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Updated on: 19 Jun 2019, 02:50
Originally posted by AnthonyUnique on 18 Jun 2019, 14:21.
Last edited by AnthonyUnique on 19 Jun 2019, 02:50, edited 2 times in total.
Last edited by AnthonyUnique on 19 Jun 2019, 02:50, edited 2 times in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
35% (02:26) correct
65%
(02:02)
wrong
based on 99
sessions
History
Date
Time
Result
Not Attempted Yet
An unknown number of coins have been scattered on a table. What percent of them are tails?
I) By turning only four of the coins the number of heads and tails will be equal.
II) By removing 4 coins (2 heads and 2 tails) from the table, 30 percent of the coins will be heads.
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D) EACH statement ALONE is sufficient to answer the question asked.
E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
I) By turning only four of the coins the number of heads and tails will be equal.
II) By removing 4 coins (2 heads and 2 tails) from the table, 30 percent of the coins will be heads.
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D) EACH statement ALONE is sufficient to answer the question asked.
E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
18 Jun 2019, 15:51
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AnthonyUnique
From statement (1)
after turning 4 coins, T = H.
lets say 8 coins. if after turning we have (HHHH,TTTT),
so before turning they may be (HHHT,HHHT), or (HHTT,HHTT)
so T% could be 25% (2/8) or 50% (4/8) --> insufficient.
actually, (1) give no info at all except that the coins are \(≥ 4\)
From statement (2)
\(\frac{H-2}{{T-2 + H-2}} = \frac{3}{10}\) ----------> \(7H = 3T + 8\) ----------> \(T = \frac{{7H-8}}{3}\)
(H,T) pair can be (5,9) or (8,16) or ...
so T% could be 64% (9/14) or 66% (16/24) --> insufficient
combining (1) and (2) has no use so E
18 Jun 2019, 23:55
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Mahmoudfawzy83
Statement 2 looks sufficient to me..
They say by removing 4 coins we have a 30-70 split
Then we, without solving further, can find the percentage..
I'm just not sure how Statement 1 is sufficient, as the OA is given to be D
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