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Difficulty:
25%
(medium)
Question Stats:
88% (01:31) correct
12%
(01:03)
wrong
based on 65
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In 2005, did Company A have more than twice the number of employees as did Company B?
(1) In 2005, Company A had 11,500 more employees than did Company B.
(2) In 2005, the 3,000 employees with advanced degrees at Company A made up 12.5 percent of that company’s total number employees, and the 2,500 employees with advanced degrees at Company B made up 20 percent of that company’s total number of employees.
(1) In 2005, Company A had 11,500 more employees than did Company B.
(2) In 2005, the 3,000 employees with advanced degrees at Company A made up 12.5 percent of that company’s total number employees, and the 2,500 employees with advanced degrees at Company B made up 20 percent of that company’s total number of employees.
22 Oct 2025, 01:22
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Is the number of employees at Company A more than twice the number for Company B in 2005?
Let A = number of employees at Company A
Let B = number of employees at Company B
Is A > 2B ?
Statement 1
Company A had 11,500 more employees than Company B.
So, A = B + 11,500
Without knowing the value of B , we can't definitively answer the question from Statement 1 alone.
Statement 2
Company A: 3,000 employees with advanced degrees = 12.5% of total employees
So, 3,000 = 0.125A ⇒ A = 24,000
Company B: 2,500 employees with advanced degrees = 20% of total employees
So, 2,500 = 0.20B ⇒ B = 12,500
Now, 2B = 25,000
So, Company A did not have more than twice the number of employees as Company B in 2005
Hence, Statement 2 alone is sufficient.
Let A = number of employees at Company A
Let B = number of employees at Company B
Is A > 2B ?
Statement 1
Company A had 11,500 more employees than Company B.
So, A = B + 11,500
Without knowing the value of B , we can't definitively answer the question from Statement 1 alone.
Statement 2
Company A: 3,000 employees with advanced degrees = 12.5% of total employees
So, 3,000 = 0.125A ⇒ A = 24,000
Company B: 2,500 employees with advanced degrees = 20% of total employees
So, 2,500 = 0.20B ⇒ B = 12,500
Now, 2B = 25,000
So, Company A did not have more than twice the number of employees as Company B in 2005
Hence, Statement 2 alone is sufficient.
Answer: B) Statement (2) alone is sufficient
To find: is A > 2B true?
Let number of employees in company A be equal to A and number of employees in company B equal to B
Statement 1:
A = B+ 11,500
This does not conclusively tell us if A is double of B or not. It could be both. Therefore Statement 1 is insufficient
Statement 2:
12.5% of A = 3000
A = (3000*100)/12.5 = 24,000
This has given us a definitive value of employees in company A
Similarly, we can find a definitive value of employees in company B and then see if A > 2B holds true or not
Statement 2 alone is sufficient
To find: is A > 2B true?
Let number of employees in company A be equal to A and number of employees in company B equal to B
Statement 1:
A = B+ 11,500
This does not conclusively tell us if A is double of B or not. It could be both. Therefore Statement 1 is insufficient
Statement 2:
12.5% of A = 3000
A = (3000*100)/12.5 = 24,000
This has given us a definitive value of employees in company A
Similarly, we can find a definitive value of employees in company B and then see if A > 2B holds true or not
Statement 2 alone is sufficient
