Q.4555·Miscellaneous·2021·EasyIn a trapezium ABCD, AB is parallel to DC. The diagonals AC and BD intersect at P. If AP : PC = 4 : (4x – 4) and BP : PD = (2x – 1) : (2x + 4), then what is the value of x?View question
Q.4556·Miscellaneous·2021·EasyThe sides of a right-angled triangle are in the ratio x : (x - 1) : (x - 18). What is the perimeter of the triangle?View question
Q.4557·Miscellaneous·2021·EasyA metal solid cube of edge 24 cm is melted and made into three small cubes. If the edges of two small cubes are 12 cm and 16 cm, then what is the surface area of the third small cube?View question
Q.4558·Miscellaneous·2021·EasyA conical vessel whose internal radius is 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. What is the height to which the water rises?View question
Q.4559·Miscellaneous·2021·EasyA rectangular paper is 44 cm long and 22 cm wide. Let x be the volume of the largest cylinder formed by rolling the paper along its length and y be the volume of the largest cylinder formed by rolling the paper along its width. What is the ratio of x to y? (Take π = 22/7)View question
Q.4560·Miscellaneous·2021·EasyA sphere of diameter 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 6 cm. If the sphere is completely submerged in water, then by how much will the surface level of water be raised?View question
Q.4561·Miscellaneous·2021·EasyThe biography of Shaikh Muinuddin Chishti, authored by Jahanara, is known asView question
Q.4562·Miscellaneous·2021·EasyABC is a triangle right angled at B. Let M and N be two points on AB such that AM = MN = NB. Let P and Q be two points on AC such that PM is parallel to QN and QN is parallel to CB. If BC = 12 cm, then what is (PM + QN) equal to?View question
Q.4563·Miscellaneous·2021·EasyThe sides of a triangle ABC are 4 cm, 6 cm and 8 cm. With the vertices of the triangle as centres, three circles are drawn each touching the other two externally. What is the sum of the radii of the three circles?View question
Q.4564·Miscellaneous·2021·EasyLet PAB be a secant to a circle intersecting the circle at A and B. Let PT be the tangent segment. If PA = 9 cm and PT = 12 cm, then what is AB equal to?View question
Q.4565·Polity·2021·EasyIf the perimeter of a right-angled triangle is 30 cm and the hypotenuse is 13 cm, then what is the area of the triangle?View question
Q.4566·Miscellaneous·2021·EasyWhich one of the following statements in the context of social sector spending in India during 2014–19 (both States and the Union Government together) is true?View question
Q.4567·Miscellaneous·2021·EasyABC is a triangle right angled at C. Let p be the length of the perpendicular drawn from C on AB. If BC = 6 cm and CA = 8 cm, then what is the value of p?View question
Q.4568·Miscellaneous·2021·EasyAccording to UNDP’s Human Development Report – 2020, in which of the HDI components has India improved in recent years? 1. Life expectancy at birth 2. Expected years of schooling 3. GNI per capita 4. Mean years of schooling Select the correct answer using the code given below :View question
Q.4569·Miscellaneous·2021·EasyA circle touches all the four sides of a quadrilateral ABCD. If AB = 9 cm, BC = 8 cm and CD = 12 cm, then what is DA equal to?View question
Q.4570·Miscellaneous·2021·EasyWhich one of the following is true of a pure voluntary exchange between two parties A and B?View question
Q.4571·Miscellaneous·2021·EasyYear 2015 2016 Country A 35 38 Country B 45 47 Country C 88 93 Country D 75 79 Country E 58 60·9 In which of the countries, the production of cars has increased by more than or equal to 5% in 2016 over 2015?View question