121 Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank? Mathematics Medium Full question → A 9 min B 10 min C 11 min D 12 min
122 Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time? Mathematics Medium Full question → A 19 1/7 min B 15 1/7 min C 17 1/7 min D 7 1/7 min
123 Find the roots of quadratic equation: 3x2 – 7x – 6 = 0? Mathematics Medium Full question → A -6, 3 B 3, -2/3 C -5, 2 D -9, 2
124 Find the roots of quadratic equation: x2 + x – 42 = 0? Mathematics Medium Full question → A -6, 7 B -8, 7 C 14, -3 D -7, 6
125 Find the roots of quadratic equation: 2x2 + 5x + 2 = 0? Mathematics Medium Full question → A -2, -1/2 B 4, -1 C 4, 1 D -2, 5/2
126 I. a2 – 13a + 42 = 0, II. b2 – 15b + 56 = 0 to solve both the equations to find the values of a and b? Mathematics Medium Full question → A If a > b B If a ≥ b C If a < b D If a ≤ b.
127 I. a3 – 988 = 343, II. b2 – 72 = 49 to solve both the equations to find the values of a and b? Mathematics Medium Full question → A If a > b B If a ≥ b C If a < b D If a ≤ b
128 I. 9a2 + 18a + 5 = 0, II. 2b2 + 13b + 20 = 0 to solve both the equations to find the values of a and b? Mathematics Medium Full question → A If a > b B If a ≥ b C If a < b D If a ≤ b
129 I. x2 + 11x + 30 = 0, II. y2 + 15y + 56 = 0 to solve both the equations to find the values of x and y? Mathematics Medium Full question → A If x < y B If x > y C If x ≤ y D If x ≥ y
130 I. x2 + 9x + 20 = 0, II. y2 + 5y + 6 = 0 to solve both the equations to find the values of x and y? Mathematics Medium Full question → A If x < y B If x > y C If x ≤ y D If x ≥ y
131 I. x2 – x – 42 = 0, II. y2 – 17y + 72 = 0 to solve both the equations to find the values of x and y? Mathematics Medium Full question → A If x < y B If x > y C If x ≤ y D If x ≥ y
132 I. x2 + 5x + 6 = 0, II. y2 + 9y +14 = 0 to solve both the equations to find the values of x and y? Mathematics Medium Full question → A If x < y B If x > y C If x ≤ y D If x = y or the relationship between x and y cannot be established.
133 I. a2 + 8a + 16 = 0, II. b2 – 4b + 3 = 0 to solve both the equations to find the values of a and b? Mathematics Medium Full question → A If a < b B If a ≤ b C If the relationship between a and b cannot be established D If a > b
134 (i). a2 + 11a + 30 = 0, (ii). b2 + 6b + 5 = 0 to solve both the equations to find the values of a and b? Mathematics Medium Full question → A If a < b B If a ≤ b C If the relationship between a and b cannot be established D If a > b
135 (i). a2 – 9a + 20 = 0, (ii). 2b2 – 5b – 12 = 0 to solve both the equations to find the values of a and b? Mathematics Medium Full question → A If a < b B If a ≤ b C If the relationship between a and b cannot be established D If a ≥ b
136 (i). a2 – 7a + 12 = 0, (ii). b2 – 3b + 2 = 0 to solve both the equations to find the values of a and b? Mathematics Medium Full question → A if a < b B if a ≤ b C if the relationship between a and b cannot be established. D if a > b
137 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? Mathematics Medium Full question → A 10 B 8 C 15 D 7.5
138 Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0? Mathematics Medium Full question → A 3x 2 + 5x – 2 = 0 B 3x2 + 5x + 2 = 0 C 3x 2 – 5x + 2 = 0 D 3x 2 – 5x – 2 = 0
139 Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0? Mathematics Medium Full question → A 15 B 14 C 24 D 26
140 If a and b are the roots of the equation x2 – 9x + 20 = 0, find the value of a2 + b2 + ab? Mathematics Medium Full question → A -21 B 1 C 61 D 21