In the following question, two equations are given. You have to solve the equation and mark the answer accordingly.

I. x^{2} – 50x + 429 = 0

II. y^{2} – 49y + 600 = 0

Option 5 : x = y or relationship between x and y cannot be established.

Syllogism (Clear Your Basics)

66989

10 Questions
10 Marks
10 Mins

According to given equations

I. x2 – 50x + 429 = 0

⇒ x^{2} – 39x – 11x + 429 = 0

⇒ x(x – 39) – 11(x – 39) = 0

⇒ (x – 39) (x – 11) = 0

⇒ x = 39, 11

II. y2 – 49y + 600 = 0

⇒ y2 – 25y – 24y + 600 = 0

⇒ y(y – 25) – 24(y – 25) = 0

⇒ (y – 25) (y – 24) = 0

⇒ y = 25, 24

Comparison between x and y (via Tabulation):

x |
y |
Relation |

39 |
25 | x > y |

39 |
24 |
x > y |

11 |
25 |
x < y |

11 |
24 |
x < y |

∴ **x = y or relationship between x and y cannot be established.**