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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