Question Details

What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
4515×5431÷3+821=?

Options

A

1335

B

1775

C

1575

D

1375

Show Answer

Correct Answer :

Option D

1375

1375

Solution :

The correct option is 1375.

To find the value that replaces the question mark (?), we need to perform the interchanged operations as specified in the problem statement:
1. '+' and '–' are interchanged (i.e., replace '+' with '–' and replace '–' with '+').
2. '×' and '÷' are interchanged (i.e., replace '×' with '÷' and replace '÷' with '×').

The given equation is:
4515×5431÷3+821=?

After interchanging the operators, the equation becomes:
4515÷5+431×3821=?

Now, we solve the expression using the standard BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) rule:

Step 1: Perform Division
Divide 4515 by 5:
4515÷5=903

Substitute this back into the equation:
903+431×3821=?

Step 2: Perform Multiplication
Multiply 431 by 3:
431×3=1293

Substitute this value:
903+1293821=?

Step 3: Perform Addition
Add 903 and 1293:
903+1293=2196

Substitute this value:
2196821=?

Step 4: Perform Subtraction
Subtract 821 from 2196:
2196821=1375

Therefore, the value that replaces the question mark is 1375.

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