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EgmatQuantExpert
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If b is a prime number, what percent of 3 is b? 22 Jan 2017, 02:04
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25% (medium)

Question Stats:

78% (02:06) correct 22% (02:00) wrong based on 186 sessions

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If b is a prime number, what percent of 3 is b?

(1) b is more than 200% greater than 2 and less than 40% of 32

(2) \(\frac{3b}{7}\)  is 40% less than 5


    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.


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B
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If b is a prime number, what percent of 3 is b? Updated on: 29 Jan 2017, 13:21
Originally posted by EgmatQuantExpert on 22 Jan 2017, 02:04.
Last edited by EgmatQuantExpert on 29 Jan 2017, 13:21, edited 1 time in total.
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The official solution has been posted. Looking forward to a healthy discussion..:)
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If b is a prime number, what percent of 3 is b? 22 Jan 2017, 12:11
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EgmatQuantExpert
If b is a prime number, what percent of 3 is b?

(1) b is more than 200% greater than 2 and less than 40% of 32

(2) \(\frac{3b}{7}\)  is 40% less than 5


    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.


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Saquib
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(1)) 200% greater than 2 = 2*(1+(200/100))= 6
less than 40% of 32 =40*32/100= 12.8
we can write
6<b<12
b can be 7 or 11........Not suff

(2) 40% less than 5
or b<3
only prime <3 is 2
suff

Ans B
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If b is a prime number, what percent of 3 is b? 29 Jan 2017, 13:13
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Hey,


PFB the official solution. :)


Steps 1 & 2: Understand Question and Draw Inferences

Given: Prime number \(b\)

To find: What percent of \(3\) is \(b\)?

Let \(b\) be \(x\) percent of \(3\)
So, we can write: \(b = \frac{x}{100} * 3\)
So, \(x = \frac{b}{3} * 100\)

Therefore, in order to find the value of \(x\), we need to find the value of \(b\)

Step 3: Analyze Statement 1 independently

Statement 1 says that ‘\(b\) is more than \(200\)% greater than \(2\) and less than \(40\)% of \(32\)’

    • (The number that is \(200\)% greater than \(2) = 2 + 200\)% of \(2 = 6\)
      o So, \(b > 6\)
    • (The number that is \(40\)% of \(32) = 40/100 * 32\)
      o So, \(b < 12.8\)
    • Therefore, as per Statement 1,\(b\) is a prime number that lies between \(6\) and \(12.8\), exclusive
    • So, possible values of b = {7, 11}
    • Since Statement 1 doesn’t lead to a unique value of b, it is not sufficient.

Step 4: Analyze Statement 2 independently

Statement 2 says that \(\frac{3b}{7}\) is \(40\)% less than \(5\)
    • \(\frac{3b}{7} = 5 - \frac{40}{100} * 5\)
    • \(\frac{3b}{7} = 5*\frac{60}{100}\)
    • So, \(b = 7\)
    • Since Statement 2 leads to a unique value of b, it is sufficient to answer the question


Answer: Option B


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If b is a prime number, what percent of 3 is b? 18 Jun 2019, 11:45
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We need to find a precise value of b.

Statement 1 : 6<b<=12 . b can be 7 or 11. Not sufficient. Strike off A and D
Statement 2 : 3b/7=3 , b=7. Unique and sufficient value of b. Answer is B
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