141 The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers? Mathematics Medium Full question → A 18, 20, 22 B 20, 22, 24 C 22, 24, 26 D 24, 26, 28
142 One root of the quadratic equation x2 – 12x + a = 0, is thrice the other. Find the value of a? Mathematics Medium Full question → A 29 B 27 C 28 D 7
143 The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers? Mathematics Medium Full question → A 9, 10 B 10, 11 C 11, 12 D 12, 13
144 If the roots of the equation 2x2 – 5x + b = 0 are in the ratio of 2:3, then find the value of b? Mathematics Medium Full question → A 3 B 4 C 5 D 6
145 The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are? Mathematics Medium Full question → A 10, 3 B -10, 3 C -20, 3 D -10, -3
146 If the roots of a quadratic equation are 20 and -7, then find the equation? Mathematics Medium Full question → A x2 + 13x – 140 = 0 B x2 – 13x + 140 = 0 C x2 – 13x – 140 = 0 D x2 + 13x + 140 = 0
147 The roots of the equation 3x2 – 12x + 10 = 0 are? Mathematics Medium Full question → A rational and unequal B complex C real and equal D irrational and unequal
148 Find the roots of the quadratic equation: 2×2 + 3x – 9 = 0? Mathematics Medium Full question → A 3, -3/2 B 3/2, -3 C -3/2, -3 D 3/2, 3
149 Find the roots of the quadratic equation: x2 + 2x – 15 = 0? Mathematics Medium Full question → A -5, 3 B 3, 5 C -3, 5 D -3, -5
150 An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases. Mathematics Medium Full question → A 4 : 3 B 8 : 7 C 4 : 1 D 6 : 5
151 The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter? Mathematics Medium Full question → A 91.5 cm B 93.5 cm C 94.5 cm D 92.5 cm
152 The length of a rectangle is two – fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units? Mathematics Medium Full question → A 140 B 156 C 175 D 214
153 Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm? Mathematics Medium Full question → A 225 sq.m B 360 sq.m C 600 sq.m D 480 sq.m
154 The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas? Mathematics Medium Full question → A 81 : 121 B 9 : 11 C 729 : 1331 D 27 : 12
155 A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire? Mathematics Medium Full question → A 45 cm B 18 cm C 90 cm D None of these
156 The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire? Mathematics Medium Full question → A 2 : 5 B 1 : 5 C 3 : 5 D 4 : 5
157 The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions. Mathematics Medium Full question → A 252 m B 704 m C 352 m D 808 m
158 The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? Mathematics Medium Full question → A Rs. 4800 B Rs. 3600 C Rs. 3560 D Rs. 4530
159 A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained? Mathematics Medium Full question → A 10 B 100 C 1000 D 10000
160 There are two circles of different radii. The area of a square is 196 sq.cm, whose side is half the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle ? Mathematics Medium Full question → A 12 π cm B 16 π cm C 24 π cm D 32 π cm