IBPS Government Jobs Exams Numerical Ability Quadratic Equations

In the following question two equations are given in variables X and Y. You have to solve these equations and determine relation between X and Y.
I) X² – 10X + 24 = 0
II) Y² – 12Y + 35 = 0
A)X > Y B)X < Y C)X ≥ Y D)X ≤ Y E) X=Y or No relation can be established

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IBPS Other Question

What should come in place of the question mark (?) in the following number series?
6, 11, 27, 86, ?, 1750
A)349 B)341 C)355 D)351 E)363 A Volvo tourist bus with only the driver inside has a speed of 80 kmph. Its maximum speed reduces by a quantity which is directly proportional to the number of passengers (excluding the driver) seated inside. The maximum speed of the bus reduces by 20 kmph, if there are 5 passengers. A maximum of how many passengers should be seated so that the bus can move?
A)20 B)19 C)25 D)17 E)None of these