Q.3349·Miscellaneous·2022·EasyABCD is a trapezium in which AB is parallel to DC. The vertices A, B, C and D pass through a circle. Which of the following are correct ? 1. AD = BC 2. ∠A + ∠C = 180° 3. ∠A + ∠D = 180° Select the correct answer using the code given belowView question
Q.3350·Miscellaneous·2022·EasyTwo parallel sides of a trapezium are 29 cm and 21 cm. Non-parallel sides are equal and each is of length 8-5 cm. What is the area of the trapezium ?View question
Q.3351·Miscellaneous·2022·EasyA rectangular metal sheet is of length 24 cm and breadth 18 cm. From each of its corners a square of side x cm is cut off and an open box is made of the remaining sheet. If the volume of the box is 640 cubic cm, then what is the value of x ?View question
Q.3352·Miscellaneous·2022·EasyThe area of a rhombus is 96 square cm and one of its diagonals is of length 12 cm. What is the perimeter of the rhombus ?View question
Q.3353·Miscellaneous·2022·EasyThe height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to its1 base. If its volume is of the volume of the 27 given cone, then what is the height of the frustum of the cone ?View question
Q.3354·Miscellaneous·2022·EasyA right-angled triangle ABC is inscribed in a circle of radius 10 cm. The altitude drawn to the hypotenuse AC is of length 8 cm. If AB = x cm and BC = y cm, then what is the value of xy ?View question
Q.3355·Miscellaneous·2022·EasyThe diameter of a sphere made of copper is 3 cm. The sphere is melted and recast into a wire. If the length of the wire is half metre, then what is the diameter of the wire ?View question
Q.3356·Miscellaneous·2022·EasyA square and a rectangle have same perimeter. They differ in areas by 1 square cm. The length of the rectangle exceeds its breadth byView question
Q.3357·Miscellaneous·2022·EasyThe perpendicular AD on the base BC of a triangle ABC intersects BC at D so that DB = 3 CD. Which one of the following is correct ?View question
Q.3358·Miscellaneous·2022·EasyConsider the following for the next two (02) items that follow : A chord of length I of a circle makes an angle 90° at the centre of the circle. What is the area of the major segment ?View question
Q.3359·Miscellaneous·2022·EasyConsider the following for the next two (02) items that follow : A chord of length I of a circle makes an angle 90° at the centre of the circle. What is the area of the minor segment ?View question
Q.3360·Miscellaneous·2022·EasyConsider the following for the next three (03) items that follow: A conical vessel of radius 12 cm and height 16 cm is filled with water. A sphere is lowered into water and its size is such that it touches the sides of the vessel and it is just immersed. What is the ratio of lateral surface area of the vessel to the surface area of the sphere ?View question
Q.3361·Miscellaneous·2022·EasyConsider the following statements: 1. In an equilateral triangle, the centroid and centre of circumcircle coincide. 2. Angle bisectors of a cyclic quadrilateral form another cyclic quadrilateral. 3. Every cyclic parallelogram is a rectangle. Which of the statements given above are correct?View question
Q.3362·Miscellaneous·2022·EasyLet x, y, z be the length, breadth, height of a cuboid. If its volume is 400 cubic cm and total surface area is 340 square cm, then what is x^-1 + y^-1 + z^-1 equal to ?View question
Q.3363·Miscellaneous·2022·EasyIn a triangle ABC, DE is a line segment which intersects AB at D and AC at E such that DE is parallel to BC. The line segment divides the triangle in two parts of equal area. What is BD/AB equal to ?View question
Q.3364·Miscellaneous·2022·EasyABCD is a cyclic quadrilateral. AB and DC when produced, meet in E. Which of the following statements is/are correct ? 1. △EBC is similar to △EAD. 2. ∠СВЕ + ∠DAE = 180°. Select the correct answer using the code given below:View question
Q.3365·Miscellaneous·2022·EasyConsider the following for the next three (03) items that follow : A frequency distribution table is given below: Total frequency is 200 and mean of the distribution is 1.46 What is the median of the distribution ?View question
Q.3366·Miscellaneous·2022·EasyConsider the following for the next three (03) items that follow : A triangle ABC with sides AB = 15 cm, BC = 9 cm, CA = 12 cm is inscribed in a circle. What is the radius of the circle ?View question