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11 Jul 2015, 22:48
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B
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Difficulty:
75%
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Question Stats:
48% (02:05) correct
52%
(01:53)
wrong
based on 138
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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
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
what you have to check is if the (answer given: 100-answer given) is either equal or two consecutive values..
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
2)one more than number of even numbers
3)one more than number of even numbers
(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
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
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
