Question
In the given question, three statements are given each
followed by two conclusions I and II. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements: Some rays are lights. Some lights are bulbs. All bulbs are fans. Conclusions: I. All lights being fans is a possibility. II. Some bulbs are rays.Solution
Some lights are bulbs (I) + All bulbs are fans (A) → Some lights are fans (I) → Conversion → Some fans are lights (I) → Probable conclusion → All lights may be fans (A). Hence conclusion I follows. Some rays are lights (I) + Some lights are bulbs (I) → No conclusion. Hence conclusion II does not follow.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 37x² - 172x + 135 = 0
Equation 2: 29y² - 132y + ...
I. p2 - 19p + 88 = 0Â Â
II. q2 - 48q + 576 = 0
For what real value(s) of k does the quadratic equation - x² − (k + 3)x + 2k = 0, have equal real roots?
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
I. 195x² - 46x - 21 = 0
II. 209y² + 13y - 12 = 0
I. x² - (16)2 = 0
II. 2y - 14 = 0
Solve for x: |2x − 5| + |x + 1| ≤ 10.
I. 9x2 + 45x + 26 = 0
II. 7y2 – 59y − 36 = 0
Roots of the quadratic equation 2x2 + x – 528 = 0 is
