Question
Download Solution PDF If ‘A’ stands for ‘×’, ‘B’ stands for ‘−’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘÷’, then the
resultant of which of the following will be 9?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
‘A’ stands for ‘×’
‘B’ stands for ‘−’
‘C’ stands for ‘+’
‘D’ stands for ‘÷’
We need to find which of the following e×pressions results in 9.
1) 8 A 3 C 10 B 2 D 5
Replacing the letters with their respective mathematical operations:
8 × 3 + 10 − 2 ÷ 5
Applying the order of operations (PEMDAS/BODMAS):
= 8 × 3 + 10 − 0.4
= 24 + 10 − 0.4
= 34 − 0.4
= 33.6 ≠ 9 (Incorrect)
2) 8 B 3 A 10 C 2 D 5
Replacing the letters with their respective mathematical operations:
8 − 3 × 10 + 2 ÷ 5
Applying the order of operations (PEMDAS/BODMAS):
= 8 − 3 × 10 + 0.4
= 8 − 30 + 0.4
= −22 + 0.4
= −21.6 ≠ 9 (Incorrect)
3) 8 C 3 B 10 A 2 D 5
Replacing the letters with their respective mathematical operations:
8 + 3 − 10 × 2 ÷ 5
Applying the order of operations (PEMDAS/BODMAS):
= 8 + 3 − (10 × 2) ÷ 5
= 8 + 3 − 20 ÷ 5
= 8 + 3 − 4
= 11 − 4
= 7 ≠ 9 (Incorrect)
4) 8 B 3 C 10 A 2 D 5
Replacing the letters with their respective mathematical operations:
8 − 3 + 10 × 2 ÷ 5
Applying the order of operations (PEMDAS/BODMAS):
= 8 − 3 + (10 × 2) ÷ 5
= 8 − 3 + 20 ÷ 5
= 8 − 3 + 4
= 5 + 4
= 9 (Correct)
Hence, the correct answer is "Option 4".
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