Question
Find the remainder when the number (256n + 105) is
divided by 16.Solution
ATQ,
256n + 105 = (16 × 16n) + (16 × 6) + 9 = 16 × (16n + 6) + 9 Since 16 × (16n + 6) is divisible by 16, the remainder is 9.
If the roots of the quadratic equation 7y² + 5y + 9 = 0 are α and β, then find the value of [(1/α) + (1/β)].
I. 27x² + 120x + 77 = 0
II. 56y² + 117y + 36 = 0
I. 8a2 – 22a+ 15 = 0
II. 12b2 - 47b + 40=0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 19x² - 92x + 73 = 0
Equation 2: 17y² - 76y + 59 = 0
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. 5x2 – 7x – 6 =0
II. 2y2 – 5y – 7 =0
I. 35x² + 83x + 36 = 0
II. 42y² + 53y + 15 = 0
I. 84x² - 167x - 55 = 0
II. 247y² + 210y + 27 = 0
I: x2Â + 31x + 228 = 0
II: y2 + 3y – 108 = 0
I. x2 + 28x + 96 = 0
II. y2 + 3y - 70 = 0
