Q.13393·Miscellaneous·2013·EasyAs seen from the top and bottom of a building of height h metres, the angles of elevation of the top of a tower of height ((3 + √3)/2)h metres are α and β respectively. If β = 30°, and if θ is the angle of depression of the foot of the tower as seen from the top of the building, then what is tan θ equal to?View question
Q.13394·Miscellaneous·2013·EasyThe angles A, B, C, D of a quadrilateral ABCD are in the ratio 1:2:4:5. What is cos (A + B) equal to?View question
Q.13395·Miscellaneous·2013·EasyThe angles A, B, C, D of a quadrilateral ABCD are in the ratio 1:2:4:5. What is cosec (C – D + B) equal to?View question
Q.13396·Miscellaneous·2013·EasyThe angles A, B, C, D of a quadrilateral ABCD are in the ratio 1:2:4:5. Consider the following statements: 1. ABCD is a cyclic quadrilateral. 2. sin (B – A) = cos (D – C) Which of the above statements is/are correct?View question
Q.13397·Miscellaneous·2013·EasyThe angles A, B, C, D of a quadrilateral ABCD are in the ratio 1:2:4:5. What is sec² D – tan² D equal to?View question
Q.13398·Miscellaneous·2013·EasyAn isosceles right-angled triangle has area 1 square unit. What is its perimeter?View question
Q.13399·Miscellaneous·2013·EasyIf the heights and the areas of the base of a right circular cone and a pyramid with square base are the same, then they haveView question
Q.13400·Miscellaneous·2013·EasyA circular water fountain 6.6 m in diameter is surrounded by a path of width 1.5 m. The area of this path in square metres isView question
Q.13401·Miscellaneous·2013·EasyThe area of a rectangular field is 4500 square metres. If its length and breadth are in the ratio 9 : 5, then its perimeter isView question
Q.13402·Miscellaneous·2013·EasyThe area of a square inscribed in a circle of radius 8 cm isView question
Q.13403·Miscellaneous·2013·EasyA solid spherical ball of iron of radius 4 cm is melted to form spheres of radius 2 cm each. The number of spheres so formed isView question
Q.13404·Miscellaneous·2013·EasyFrom a solid wooden right circular cylinder, a right circular cone whose radius and height are same as the radius and height of the cylinder respectively, is carved out. What is the ratio of the volume of the utilized wood to that of the wasted wood?View question
Q.13405·Miscellaneous·2013·EasyThe arc AB of the circle with centre at ‘O’ and radius 10 cm has length 16 cm. What is the area of the sector bounded by the radii OA, OB and the arc AB?View question
Q.13406·Miscellaneous·2013·EasyThe height of a cylinder is 15 cm. The lateral surface area is 660 square cm. Its volume isView question
Q.13407·Miscellaneous·2013·EasyA bucket is of height 25 cm. Its top and bottom radii are 20 cm and 10 cm respectively. Its capacity in litres isView question
Q.13408·Miscellaneous·2013·EasyThe volume of a right circular cone of height 3 cm and slant height 5 cm isView question
Q.13409·Miscellaneous·2013·EasyA cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 6 cm and length of the tube is 10 cm. If the thickness of the metal used is 1 cm, then the outer curved surface area of the tube isView question
Q.13410·Miscellaneous·2013·EasyThe volume of the material of a hemispherical shell with outer and inner radii 9 cm and 7 cm respectively is approximatelyView question