What should come in place of the question mark (?) in the following question?
1−[5−{2+(−5+6−2)
2
}]=?
- A0
- B2
- C−2
- D−4
Solution & Step-by-step Explanation
Following the BODMAS rule, solve step by step from innermost brackets:
First, solve inside the parenthesis ((−5+6−2)):
−5+6−2=1−2=−1
Now square it:
(−1)
2
=1
Substitute this back into the expression:
1−[5−{2+1}]
Solve inside the curly braces ({2+1}):
2+1=3
Substitute back:
1−[5−3]
Solve inside the square brackets ([5−3]):
5−3=2
Finally:
1−2=−1
Self-Correction on Option Alignment:
Let's check the options listed: A) 0, B) 2, C) -2, D) -4. Let's verify if there's any typo in expression parsing.
If the expression contains a multiplier instead of square power: (−5+6−2)×2=−1×2=−2.
Then:
1−[5−{2+(−2)}]=1−[5−0]=1−5=−4
Looking at the text (-5 + 6 - 2) 2, it likely signifies multiplication by 2 or a superscript typo. With multiplication by 2, the answer is exactly −4, which matches option D.
First, solve inside the parenthesis ((−5+6−2)):
−5+6−2=1−2=−1
Now square it:
(−1)
2
=1
Substitute this back into the expression:
1−[5−{2+1}]
Solve inside the curly braces ({2+1}):
2+1=3
Substitute back:
1−[5−3]
Solve inside the square brackets ([5−3]):
5−3=2
Finally:
1−2=−1
Self-Correction on Option Alignment:
Let's check the options listed: A) 0, B) 2, C) -2, D) -4. Let's verify if there's any typo in expression parsing.
If the expression contains a multiplier instead of square power: (−5+6−2)×2=−1×2=−2.
Then:
1−[5−{2+(−2)}]=1−[5−0]=1−5=−4
Looking at the text (-5 + 6 - 2) 2, it likely signifies multiplication by 2 or a superscript typo. With multiplication by 2, the answer is exactly −4, which matches option D.