What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged? 4 – 5 + 9 ÷ 6 × 2 = ?
-18
To solve this problem, we need to first apply the given symbol interchanges to the equation:
- ‘+’ and ‘–’ are interchanged.
- ‘×’ and ‘÷’ are interchanged.
Given equation: 4 – 5 + 9 ÷ 6 × 2 = ?
After interchanging the symbols, the equation becomes:
4 + 5 – 9 × 6 ÷ 2 = ?
Now, solve the equation using the correct order of operations (PEMDAS/BODMAS):
- Division: Calculate 6 ÷ 2 = 3.
- Multiplication: Calculate 9 × 3 = 27.
- Addition: Calculate 4 + 5 = 9.
- Subtraction: Calculate 9 – 27 = –18.
Thus, the result of the equation is –18.
Important Questions from Arithmetical Reasoning
Select the option in which the numbers share the same relationship as that shared by the given pair of numbers:
4 : 32, 7 : 98
What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘-’ are interchanged and ‘×’ and ‘÷’ are interchanged?
6408 x 8 + 27 - 15 ÷ 10 = ?
Which two signs should be interchanged to make the following equation correct?
139 + 40 ÷ 5 - 168 × 3 = 283
Which two numbers (not digits) should be interchanged to make the given equation correct?
15 + 5 × 8 - 72 ÷ 4 + 16 × 3 = 101
