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12 Oct 2021, 06:15
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C
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Difficulty:
65%
(hard)
Question Stats:
56% (02:01) correct
44%
(02:33)
wrong
based on 96
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In a locality, for every person, who owns only a car, there are 3 people who own only a bike. The number of people who own both a car and a bike is half the number of people who either own only a car or only a bike. If the number of people who neither own a car nor a bike is equal to the number of people who own a bike, which of the following can be the total number of people in the locality?
A. 27
B. 40
C. 66
D. 105
E. None of the above
A. 27
B. 40
C. 66
D. 105
E. None of the above
12 Oct 2021, 07:37
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Only Bike = 3x
Only Car = x
Both Car and Bike = 4x/2 = 2x
Total Bike = 3x + 2x = 5x
Neither Car nor Bike = 5x
Total people = Only Bike + Only Car + Both Car and Bike + Neither Car nor Bike
= 3x + x + 2x + 5x = 11x
Only option that is a factor of 11 is 66. Hence IMHO Option C
Only Car = x
Both Car and Bike = 4x/2 = 2x
Total Bike = 3x + 2x = 5x
Neither Car nor Bike = 5x
Total people = Only Bike + Only Car + Both Car and Bike + Neither Car nor Bike
= 3x + x + 2x + 5x = 11x
Only option that is a factor of 11 is 66. Hence IMHO Option C
19 Oct 2021, 04:50
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c/b = 3/1 ==> c=3b
only Car = c
only Bike = b
car + bike = 1/2 (c+b)
none = b
Total = c+b+1/2(c+b)+b
==> 3b+b+2b+b = 7b
answer is multiple of 7 ==> 105.
only Car = c
only Bike = b
car + bike = 1/2 (c+b)
none = b
Total = c+b+1/2(c+b)+b
==> 3b+b+2b+b = 7b
answer is multiple of 7 ==> 105.
