Question
Statements: C % K, K @ L, L & U, U $ G
Conclusions: I.G @ L II. C @ L III. C @ G In the following questions, the symbols @, &, $, % and # are used with the following meaning as illustrated below: 'A $ B' means 'A is not greater than B'. 'A @ B' means 'A is neither smaller than nor equal to B'. 'A # B' means' A is not smaller than B'. 'A & B' means 'A is neither greater than nor equal to B'. 'A % B' means 'A is neither smaller than nor greater than B'. Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.Solution
Decoded statement : C = K, K > L, L < U, U ≤ G Decoded conclusion : I. G > L II. C > L III. C > G Combined Inequalities: C = K > L < U≤ G C = K > L < U ≤ G L < G. Hence conclusion I is true. C = K > L < U ≤ G C > L. Hence conclusion II is true. C = K > L < U ≤ G No relationship can be established between C and G. Hence conclusion III is not true.
I. 5x² - 24 x + 28 = 0  Â
II. 4y² - 8 y - 12= 0  Â
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 34x + 285 = 0
Equation 2: y² - 26y + 165 = 0
I. 4p² + 17p + 15 = 0
II. 3q² + 19q + 28 = 0
A and B are the roots of equation x2 - 13x + k = 0. If A - B = 5, what is the value of k?
I. 7x² + 52x + 21 = 0
II. 6y² + 7y - 24 = 0
I. 2x2 - 9 x + 9 = 0Â
II. 2y2 - 7 y + 3 = 0
I. 18p²- 21p + 6 = 0   Â
II. 16q² - 24q +9 = 0
I. 20x² - 93x + 108 = 0
II.72y² - 47y - 144 = 0