The first (int) (q-p) : The Difference Between Two Pointers , Gives The Number Of Addresses(Num Of Elements) Between Them , Hence , Here It will be 1( int)(* q- * p)); : is the diff between the values in int, {here it will be 5}Hence , it will be 1 , 5 [...]

The DFA over {a,b} such that the number of a's is divisible by 3 and the number of b's is divisibleby 2 will be Total Number of States will be = 6 NOTE : The number of states in DFA such that number of a's divisible by m, number of b's divisible by n then total number of states will be mn.Similarly, The number of states in DFA such that number of a's divisible by m, number of b's divisible by n & number of c's divisible by r then total number of states will be mnr.  [...]

We can remove the state r as it is dead state, hence we end up with remaining 3 states The transtions (p,1) and (q,1)can be converted to (11)* as self loop on state p after elimination of state q So, we end up wth two states s and p, now on p the self loop is (0+11)* So the regular expression is 1(0+11)*, which is option C [...]

The answer should be C) Bina. Here is a stepwise solution ->  1. China is sitting 3rd to the left of Dipa.(both facing inside) 2. Elina is not sitting adjacent to either of China or Dipa => only one position is left for her 3. One sitting between Dipa and Fiona will be facing outside => Dipa and Fiona need to have one empty place between them, this fixes the position of Fiona. 4. Gita sits 3rd to the right of Aina => it is not possible if we consider that Aina is facing inside(no empty place with a gap [...]

nth group starts with $(n-1)$$^{2}$ $+$ $1$ and ends with $n$$^{2}$ and every group consists $2n-1$ numbers $15th$ group starts with 196 and ends with $225$ $sum$ = $\frac{No of terms}{2}$ * $[first$ $term$+$last$ $term]$ = $\frac{29}{2} * [(196+1) + 225]$ = $6119$ [...]

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