Two tankers contain ^@648^@ liters and ^@408^@ liters of petrol respectively. A container with maximum capacity is used which can measure the petrol of either tanker in the exact number of liters. How many containers of petrol are there in the first tanker.
In the given figure, ^@ABCDE^@ is a pentagon with ^@BE\parallel CD^@ and ^@BC \parallel ED^@. ^@BC^@ is perpendicular to ^@CD^@. If the perimeter of ^@ABCDE^@ is ^@21 \space cm^@. Find the value of ^@x^@ and ^@y^@.
If the roots of the equation ^@x^2 + 2cx + ab = 0^@ are real and unequal, then the equation ^@x^2- 2(a + b) x + a^2 + b^2 + 2c^2 = 0^@ has ____________ roots.
In the given figure, three circles with centers ^@ A, B, ^@ and ^@ C ^@ touch each other externally. If ^@ AB = 8 \space cm, BC = 10 \space cm,^@ and ^@ AC = 7 \space cm^@. What is the radius of the circle with center ^@B^@ ?
The difference between circumference and diameter of a circular plot is ^@ 39 \space m^@. Find the area of the circular plot. ^@ \left( \text{Assume } \pi = \dfrac{ 22 }{ 7 } \right) ^@
There is a right cylindrical vessel of radius 3 cm and height 19 cm which is full of chocolate mousse. This chocolate mousse needs to be filled in cones of height 13 cm and radius 3 cm having a hemispherical shape on the top. How many such cones can be filled with chocolate mousse?
There are a total of 16 chocolates - 4 each in the flavors of banana, mango, strawberry and coffee. There are also 5 children. If each child is allowed to choose their own favorite flavor, what is the probability that all of them will get flavors of their choice?
Faces of a cube are marked with 1,2,3,4,5 and 6. Two views of the cube are as shown below, if face 3 is opposite to face 6, what will be there on the bottom when 1 is at the top?
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