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Coding and Decoding · Question 49 of 66

Question 49

HardOriginal question

If '+' means '÷', '−' means '×', '×' means '+' and '÷' means '−', what is the value of 18×4+2−5÷318 \times 4 + 2 - 5 \div 3?

Options for question 49

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Replace every sign by what it means: × becomes +, + becomes ÷, − becomes ×, ÷ becomes −.

  2. The expression becomes 18+4÷2×5−318 + 4 \div 2 \times 5 - 3.

  3. Division and multiplication first: 4÷2=24 \div 2 = 2, then 2×5=102 \times 5 = 10.

  4. 18+10−3=2518 + 10 - 3 = 25.

Worth noting

52 works left to right, (18+4)÷2×5−3(18 + 4) \div 2 \times 5 - 3. 15.4 multiplies before dividing, 4÷(2×5)4 \div (2 \times 5); division and multiplication are done in order from left to right. 28 forgets the final − 3-\,3.

Concept
Symbol substitution followed by the order of operations
Typical time
110 s
Your time
—
The rule this testsSubstitution codes
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Ten questions from Coding and Decoding, at your own pace.

Practise this chapter →

Ten questions from Coding and Decoding, at your own pace.