What will come in the place of the question mark ‘?’ in the following…
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What will come in the place of the question mark ‘?’ in the following question? 20 - 102 = 41 - ?2
- A.
12
- B.
10
- C.
7
- D.
11
Attempted by 14 students.
Show answer & explanation
Correct answer: D
Solution:
Start from the given equation: 20 - 10^2 = 41 - ?^2.
Compute the left-hand side: 20 - 10^2 = 20 - 100 = -80. So -80 = 41 - ?^2.
Rearrange to find ?^2: ?^2 = 41 + 80 = 121.
Take the square root: ? = 11. (We take the positive root here because the options are positive integers and the context asks for the value of ?.)
Verification: 41 - 11^2 = 41 - 121 = -80, which equals the left-hand side, so the solution is correct.
Therefore, the value of ? is 11.