Question Details

In a given mathematical code, let the addition symbol + represent multiplication, the multiplication symbol × represent subtraction, the subtraction symbol - represent division, and the division symbol ÷ represent addition. Evaluate the following mathematical expression under these rules: 6+4×248÷4=?

Options

A

30

B

20

C

35

D

25

Show Answer

Correct Answer :

Option D

25

Solution :

The correct option is 25.


To evaluate the given mathematical expression, we first need to substitute the mathematical symbols according to the rules defined in the code:

• The addition symbol + represents multiplication (×).

• The multiplication symbol × represents subtraction (-).

• The subtraction symbol - represents division (÷).

• The division symbol ÷ represents addition (+).


The original expression is:

6+4×248÷4


Replacing the original operators with their new representations as per the given rules, we get the modified expression:

6×424÷8+4


Now, we solve the modified expression step-by-step using the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction):


Step 1: Perform the Division

Divide 24 by 8:

24÷8=3

So, the expression becomes:

6×43+4


Step 2: Perform the Multiplication

Multiply 6 by 4:

6×4=24

So, the expression becomes:

243+4


Step 3: Perform Addition and Subtraction

Add 24 and 4, then subtract 3:

24+4=28

283=25


Therefore, the value of the expression under the coded rules is 25.

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