Q.8245·Miscellaneous·2017·EasyA cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 30 cm in diameter is gently dropped into the vessel and is completely immersed. To what further height will the water in the cylinder rise?View question
Q.8246·Miscellaneous·2017·EasyA cylinder of height 2x is circumscribed by a sphere of radius 2x such that the circular ends of the cylinder are two small circles on the sphere. What is the ratio of the curved surface area of the cylinder to the surface area of the sphere?View question
Q.8247·Miscellaneous·2017·EasyIf PL, QM and RN are the altitudes of triangle PQR whose orthocentre is O, then Q is the orthocentre of the triangleView question
Q.8248·Miscellaneous·2017·EasyThe distance between the centres of two circles having radii 9 cm and 4 cm is 13 cm. What is the length of the direct common tangent of these circles ?View question
Q.8249·Miscellaneous·2017·EasyThe diagonals of a cyclic quadrilateral ABCD intersect at P and the area of the triangle APB is 24 square cm. If AB = 8 cm and CD = 5 cm, then what is the area of the triangle CPD ?View question
Q.8250·Miscellaneous·2017·EasyAB and CD are parallel chords of a circle 3 cm apart. If AB = 4 cm, CD = 10 cm, then what is the radius of the circle ?View question
Q.8251·Miscellaneous·2017·EasySegment QR of length r is a tangent at Q to a circle of radius r with centre at P. What is the area of the part of the triangle PQR, which is outside the circular region ?View question
Q.8252·Miscellaneous·2017·EasyWhat is the area of the triangle whose sides are 51 cm, 37 cm and 20 cm ?View question
Q.8253·Miscellaneous·2017·EasyAn isosceles triangle is drawn outside on one of the sides of a square as base in such a way that the perimeter of the complete figure is (7/6) times the perimeter of the original square. What is the ratio of area of the triangle to the area of the original square ?View question
Q.8254·Miscellaneous·2017·EasyTwo straight lines AB and AC include an angle. A circle is drawn in this angle which touches both these lines. One more circle is drawn which touches both these lines as well as the previous circle. If the area of the bigger circle is 9 times the area of the smaller circle, then what must be the angle A ?View question
Q.8255·Miscellaneous·2017·EasyA hollow cube is formed by joining six identical squares. A rectangular cello tape of length 4 cm and breadth 0.5 cm is used for joining each pair of edges. What is the total area of cello tape used ?View question
Q.8256·Miscellaneous·2017·EasyThe diameters of two given circles are in the ratio 12 : 5 and the sum of their areas is equal to the area of a circle of diameter 65 cm. What are their radii ?View question
Q.8257·Miscellaneous·2017·EasyThe value of sin(1°)/sin(1c) where 1c represents 1 radian isView question
Q.8258·Miscellaneous·2017·EasySelect the word that is opposite in meaning to the underlined word and mark your response in your Answer Sheet accordingly. In those days many monarchs enjoyed vast ecclesiastical powers.View question
Q.8259·Miscellaneous·2017·EasySelect the word that is opposite in meaning to the underlined word and mark your response in your Answer Sheet accordingly. The question is not whether the court vindicates him with regard to his involvement in the case, but how he feels about it.View question
Q.8260·Miscellaneous·2017·EasyLet AB represent a building of height h metre with A being its top, B being its bottom. Let A'B' represent a tower of height (h + x) metre (x > 0) with A' being its top and B' being its bottom. Let BB' = d metre. Let the angle of elevation of A' as seen from A be 45°. Consider the following statements : Statement I : h + x > d Statement II : The angle of depression of B as seen from A' is less than 45°. Which one of the following is correct?View question
Q.8261·Miscellaneous·2017·EasySelect the word that is opposite in meaning to the underlined word and mark your response in your Answer Sheet accordingly. The seminar which Ravi organised proved to be momentous event.View question
Q.8262·Miscellaneous·2017·EasySelect the word that is opposite in meaning to the underlined word and mark your response in your Answer Sheet accordingly. The writer’s erudition in science is revealed in every page of the book.View question