What approximate value should come in place of the question mark (?) in the following question?

18.45² + ∛(729.08) + 89.32 = ?² - 42.99

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IBPS PO Prelims Memory Based Paper (Held On: 19 October 2024 Shift 2)
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  1. 8
  2. 12
  3. 15
  4. 19
  5. 22

Answer (Detailed Solution Below)

Option 5 : 22
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Detailed Solution

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Given Expression:

18.45² + ∛(729.08) + 89.32 = ?² - 42.99

Approximate each term:

18.45² ≈ 340.2 (since 18.45 × 18.45 ≈ 340.2025)

∛729.08 ≈ ∛729 = 9

89.32 stays as is

LHS: 340.2 + 9 + 89.32 = 438.52

⇒ 438.52 = ?² - 42.99

⇒ ?² = 438.52 + 42.99 = 481.51

√481.51 ≈ 21.93 ≈ 22

Thus, the correct answer is 22.

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