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Since the given number is divisible by 72, it must also be divisible by both 9 and 8. We know that for a number to be divisible by '8', the number formed by last three digits of the number must also be divisible by '8'. So, '62y' must be divisible by 8. Only value of 'y' that makes '62y' divisible by '8' is '4'. So, y = 4 Now, for the number to be divisible by 9, the sum of digits of the number must be divisible by 9. Sum of digits of the given number = 5 + 0 + 2 + x + 6 + 2 + 4 = (19 + x) So, possible value of 'x' = 27 - 19 = 8 So, required value = 8 - 4 = 4
The perimeter of 4 squares is 20 cm, 24 cm, 32 cm and 36 cm respectively. What will be the area of the square having perimeter equal to sum of edges of ...
If the length of certain rectangle is decreased by 4 cm and breadth is increased by 2 c, it would result in a square of the same area. What is the perim...
Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square i...
A man standing in a point C of a ground. He observes a flying an aero-plane in the east at an angle of elevation of 30° and after 30 seconds, he obs...
A maximum size sphere is cut from a hemisphere of radius r. Find the ratio of volume of hemisphere to sphere?
Ratio of length to width of a rectangular field is 7:4. If the perimeter of the field is 220 metres, then find the area (in m2) of the field.
The breadth ‘b’ of a room is twice its height and half of its length. Find the length of the longest diagonal of the room
The length of the side of a cube is 5.6 cm. What is the volume of the largest sphere that can be taken out of the cube?
Each side of a rhombus is 20cm long and the length of one of its diagonals is 24cm, then find the area of the rhombus.(in cm 2 )
The angle of elevation of the top of a tower from a point on the ground which is 45 meters. away from the foot of the tower is 30°. The height of the t...
