# had some doubts..<thought of="of" sharing="sharing" it="it" with="with" you="you">!!!</thought>

1.> A and B play a game of Dingo in which each player in his turn has to choose a positive integer that is less than the previous number but at least half the previous number. The player who chooses 1, loses and the game ends there. A starts by …

1.>
A and B play a game of Dingo in which each player in his turn has to choose a positive integer that is less than the previous number but at least half the previous number. The player who chooses 1, loses and the game ends there. A starts by choosing 2021 and after that both the players (A & B) continue to play with the best strategy. Which integer should B choose immediately after A has chosen 2021, to ensure his own victory?
a 1025
b 1011
c 2049
d 1535
e 1873

2.>
The equation 4x Ay = B has a number of integral solutions. If HCF(A,4) = 1 and the number of solutions (x,y) for 0
a 3
b 2
c 1
d 5
e None of these

pls use the existing official quant thread