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Each face of a cube can be painted in black or white colours. In how many different ways can the cube be painted?
Each face of a cube can be painted in black or white colours. In how many different ways can the cube be painted?
Gold is times as heavy as water and copper is
times as heavy as water. In what ratio should these be mixed to get an alloy
times as heavy as water?
A five digit number divisible by is to be formed using digits
,
,
,
,
and
without repetition. The total number of ways this can be done is
A boat sails in still water, however it takes thrice as much time in going the same distance against the current when compared to the direction of the current. Find the speed of the current?
How many triplets satisfy the equation
, where
,
and
are natural numbers?
If $ means ‘divided by’; @ means ‘multiplied by’; # means ‘minus’, then the value of 10#[email protected]$5 is