Multiple choice

$What approximate value will come in place of question mark (?) in the following questions ? (You are not expected to calculate the exact value.)$ $( (14.96)^{2} - (18.03)^{2} + (17.09)^{2} - 42.35 = ? )$

  1. 120

  2. 150

  3. 170

  4. 100

  5. 200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Approximate: 14.96² ≈ 15² = 225, 18.03² ≈ 18² = 324, 17.09² ≈ 17² = 289. So 225 - 324 + 289 - 42.35 = (225 - 324) = -99, then -99 + 289 = 190, then 190 - 42 = 148, closest to 150. The calculation involves squaring approximated values and combining them.

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