Mathematics · Quadratic Equations
Consider three quadratic equations: Equation I: X2 - (3 + A)X + 40 = 0 Equation II: Y2 - BY + 21 = 0 Equation III: Z2 - [K + 4]Z + [4K + 15] = 0 Notes: i) The lowest roots of Equations I and II are consecutive odd numbers. ii) The highest root of Equation II is one less than the larger root of Equation I. The highest root of Equation I is a perfect cube number. iii) One of the roots of Equation III is 5, and the highest root of Equation III is 3 more than double the highest root of Equation I. Which of the following statements is/are true? a) The value of A is a multiple of 3. b) The values of A and B are different. c) The value of K is a multiple of A.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Only b is true
- 2Only c is true✓
- 3All are true
- 4All are false
Correct answer
Only c is true
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