Question
If the number ‘7k854l2’ is divisible by 12, then what
is the highest value of (k + l)?Solution
ATQ,
Divisible by 12 ⇒ divisible by both 3 and 4
Last two digits: ‘l2’ ⇒ l = 0, 2, 4, 6, 8
Maximum l = 8
Sum = 7 + k + 8 + 5 + 4 + 8 + 2 = 34 + k
34 + k divisible by 3 → k = 2, 5, 8
Max k = 8
Max (k + l) = 8 + 8 = 16
In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer
I. x² - 8x + 15 = 0 ...
I. 6x² - 23x + 7 = 0
II. 6y² - 29y + 9 = 0
I. 5x² = 19x – 12
II. 5y² + 11y = 12
I. 2p2 - 3p – 2 = 0 II. 2q2 - 11q + 15 = 0
I: x2 - 33x + 242 = 0
II: y2 - 4y - 77 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 36x + 288 = 0
Equation 2: y² - 36y + 320 = 0
I. 5x2 – 18x + 16 = 0
II. 3y2 – 35y - 52 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 24x + 143 = 0
Equation 2: y² - 20y + 96 = 0
I. 35x² - 46x – 16 = 0
II. 35y² - 116y + 96 = 0
I. x2 – 3(x + 5) = -11
II. y2 – 4(y + 2) = -2y
Relevant for Exams:
