Q.7327·Miscellaneous·2018·EasyA circle is inscribed in an equilateral triangle of side of length l. The area of any square inscribed in the circle isView question
Q.7328·Miscellaneous·2018·EasyWalls (excluding roofs and floors) of 5 identical rooms having length, breadth and height 6 m, 4 m and 2.5 m respectively are to be painted. Out of five rooms, two rooms have one square window each having a side of 2.5 m. Paints are available only in cans of 1 litre; and 1 litre of paint can be used for painting 20 square metres. The number of cans required for painting isView question
Q.7329·Miscellaneous·2018·EasyLet S be the parallelogram obtained by joining the mid-points of the parallelogram T. Consider the following statements: 1. The ratio of area of T to that of S is 2 : 1. 2. The perimeter of S is half of the sum of diagonals of T. Which of the above statements is/are correct?View question
Q.7330·Miscellaneous·2018·EasyThe sides of a triangle are 5 cm, 6 cm and 7 cm. The area of the triangle is approximatelyView question
Q.7331·Miscellaneous·2018·EasyA semi-circular plate is rolled up to form a conical surface. The angle between the generator and the axis of the cone isView question
Q.7332·Miscellaneous·2018·EasyIf a point P moves such that the sum of the squares of its distances from two fixed points A and B is a constant, then the locus of the point P isView question
Q.7333·Miscellaneous·2018·EasyIf ABC is a right-angled triangle with AC as its hypotenuse, then which one of the following is correct?View question
Q.7334·Miscellaneous·2018·EasyThe area of the region bounded externally by a square of side 2a cm and internally by the circle touching the four sides of the square isView question
Q.7335·Miscellaneous·2018·EasyAn equilateral triangle, a square and a circle have equal perimeter. If T, S and C denote the area of the triangle, area of the square and area of the circle respectively, then which one of the following is correct?View question
Q.7336·Miscellaneous·2018·EasyConsider the following statements : Statement I : Median can be computed even when the end intervals of a frequency distribution are open. Statement II : Median is a positional average. Which one of the following is correct in respect of the above statements?View question
Q.7337·Miscellaneous·2018·EasyOn the top of a hemispherical dome of radius r, there stands a flag of height h. From a point on the ground, the elevation of the top of the flag is 30°. After moving a distance d towards the dome, when the flag is just visible, the elevation is 45°. The ratio of h to r is equal toView question
Q.7338·Miscellaneous·2018·EasyIn the figure given below, the radius of the circle is 6 cm and AT = 4 cm. The length of tangent PT isView question
Q.7339·Miscellaneous·2018·EasyIn the figure given below, ABCD is the diameter of a circle of radius 9 cm. The lengths AB, BC and CD are equal. Semicircles are drawn on AB and BD as diameters as shown in the figure. What is the area of the shaded region?View question
Q.7340·Miscellaneous·2018·EasyIn the figure given below, AB is the diameter of the circle whose centre is at O. Given that ∠ECD = ∠EDC = 32°, then ∠CEF and ∠COF respectively areView question
Q.7341·Miscellaneous·2018·EasyIn the figure given below, ABC is a triangle with AB perpendicular to BC. Further BD is perpendicular to AC. If AD = 9 cm and DC = 4 cm, then what is the length of BD?View question
Q.7342·Miscellaneous·2018·EasyIn the figure given below, the diameter of bigger semicircle is 108 cm. What is the area of the shaded region?View question
Q.7343·Miscellaneous·2018·EasyIn the figure given below, ABC is an equilateral triangle with each side of length 30 cm. XY is parallel to BC, XP is parallel to AC and YQ is parallel to AB. If XY + XP + YQ is 40 cm, then the value of PQ isView question
Q.7344·Miscellaneous·2018·EasyIn the figure given below, ABCD is a square of side 4 cm. Quadrants of a circle of diameter 2 cm are removed from the four corners and a circle of diameter 2 cm is also removed. What is the area of the shaded region?View question