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05 Aug 2023, 00:35
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B
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Difficulty:
75%
(hard)
Question Stats:
63% (02:28) correct
37%
(02:29)
wrong
based on 100
sessions
History
Date
Time
Result
Not Attempted Yet
In an election four parties A, B, C and D contested for a post. 40% of the votes polled are for parties A and B combined, 30% of the votes polled are for parties B and C combined. Which party won the election (which party had the maximum number of votes polled for it)?
(1) C and D together have a share of 60% of the total votes polled.
(2) A and C together have a share of 40% of total votes polled.
(1) C and D together have a share of 60% of the total votes polled.
(2) A and C together have a share of 40% of total votes polled.
05 Aug 2023, 10:05
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let total be 100
a+b=40
b+c=30
#1
c+d=60
subtract
a+b=40
b+c=30
a-c=10
c+d=60
a+d=70
insufficient
#2
A and C together have a share of 40% of total votes polled
we know
a-c=10
a+c=40
2a=50
a=25
other values will be
c=15
b=15
d=45
sufficient
option B
a+b=40
b+c=30
#1
c+d=60
subtract
a+b=40
b+c=30
a-c=10
c+d=60
a+d=70
insufficient
#2
A and C together have a share of 40% of total votes polled
we know
a-c=10
a+c=40
2a=50
a=25
other values will be
c=15
b=15
d=45
sufficient
option B
Adityachopra1
06 Aug 2023, 02:09
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Given: In an election four parties A, B, C and D contested for a post. 40% of the votes polled are for parties A and B combined, 30% of the votes polled are for parties B and C combined.
Asked: Which party won the election (which party had the maximum number of votes polled for it)?
Let the votes for parties A, B, C & D be Va, Vb, Vc & Vd respectively
Va + Vb + Vc + Vd =100%
Va + Vb = 40%
Vc + Vd = 100% - 40% = 60%
Va + Vb = 40%
Vb + Vc = 30%
Va - Vc = 10%
Party A got more votes than party C.
Vc + Vd = 60%
Vb + Vc = 30%
Vd - Vb = 30%
Party D got more votes than party B.
(1) C and D together have a share of 60% of the total votes polled.
The information is already derived above and is not sufficient
NOT SUFFICIENT
(2) A and C together have a share of 40% of total votes polled.
Va + Vc = 40%
Va - Vc = 10%
Va = 25%
Vc = 15%
Vd = 45%
Vb = 15%
Party D is the winner with 45% votes
SUFFICIENT
IMO B
Asked: Which party won the election (which party had the maximum number of votes polled for it)?
Let the votes for parties A, B, C & D be Va, Vb, Vc & Vd respectively
Va + Vb + Vc + Vd =100%
Va + Vb = 40%
Vc + Vd = 100% - 40% = 60%
Va + Vb = 40%
Vb + Vc = 30%
Va - Vc = 10%
Party A got more votes than party C.
Vc + Vd = 60%
Vb + Vc = 30%
Vd - Vb = 30%
Party D got more votes than party B.
(1) C and D together have a share of 60% of the total votes polled.
The information is already derived above and is not sufficient
NOT SUFFICIENT
(2) A and C together have a share of 40% of total votes polled.
Va + Vc = 40%
Va - Vc = 10%
Va = 25%
Vc = 15%
Vd = 45%
Vb = 15%
Party D is the winner with 45% votes
SUFFICIENT
IMO B
