Three different positions of the same dice are shown (figures 1 to 3). find the number on the face opposite to the face having '1'.

In a certain code language, 'GOLF’ is coded as '44' and 'BALL' is coded as '31'. How will 'PLAY' be coded in that language?

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E. g. 13 – Operations on 13 such as adding / subtracting / multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)

(11,13,143)
 (17, 11, 187)

If the areas of two isosceles triangles are in the ratio of X² : Y², then the ratio of their corresponding heights is:

If x = 222, y = 223 and z = 224, then find the value of x³+y³+z³-3xyz

A conical vessel, whose internal radius is 20 cm and height is 27 cm, is full of water. If this water is poured into a cylindrical vessel with internal radius 15cm, what will be the height to which the water rises in it?

Given that y is directly proportional to x and y = 2 when x = 8. Find the value of x when y = 8.

Find the HCF of 60, 148 and 382.