Home
Class 14
MATHS
Select the correct combination of matham...

Select the correct combination of mathamatical signs from the options given to replace # signs in order to get a balanced equation :
14 # 9 # 3 # 19 # 6

A

`+ = + -`

B

`+ xx = +`

C

`- div + = `

D

`= xx - +`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 14 \# 9 \# 3 \# 19 \# 6 \) and find the correct combination of mathematical signs, we will analyze the options systematically. ### Step-by-Step Solution: 1. **Identify the Expression**: We need to replace the "#" signs in the expression \( 14 \# 9 \# 3 \# 19 \# 6 \) with mathematical operations (addition, subtraction, multiplication, or division) to create a balanced equation. 2. **Evaluate Each Option**: We will evaluate each option provided to see if it results in a balanced equation. **Option A**: \( 14 + 9 - 3 + 19 - 6 \) - Calculation: \( 14 + 9 = 23 \) - Then: \( 23 - 3 = 20 \) - Then: \( 20 + 19 = 39 \) - Finally: \( 39 - 6 = 33 \) - Result: \( 33 \) (not equal to \( 0 \)) **Option B**: \( 14 + 9 \times 3 - 19 + 6 \) - Calculation: \( 9 \times 3 = 27 \) - Then: \( 14 + 27 = 41 \) - Then: \( 41 - 19 = 22 \) - Finally: \( 22 + 6 = 28 \) - Result: \( 28 \) (not equal to \( 0 \)) **Option C**: \( 14 - 9 \div 3 + 19 - 6 \) - Calculation: \( 9 \div 3 = 3 \) - Then: \( 14 - 3 = 11 \) - Then: \( 11 + 19 = 30 \) - Finally: \( 30 - 6 = 24 \) - Result: \( 24 \) (not equal to \( 0 \)) **Option D**: \( 14 - 9 \times 3 + 19 + 6 \) - Calculation: \( 9 \times 3 = 27 \) - Then: \( 14 - 27 = -13 \) - Then: \( -13 + 19 = 6 \) - Finally: \( 6 + 6 = 12 \) - Result: \( 12 \) (not equal to \( 0 \)) 3. **Finding the Correct Combination**: After evaluating all options, we find that none of the combinations yield a balanced equation. 4. **Re-evaluate the Correct Option**: The correct option must yield \( 14 = 14 \) or any other valid equality. After careful consideration, we find that the combination \( 14 = 9 + 3 + 19 - 6 \) is valid. ### Final Answer: The correct combination of mathematical signs is \( 14 = 9 + 3 + 19 - 6 \).
Promotional Banner