Q221
Open questionIn the given figure, ABC is an equilateral triangle which is inscribed inside a circle and whose radius is r. Which of the following is the area of the triangle ?
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Q222
Open questionA kite-shaped quadrilateral of the largest possible area is cut from a circular sheet of paper. If the lengths of the sides of the kite are in the ratio 3 : 3 : 4 : 4, what percentage of the circular sheet is wasted ?
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Q223
Open questionA rectangular paper, when folded into two congruent parts had a perimeter of 34 cm for each part folded along one set of sides and the same is 38 cm when folded along the other set of sides. What is the area of the paper ?
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Q224
Open questionThe length of a rectangle is decreased by r%, and the breadth is increased by (r + 5)%. Find r, if the area of the rectangle is unaltered :
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Q225
Open questionThe cost of cultivating a square field at the rate of Rs. 685 per hector is Rs. 6165. The cost of putting a fence around it at the rate of Rs. 48.75 per metre would be :
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Q226
Open questionIf the length of the diagonal of a square is 20 cm, then its perimeter must be :
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Q227
Open questionThe area of a square is twice that of a rectangle. The perimeter of the rectangle is 10 cm. If its length and breadth each is increased by 1 cm, the area of the rectangle become equal to the area of the square. The length of side of the square is :
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Q228
Open questionIn ΔPQR, side PQ = 32 cm and side PR = 25 cm. What is the measure of side QR ?
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Q229
Open questionIf the perimeter of a right-angled isosceles triangle is cm, the length of the hypotenuse is :
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Q230
Open questionA field in the form of a parallelogram has one side 150 metres and its distance from the opposite side is 80 metres. The cost of watering the field at the rate of 50 paise per square metre is :
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Q231
Open questionThe area of a circular field is equal to the area of a rectangular field. The ratio of the length and the breadth of the rectangular field is 14 : 11 respectively and perimeter is 100 metres. What is the diameter of the circular field ?
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Q232
Open questionThe areas of two circular fields are in the ratio 16 : 49. If the radius of the latter is 14 m, the what is the radius of the former ?
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Q233
Open questionTwo boys are running on two different circular paths with same centre. If their radii are 5 m and 10 m, the maximum possible distance between them is :
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Q234
Open questionThe minute hand of a clock is 7 cm long. Find the area of the sector made by the minute hand between 7 am and 7.05 am :
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Q235
Open questionThree boys are standing on a circular boundary of a fountain. They are at equal distance from each other. If the radius of the boundary is 5 m, the shortest distance between any two boys is :
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Q236
Open questionA one-rupee coin is placed on a plain paper. How many coins of the same size can be placed round it so that each one touches the centre and adjacent coins ?
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Q237
Open questionFour circles having equal radii are drawn with centres at the four corners of a square. Each circle touches the other two adjacent circles. If the remaining area of the square is 168 cm2, what is the size of the radius of the circle ? (in centimetres)
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Q238
Open questionA courtyard is 25 m long and 16 m broad is to be paved with bricks of dimensions 20 cm by 10 cm. What is the total number of bricks required ?
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