Question
In the following question the relationship between
different elements is given in the statements followed by three conclusions I, II and III. Read the statements carefully and mark your answer accordingly. Statements: I ≤ D ≤ C < A = H, E ≥ B ≥ A Conclusions: I. E > I II. D ≤ B III. C ≥ ESolution
I ≤ D ≤ C < A = H ≤ B ≤ E                           E > I. Hence conclusion I is true. D ≤ C < A = H ≤ B                                        B > D. Hence conclusion II is not true. C < A = H ≤ B ≤ E                                        E > C. Hence conclusion III is not true.
If 64x3 - 343y3 = (4x - Ay) X (Bx2 + 49y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.
If a + b + c = 8, a² + b² + c² = 18 and ab + b c+ ca = 12, then what is the value of a³ + b³ +c³ –3abc?
If Â
 = 4 then Â
(a + 7)2 + (b – 2) 2 + (c + 3) 2 = 0, then find the value of 3a - 2b + c.
Two positive numbers differ by 2, and the sum of their reciprocals is 3/4. What is the larger number?
(x + 1)2 + (y – 3) 2 + (z + 5) 2 = 0, then find the value of 2x + 3y - z.
If x + 1/x = 5, then x2 + 1/x2 is:
(x – 6) 2 + (y + 2) 2 + (z – 4) 2 = 0, then find the value of 4x - 3y + z.
22% of ‘x’ is equal to 66% of ‘y’, then find the value of x: y.