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CAT 2022 Slot 2 Paper
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© examsnet.com
Question : 56
Total: 66
In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received30% of the casted votes while the other three candidates received the remaining casted votes in the proportion
1
:
2
:
3
.
If thewinner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registeredvoters was
50240
40192
60288
62800
Validate
Solution:
Let the number of registered votes be
100
x
The number of votes casted
=
80
x
Votes received by one of the candidates
=
30
100
×
80
x
=
24
x
Remaining votes
=
80
x
−
24
x
=
56
x
Votes received by other three candidates is
56
x
6
,
2
×
56
x
6
,
3
×
56
x
6
It is given,
28
x
−
24
x
=
2512
4
x
=
2512
x
=
628
The number of registered votes
=
100
x
=
62800
The answer is option D.
© examsnet.com
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