Question: (i). a2– 7a + 12 = 0,(ii). b2– 3b + 2 = 0 to solve both the equations to find the values of a and b?

• 1. if a < b
• 2. if a ≤ b
• 3. if the relationship between a and b cannot be established.
• 4. if a > b

Question: A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?

• 1. 10
• 2. 8
• 3. 15
• 4. 7.50

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