If x is an odd integer, in which of the following equations must y be an even integer? I. xy = 5 II. x + 2y = 11 III. 2x + y = 12
A. Only I
B. Only II
C. Only III
D. both II and III
E. all of these
Explanation: i. xy = 5 শুধু Odd x Odd = Odd হয়, So y এখানে odd ii. x + 2y = 11 এখানে x odd, so 11-x even হবে। so 2y is even. কিন্তু y odd/even যেকোনটাই হতে পারে iii. 2x + y = 12 এখানে y = 12 - 2x x is odd, but 2x is even. So, 12-2x even. তার মানে y even.
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