Question
By interchanging the given two numbers (not digits),
which of the following equations will be correct? 44 and 19 I. 203 + 44 – 27 × 19 ÷ 11 = 114 II. 9 × 572 ÷ 19 – 44 + 4 = 120Solution
I. 203 + 44 – 27 × 19 ÷ 11 = 114 203 + 19 – 27 × 44 ÷ 11 = 114 203 + 19 – 27 × 4 = 114 203 + 19 – 108 = 114 114 = 114 II. 9 × 572 ÷ 19 – 44 + 4 = 120 9 × 572 ÷ 44 – 19 + 4 = 120 9 × 13 – 19 + 4 = 120 117 – 19 + 4 = 120 102 ≠120
The quadratic equation (p + 1)x 2 - 8(p + 1)x + 8(p + 16) = 0 (where p ≠-1) has equal roots. find the value of p.
What is the speed of the stream if a ship takes 15 hours to travel 240 km in calm waters, given that the ratio of its speed against the current to its s...
I. 2x² + 15 x - 27 = 0
II. 3 y² + 25 y - 18 = 0
What are the coordinates of the point which divides the line joining (-1, 7) and (4, 3) in the ratio 2:3?
I. 104x² + 9x - 35 = 0
II. 72y² - 85y + 25 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 50x + 600 = 0
Equation 2: y² - 51y + 630 = 0
I. 63x² + 146x + 80 = 0
II. 42y² + 109y + 70 = 0
I. 165x² + 97x + 10 = 0
II. 117y² - 163y + 56 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 41x + 400 = 0
Equation 2: y² - 41y + 420 = 0
l). 2p² - 10p - 48 = 0
ll). q ² + 5q - 234 = 0