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 = ?
924
Given equation:
6408×8+27−15÷10=?
We are also given the following interchanges:
‘+’ and ‘-’ are interchanged.
‘×’ and ‘÷’ are interchanged.
Step 1: Apply the given interchanges
Replacing the operators accordingly:
‘+’ becomes ‘-’
‘-’ becomes ‘+’
‘×’ becomes ‘÷’
‘÷’ becomes ‘×’
Thus, the equation transforms into:
6408÷8−27+15×10=?
Step 2: Solve the equation using BODMAS (Bracket, Order, Division/Multiplication, Addition/Subtraction)
Step 2.1: Perform Division
6408÷8=801
Step 2.2: Perform Multiplication
15×10=150
Step 2.3: Perform Subtraction and Addition
801−27+150
801 - 27 + 150
801−27+150
774+150=924
Step 3: Verify the Answer
The correct answer is 924, which corresponds to option 3.
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 the place of ‘?’ in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
4 – 5 + 9 ÷ 6 × 2 = ?
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
