Remember as a general thumb rule: If you know the parity (negative or positive) of the product of any number of variables, then the same will be the parity of any combination of those variables multiplied in numerator or denominator. Reason is pretty simple the parity of 'a' is always the same as th...

Remainder when 32^(32^32) OR (28+4)^(32^32) is divided by 7 is the same as remainder when 4^(32^32) is divided by 7. This is because all the terms in the expansion will be multiples of 7 except the last one, which is 4^(32^32). Also 32^32 when divided by 3 gives remainder (-1)^32 OR 1=>32^32 = 3k+1 ...

What is the implication of ab + c being odd? It implies that one of the two components (ab OR c) is even, while the other is odd. If that is true their product is also going to be even, since one component is even for sure. Hence, 3 must be true. Statements 1 and 2 have symmetry as “a� AND “b...

In such problems, one should try to satisfy the condition first. The condition here is that at least one marble of each type should be in the case. So, we give one marble of each type to the case. Now we are left with suit that can accommodate two more marbles out of the remaining marbles: 4Cs, 4Ss,...

In such problems where distinct objects have to be assigned or distributed across distinct places, think from the perspective of 'what' is being distributed and 'where' is it being distributed. 'What' is people and 'where' is office here! The first person has two choices as there are two offices. So...