Question: Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2+ 8x + 4 = 0?

• 1. 15
• 2. 14
• 3. 24
• 4. 26

Question: If a and b are the roots of the equation x2– 9x + 20 = 0, find the value of a2+ b2+ ab?

• 1. -21
• 2. 1
• 3. 61
• 4. 21

Question: The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?

• 1. 18, 20, 22
• 2. 20, 22, 24
• 3. 22, 24, 26
• 4. 24, 26, 28

Question: One root of the quadratic equation x2– 12x + a = 0, is thrice the other. Find the value of a?

• 1. 29
• 2. 27
• 3. 28
• 4. 7

Question: The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?

• 1. 9, 10
• 2. 10, 11
• 3. 11, 12
• 4. 12, 13

Question: If the roots of the equation 2x2– 5x + b = 0 are in the ratio of 2:3, then find the value of b?

• 1. 3
• 2. 4
• 3. 5
• 4. 6

Question: The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are?

• 1. 10, 3
• 2. -10, 3
• 3. -20, 3
• 4. -10, -3

Question: If the roots of a quadratic equation are 20 and -7, then find the equation?

• 1. x2 + 13x – 140 = 0
• 2. x2 – 13x + 140 = 0
• 3. x2 – 13x – 140 = 0
• 4. x2 + 13x + 140 = 0

Question: The roots of the equation 3x2– 12x + 10 = 0 are?

• 1. rational and unequal
• 2. complex
• 3. real and equal
• 4. irrational and unequal

Question: Find the roots of the quadratic equation: 2×2 + 3x – 9 = 0?

• 1. 3, -3/2
• 2. 3/2, -3
• 3. -3/2, -3
• 4. 3/2, 3