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If + means ×, – means ÷, × means +, and ÷ means –, then what will come in place of the question mark (?) in the following equation? 55 – 5 + 6 × 2 ÷ 4 = ?
64
66
68
70 Question ID : 4410091306018 Option 1 ID : 4410095156013 Option 2 ID : 4410095156014 Option 3 ID : 4410095156015 Option 4 ID : 4410095156016 Status : Answered Chosen Option : A
64
Rewrite the expression using the given substitutions first, then strictly follow the BODMAS rule (Brackets, Of, Division, Multiplication, Addition, Subtraction).
Rewrite the expression using the given substitutions first, then strictly follow the BODMAS rule (Brackets, Of, Division, Multiplication, Addition, Subtraction).
Substitute the Symbols
Given the rules: + becomes x, - becomes /, x becomes +, / becomes -. Substituting into 55 - 5 + 6 x 2 / 4 gives 55 / 5 x 6 + 2 - 4.
Apply BODMAS
Perform Division first: 55 / 5 = 11. Now the expression is 11 x 6 + 2 - 4.
Complete Multiplication, Addition, and Subtraction
Perform Multiplication: 11 x 6 = 66. Then Addition: 66 + 2 = 68. Finally Subtraction: 68 - 4 = 64.
B: Incorrect as it neglects the division or subtraction steps. C: Incorrect as it likely miscalculates the final subtraction. D: Incorrect as it misapplies the BODMAS order of operations.
A is correct because applying the substitutions 55 / 5 x 6 + 2 - 4 follows the order of operations to arrive at the result of 64.
Always write out the full transformed equation before starting calculations to avoid simple transposition errors which are the most common cause of mistakes in this topic.
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