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Indian Navy 10+2 B.Tech Cadet HCF and LCM — practice questions

Explore 2 free HCF and LCM questions in Indian Navy 10+2 B.Tech Cadet Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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HCF and LCM questions and exercises with answers

Showing questions 1–2 of 2.

Worked practice questions

The point dividing the segment from $(1,1)$ to $(4,7)$ in the ratio 1:2 is:

  1. (3, 5)
  2. (5, 9)
  3. (2, 3)
  4. (2.5, 4)
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Correct answer: C. (2, 3)

((1·4+2·1)/3, (1·7+2·1)/3) = (6/3, 9/3) = (2,3).

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Find x such that the distance from (x, 1) to (2, 3) is √8.

  1. −1 or 5
  2. 1 or 3
  3. 0 or 4
  4. 2 or 6
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Correct answer: C. 0 or 4

√[(x − 2)² + (1 − 3)²] = √8 ⇒ (x − 2)² + 4 = 8 ⇒ (x − 2)² = 4 ⇒ x − 2 = ±2 ⇒ x = 0 or 4.

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