A2A2 wrote:

Vasya wrote down several consecutive integers. Which of the following could not be the percentage of odd numbers among them?

(A) 40

(B) 45

(C) 48

(D) 50

(E) 60

Case 1: Either no. of odd Numbers will be equal to No. of Even Integers i.e. 50%

Case 2: Or no. of odd Numbers will be ONE Greater than No. of Even Integers i.e. (a)*100/(2a-1)

Case 3: Or no. of odd Numbers will be ONE Less than No. of Even Integers i.e. (a)*100/(2a+1)Option A: 40% = 40/100 = 2/5 i.e. (a)*100/(2a+1) i.e. POSSIBLE

Option B: 45% = 45/100 = 9/20 i.e. NOT POSSIBLEOption C: 48% = 48/100 = 12/25 i.e. (a)*100/(2a+1) i.e. POSSIBLE

Option D: 50% i.e. POSSIBLE

Option E: 40% = 60/100 = 3/5 i.e. (a)*100/(2a-1) i.e. POSSIBLE

Answer: option B

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