Question Details

Directions: In a symbolic mathematical system, standard arithmetic operators are redefined as follows:

+ represents division (÷)
- represents multiplication (×)
× represents subtraction (-)
÷ represents addition (+)

Based on these redefined rules, calculate the value of the following expression:

(18 + 3) - 4 ÷ (15 × 7)

Options

A

32

B

40

C

35

D

28

Show Answer

Correct Answer :

Option A

32

21

Solution :

The correct answer is 32.

Step 1: Understand the given operator redefinitions
According to the problem statements, standard arithmetic operators are redefined as follows:
+ represents division (÷)
- represents multiplication (×)
× represents subtraction (-)
÷ represents addition (+)

Step 2: Substitute the redefined operators into the expression
The given expression is:
(18+3)-4÷(15×7)
Replacing each symbol according to the redefined rules:
(18÷3)×4+(15-7)

Step 3: Evaluate the expression using standard order of operations (BODMAS/PEMDAS)

1. Solve inside the brackets first:
18÷3=6
15-7=8

Substituting these simplified values back into the expression gives:
6×4+8

2. Perform multiplication before addition:
6×4=24

3. Perform addition:
24+8=32

Thus, the final value of the given expression is 32.

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