EASY
Earn 100

How many 250 mL glasses can be filled from 1 litre syrup bottle?

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Important Questions on Jugs and Mugs

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A circular coil of radius 1 cm is allowed to roll freely on the periphery over a circular disc of radius 10 cm. If the disc has no movement and the coin completes one revolution rolling on the periphery over the disc and without slipping, then what is the number of times the coin rotated about its centre?

EASY
A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points RP and Q, respectively. If AQ=3.5 cm, PC=4.5 cm and BR=7 cm, then the perimeter (in cm) of the triangle ABC is:
MEDIUM
The perimeter of a circular lawn is 1232 m. There is 7 m wide path around the lawn. The area  (in m2) of the path is: (Take π=227)
MEDIUM
Triangle ABC is similar to LDEF. The perimeters of AABC and ADEF are 40 cm and 30 cm respectively. What is the ratio of (BC+CA) to (EF+FD) equal to?
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A plano-convex lens of unknown material and unknown focal length is given. With the help of a spherometer we can measure the
EASY

There are two concentric circles. The radii of the two circles are 100 m and 110 m respectively. A wheel of radius 30 cm rolls on the smaller circle and another wheel rolls on the larger circle. After they have completed one revolution, it is found that the two wheels rolled equal number of times on their respective axes. What is the radius of the other wheel?

EASY
The perimeter of a square is half the perimeter of a rectangle. The perimeter of the square is 40 m. If its breadth is two-third of its length, then what is the area (in m2) of the rectangle?
MEDIUM
The radius of a circular field is equal to the side of a square field. If the difference between the perimeter of the circular field and that of the square field is 32 m, what is the perimeter of the square field?
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The radius of a circular garden is 42 m. The distance (in meter) covered by running 8 rounds around it is: (Take π=227
EASY
If the area of an equilateral triangle is 363 cm2, then the perimeter of the triangle is:
MEDIUM
The sides of a right-angled triangle are in the ratio x:x-1:x-18. What is the perimeter of the triangle?
EASY
Find the perimeter (in cm) of a semicircle of radius 7 cm.
MEDIUM
Two rectangles are of same area equal to 480 sq.cm. They differ in lengths by 6 cm and breadths by 4 cm. What is the difference in their perimeters?
EASY

Consider the following

Question Image

There are seven places marked as P, Q, R, S, T, U and V as shown in the diagram. The directly connected paths between two places are indicated by line segments joining the two places along-with the length labelled (in km). Then, the shortest distance between P and U is

HARD
A sphere is divided in 2 : 3. Big portion moulded into a cone of which base radius is equal to its height. While small portion moulded into a cylinder of which height is equal to base radius. Find the ratio of Base radius of cone and height of cylinder. 
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What is the area of triangle whose sides are 3 cm5 cm and 4 cm?
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The area of the four walls of a room having length 6 cm breadth 4 m and height 4 m, is:
MEDIUM
The area of each square of a chessboard having 64 equal squares is 4 cm2. If there is a border on all the sides of the chessboard of 2 cm, then the perimeter of the chessboard is:
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If the perimeter of a semi-circle is 144 cm, find its radius (in cm).
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The radius of a circular field is 31.5 metres. What is the circumference?