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Directions (49-54) : In these questions, two equations numbered I and II are given. You have to solve both the equations and choose the appropriate answer.
Give answer :
(1) If x \( \large \ge \) y
(2) If x < y
(3) If x \( \large \le \) y
(4) If relationship between x and y cannot be established
(5) If x > y
Give answer :
(1) If x \( \large \ge \) y
(2) If x < y
(3) If x \( \large \le \) y
(4) If relationship between x and y cannot be established
(5) If x > y
I. 3\( \large x^{2} \) - 4x + 1 = 0 II. 15\( \large y^{2} \)-8y + 1 = 0
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A) If x \( \large \ge \) y |
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B) If x < y |
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C) If x \( \large \le \) y |
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D) If relationship between x and y cannot be established |
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E) If x > y |
Correct Answer:
| A) If x \( \large \ge \) y |
Description for Correct answer:
I
3\( \large x^{2} \) - 4x + 1 = 0
3\( \large x^{2} \) - 3x - x + 1 = 0
3x (x - 1) - 1 (x - 1) = 0
( x - 1 )(3x - 1 ) = 0 => x = 1, \( \Large \frac{1}{3} \)
II.
15\( \large y^{2} \) - 8y + 1 =0
15\( \large y^{2} \) - 5y - 3y + 1 = 0
5y (3y - 1) - 1(3y - 1) = 0
(3y - 1)(5y - 1) = 0 => y = -\( \Large \frac{1}{3} \), \( \Large \frac{1}{5} \)
I
3\( \large x^{2} \) - 4x + 1 = 0
3\( \large x^{2} \) - 3x - x + 1 = 0
3x (x - 1) - 1 (x - 1) = 0
( x - 1 )(3x - 1 ) = 0 => x = 1, \( \Large \frac{1}{3} \)
II.
15\( \large y^{2} \) - 8y + 1 =0
15\( \large y^{2} \) - 5y - 3y + 1 = 0
5y (3y - 1) - 1(3y - 1) = 0
(3y - 1)(5y - 1) = 0 => y = -\( \Large \frac{1}{3} \), \( \Large \frac{1}{5} \)
Part of solved SBI PO-Prelims2 questions and answers : Exams >> Bank Exams >> SBI PO-Prelims2
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