Question
Read the given statements and conclusions carefully.
Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements. Statements: All silvers are gold. All gold are diamonds. All platinum are diamonds. Conclusions: Â I. Some gold are platinum. II. Some platinum are silvers.Solution
All platinum are diamonds (A) + [All gold are diamonds (A) → Conversion] → Some diamonds are gold (I)  → No conclusion. Hence conclusion I does not follow. All silvers are gold (A) + All gold are diamonds (A) → All silvers are diamonds (A) +  [All platinum are diamonds (A) → Conversion] → Some diamonds are platinum (I)  → No conclusion. Hence conclusion II does not follow.
I. x2 – 39x + 360 = 0
II. y2 – 36y + 315 = 0
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
I. 8y2 - 2y - 21 = 0
II. 2x2 + x - 6 = 0
- What should be the value of t in the equation x² + tx + 64 = 0 so that it has two equal real roots?
I. 195x² - 46x - 21 = 0
II. 209y² + 13y - 12 = 0
I: x² - 10x + 21 = 0 Â
II: 4y² - 16y + 15 = 0
I. 40 x² - 93 x + 54 = 0
II. 30 y² - 61 y + 30 = 0
I. 4x² -  15x + 9 = 0
II. 20y² -  23y + 6 = 0
Solve the system:
3x + 2y = 16
4x − y = 9
l. x2 - 16x + 64 = 0
II. y2Â = 64
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