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11 Jul 2015, 22:48
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
49% (02:16) correct
51%
(01:59)
wrong
based on 247
sessions
History
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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
(A) 40
(B) 45
(C) 48
(D) 50
(E) 60
11 Jul 2015, 23:58
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A2A2
what you have to check is whether the ratio given, that is ((the option)-(100-option)) when simplified is either equal (1:1) or two consecutive values(1:2 or 2:3 and so on)..
Reason for this is that there are only three possiblities of numbers of odd numbers in consecutive integers
1) equal to number of even numbers... 1:1
2)one more than number of even numbers....80:79 or 2:1 and so on
3)one less than number of even numbers...79:80 or 2:3 and so on
(A) 40:60=2:3 possible
(B) 45:55=9:11not possible
(C) 48:52=12:13 possible
(D) 50:50=1:1 possible
(E) 60:40=3:2 possible
ans B
General Discussion
12 Jul 2015, 00:03
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A2A2
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 POSSIBLE
Option 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
