Q.8245·Miscellaneous·2017·EasyThe average height of 22 students of a class is 140 cm and the average height of 28 students of another class is 152 cm. What is the average height of students of both the classes?View question
Q.8246·Miscellaneous·2017·EasyThe diagonals of a rhombus are of length 20 cm and 48 cm. What is the length of a side of the rhombus?View question
Q.8247·Miscellaneous·2017·EasyConsider the following statements in respect of three straight lines A, B and C on a plane: 1.If A and C are parallel and B and C are parallel; then A and B are parallel. 2.If A is perpendicular to C and B is perpendicular to C; then A and B are parallel. 3.If the acute angle between A and C is equal to the acute angle between B and C; then A and B are parallel. Which of the above statements are correct?View question
Q.8248·Miscellaneous·2017·EasyIn a triangle PQR, X is a point on PR and Y is a point on QR such that PR = 10 cm, RX = 4 cm, YR = 2 cm, QR = 5 cm. Which one of the following is correct?View question
Q.8249·Miscellaneous·2017·EasyIn a triangle ABC, the medians AD and BE intersect at G. A line DF is drawn parallel to BE such that F is on AC. If AC = 9 cm, then what is CF equal to?View question
Q.8250·Miscellaneous·2017·EasyA tent has been constructed which is in the form of a right circular cylinder surmounted by a right circular cone whose axis coincides with the axis of the cylinder. If the radius of the base of the cylinder is 50 m, the height of the cylinder is 10 m and the total height of the tent is 15 m, then what is the capacity of the tent in cubic metres?View question
Q.8251·Miscellaneous·2017·EasyFrom a solid cylinder whose height is 8 cm and of base radius 6 cm, a conical cavity of height 8 cm and of base radius 6 cm is formed by hollowing out. What is the inner surface area of the cavity?View question
Q.8252·Miscellaneous·2017·EasyThe radii of the frustum of a right circular cone are in the ratio 2 : 1. What is the ratio of the volume of the frustum of the cone to that of the whole cone?View question
Q.8253·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.8254·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.8255·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.8256·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.8257·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.8258·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.8259·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.8260·Miscellaneous·2017·EasyWhat is the area of the triangle whose sides are 51 cm, 37 cm and 20 cm ?View question
Q.8261·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.8262·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