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Bunuel
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In the recently concluded referendum in New York, regarding calling ba 08 Jan 2021, 08:14
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52% (02:40) correct 48% (02:53) wrong based on 122 sessions

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In the recently concluded referendum in New York, regarding calling back US troops from Iraq, 600 people voted on a referendum, but after some discussion the opponents increased by 150%. The motion was then rejected by a majority two times as great as that by, which it was formerly passed. How many people voted against the initial referendum?

A. 500
B. 400
C. 350
D. 300
E. 200
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E
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In the recently concluded referendum in New York, regarding calling ba Updated on: 14 Jan 2021, 18:12
Originally posted by stne on 14 Jan 2021, 11:16.
Last edited by stne on 14 Jan 2021, 18:12, edited 1 time in total.
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Bunuel
In the recently concluded referendum in New York, regarding calling back US troops from Iraq, 600 people voted on a referendum, but after some discussion the opponents increased by 150%. The motion was then rejected by a majority two times as great as that by, which it was formerly passed. How many people voted against the initial referendum?

A. 500
B. 400
C. 350
D. 300
E. 200
Show more

A. If 500 people were opponents initially then later opponents become 2.5*500=1250 Since 1250 votes are not possible as there are only 600 people. So A cannot be the answer

B. Similarly if 400 were opponents initially , the referendum itself couldn't have passed, as 400 opponents would be in majority and only 200 supporters. Not to mention 2.5 *400=1000, which also is not possible.

C. Referendum couldn't have passed in the first place if ratio of opponents : supporters = 350: 250.
For the referendum to pass , supporters need to be in Majority.

D. Again referendum couldn't have passed initially if ratio of opponents : supporters = 300: 300. Supporters need to be in majority for it to pass.

E. This is the only option possible.

Ans- E

Hope it helps.
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In the recently concluded referendum in New York, regarding calling ba 14 Jan 2021, 17:50
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stne
Bunuel
In the recently concluded referendum in New York, regarding calling back US troops from Iraq, 600 people voted on a referendum, but after some discussion the opponents increased by 150%. The motion was then rejected by a majority two times as great as that by, which it was formerly passed. How many people voted against the initial referendum?

A. 500
B. 400
C. 350
D. 300
E. 200

A. If 500 people were opponents initially then later opponents become 1.5*500=750 Since 750 votes are not possible as there are only 600 people. So A cannot be the answer

B. Similarly if 400 were opponents initially , the referendum itself couldn't have passed, as 400 opponents would be in majority and only 200 supporters. Not to mention 1.5 *400=600 , which also is not possible.

C. Referendum couldn't have passed in the first place if ratio of opponents : supporters = 350: 250.
For the referendum to pass , supporters need to be in Majority.

D. Again referendum couldn't have passed initially if ratio of opponents : supporters = 300: 300. Supporters need to be in majority for it to pass.

E. This is the only option possible.

Ans- E

Hope it helps.
Show more

Pretty straight forward reasoning. However I just wanted to point out that increasing a value by 150% is actually multiplying by 2.5 since a 100% increase is multiplying the value by 2.
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In the recently concluded referendum in New York, regarding calling ba 14 Jan 2021, 18:14
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arsenelaunois
stne
Bunuel
In the recently concluded referendum in New York, regarding calling back US troops from Iraq, 600 people voted on a referendum, but after some discussion the opponents increased by 150%. The motion was then rejected by a majority two times as great as that by, which it was formerly passed. How many people voted against the initial referendum?

A. 500
B. 400
C. 350
D. 300
E. 200

A. If 500 people were opponents initially then later opponents become 1.5*500=750 Since 750 votes are not possible as there are only 600 people. So A cannot be the answer

B. Similarly if 400 were opponents initially , the referendum itself couldn't have passed, as 400 opponents would be in majority and only 200 supporters. Not to mention 1.5 *400=600 , which also is not possible.

C. Referendum couldn't have passed in the first place if ratio of opponents : supporters = 350: 250.
For the referendum to pass , supporters need to be in Majority.

D. Again referendum couldn't have passed initially if ratio of opponents : supporters = 300: 300. Supporters need to be in majority for it to pass.

E. This is the only option possible.

Ans- E

Hope it helps.

Pretty straight forward reasoning. However I just wanted to point out that increasing a value by 150% is actually multiplying by 2.5 since a 100% increase is multiplying the value by 2.
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HI arsenelaunois,

You are correct, edited the same.

Also I would like to take this opportunity to congratulate you in your first post. May all your dreams and aspirations come true.
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In the recently concluded referendum in New York, regarding calling ba 19 Jan 2021, 08:49
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Bunuel
In the recently concluded referendum in New York, regarding calling back US troops from Iraq, 600 people voted on a referendum, but after some discussion the opponents increased by 150%. The motion was then rejected by a majority two times as great as that by, which it was formerly passed. How many people voted against the initial referendum?

A. 500
B. 400
C. 350
D. 300
E. 200
Show more
Solution:

Let the number of people who voted against the initial referendum be x. Thus, 600 - x people voted for the the initial referendum.

Since the number of opponents increased by 150% in the second referendum, the number of opponents is 2.5x and the number of supporters is 600 - 2.5x.

The initial referendum passed by (600 - x) - x = 600 - 2x votes, and the second referendum was rejected by 2.5x - (600 - 2.5x) = 5x - 600 votes. We are told that the latter is twice the former; thus:

5x - 600 = 2 * (600 - 2x)

5x - 600 = 1,200 - 4x

9x = 1,800

x = 200

Thus, x = 200 people voted against the initial referendum.

Answer: E
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In the recently concluded referendum in New York, regarding calling ba 18 Apr 2025, 03:10
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Total number of participants=600,

(let O=number of opponents initially and S=number of supporters initially),

because it was passed earlier,
O<=299
S>=301
we want O and by looking at the options, only O=200 can be the answer,

and let's keep that as our answer and verify that when 200 is increased by 150% then it becomes 500,
and S=T-O,
S=600-500=100
Now after the increase of 150%,
O=500
F=100.
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