 70. 

Explanation

Find HCF of 408, 468, and 516

• Prime factorizations:

  • 408 = $2^3\cdot 3<br>$

  • 468 = $2^2 cdot 3 cdot 13$
    

  • 516 = $2^2\cdot 3\cdot 43$

Common: 2^2.3 = 4.3=12

Explanation

 24 is split into two parts such that 7 times the first plus 5 times the second is 146.

Let the first part be 

x, then the second is 

7x+5(24−x)=146

7x+120−5x=146

2x=26⇒x=13