Question
Statements: Only Apple are Banana. Some
Apples are Pears. Only a few Papaya is Pear. Conclusions: I. At least Some Papayas are Bananas. II. At least Some Pears can be Bananas. III. Some Papayas are not Pears. In the question below some statements are given followed by three conclusions I, II, and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusion definitely follows from the given statements, disregarding commonly known facts.Solution
Only Apple are Banana → All Bananas are Apples and Bananas cannot have any positive relation with anyone. Hence neither conclusion I nor II follow. Only a few Papaya is Pear → Some Papayas are not Pears (O) and Some Papayas are Pears (I). Hence conclusion III follows.
I. y/16 = 4/yÂ
II. x3 = (2 ÷ 50) × (2500 ÷ 50) × 42 × (192 ÷ 12)
I: x2Â + 31x + 228 = 0
II: y2 + 3y – 108 = 0
I. 5q = 7p + 21
II. 11q + 4p + 109 = 0
The roots of x² − (k+3)x + (3k − 1) = 0 are real and distinct, and the larger root exceeds the smaller by 5. Find k.
I. 64x2 - 64x + 15 Â = 0 Â Â Â Â
II. 21y2 - 13y + 2Â =0
- Suppose both the roots of q² + kq + 49 = 0 are real and equal, then determine the value of 'k'.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 2x² - 8x + 6 = 0
Equation 2: y² - 7y + 10 = 0
I. 20x² - 93x + 108 = 0
II.72y² - 47y - 144 = 0
How many values of x and y satisfy the equation 2x + 4y = 8 & 3x + 6y = 10.
I. 12y2 + 11y – 15 = 0
II. 8x2 – 6x – 5 = 0