In the following question, if the symbols '+', 'x' and '=' are placed in a specific order instead of 'A', a correct equation will be formed. Choose the correct order of symbols from the given options. 40 A 7 A 5 A 5

1. A

   +, =, x

2. B

   =, +, x

3. C

   +, x, =

4. D

   =, x, +

Appeared in: CGHS SSC - 2018

Explanation

• The objective is to replace the placeholder 'A' with a sequence of mathematical symbols to form a valid equation.
• The correct sequence of symbols is =, x, +, which transforms the expression into the equation 40 = 7 x 5 + 5.
• To verify the equation, we must apply the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction).
• Following BODMAS, the right-hand side is evaluated by first multiplying 7 by 5 to get 35, and then adding 5.
• The calculation is (7 x 5) + 5 = 35 + 5 = 40.
• This results in the true statement 40 = 40, confirming this option is correct.

Why Other Options Were Wrong

• Option A: The sequence +, =, x forms the equation 40 + 7 = 5 x 5. Evaluating both sides gives 47 = 25, which is a false statement.
• Option B: The sequence =, +, x forms the equation 40 = 7 + 5 x 5. Following BODMAS, the right side is 7 + 25, which equals 32. The equation becomes 40 = 32, which is false.
• Option C: The sequence +, x, = forms the equation 40 + 7 x 5 = 5. Following BODMAS, the left side is 40 + 35, which equals 75. The equation becomes 75 = 5, which is false.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning - Mathematical Operations as background academic context rather than a clinical decision trigger.
• This type of question assesses logical and analytical reasoning, which are foundational skills for systematic problem-solving in any professional field, including nursing.
• It tests the ability to methodically evaluate multiple possibilities against a fixed set of rules (in this case, the order of mathematical operations).
• What if the expression was 30 A 5 A 5 A 5? The correct order of symbols would need to be re-evaluated. Using the symbols from option B (=, +, x), the equation would become 30 = 5 + 5 x 5, which simplifies to 30 = 5 + 25, or 30 = 30. This shows how the correct sequence depends entirely on the numbers provided.

How to Approach the Question

• First, identify the core task: You need to replace the placeholder letter 'A' with a sequence of mathematical symbols to create a valid equation.
• Next, understand the main constraint: The evaluation of the resulting expression must strictly follow the order of operations (BODMAS/PEMDAS: Brackets, Orders, Division/Multiplication, Addition/Subtraction).
• Adopt a systematic, option-by-option approach. Do not try to guess the answer.
• For each option, substitute the given symbols into the expression 40 A 7 A 5 A 5 in the specified order.
• Carefully evaluate the left-hand side (LHS) and right-hand side (RHS) of the resulting equation.
• The correct answer is the option that results in a true statement, where the value of the LHS equals the value of the RHS.

Concept Tested & Keywords

• Concept Tested: Logical Reasoning - Mathematical Operations
• Stem keywords: symbols, correct equation, 40 A 7 A 5 A 5
• Lead-in keywords: Choose the correct order

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