Question
The positions of a cube are shown below. How many dots
will be on the face opposite to the face containing 2 dots?Solution
From the first two positions of the dice, we can see that there is one common face containing 5 dots. Therefore, other faces of these two positions will be opposite to each other. Thus, the face opposite to the face which contains 2 dots will contains 6 dots. Hence, option (2) is the correct answer.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 4x² - 12x + 9 = 0
Equation 2: 2y² + 8y + 6 = 0
I. 5x + 2y = 31
II. 3x + 7y = 36
I. 2x2 + 3x - 9 = 0
II. 3y2 - y - 10 = 0
I. 6y2 – 23y + 20 = 0
II. 4x2 – 24 x + 35 = 0
I. 6x² - 49x + 99 = 0
II. 5y² + 17y + 14 = 0
(i) 2x² – 9x + 10 = 0
(ii) 4y² – 12y + 9 = 0
I. 84x² - 167x - 55 = 0
II. 247y² + 210y + 27 = 0
I. 2x2 – 5x – 12 = 0
II. 2y2 + 13y + 20 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 13x² - 60x + 47 = 0
Equation 2: 17y² - 80y + 63 = 0
One of the roots of the equation x² – 12x + k = 0 is x = 3. The other root is ___________.
