Question
Statements: Some states are towns. No town
is a village. All villages are cities. Conclusions: I. Some towns are cities. II. Some states are cities. III. Some cities are villages. In the question below there are four statements followed by three conclusions I, II and III. You have to take the four given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the four statements disregarding commonly known facts.Solution
No town is a village (E) + All villages are cities (A) → Some cities are not towns (O*). Hence conclusion I does not follow. Some states are towns (I) + No town is a village (E) → Some states are not villages (O) + All villages are cities (A) → No conclusion. Hence conclusion II does not follow. All villages are cities (A) → Conversion → Some cities are villages (I). Hence conclusion III follows.
I. p2 +7p + 10 = 0 II. q2 - q – 6 = 0
Equation 1: x² - 45x + 500 = 0
Equation 2: y² - 60y + 600 = 0
I. 5x + 2y = 31
II. 3x + 7y = 36
I. x2 – 10x + 21 = 0
II. y2 + 11y + 28 = 0
I. 6 y² + 11 y – 7= 0
II. 21 x² + 5 x – 6 = 0
1.3wx = 40 – wy
2. b2 = 2b + p
3. d2 + d = q
Now, observe the given conditions:
One root of equation...
Equation 1: 2x2Â - 21x + 54 = 0
Equation 2: 4y2Â - 23y + 15 = 0
Difference between the roots of equation 1 is approx...
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I. p² - 10p +21 = 0
II. q² + q -12 = 0
I. x² + 11x + 24 = 0
II. y² + 17y + 72 = 0