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16 Jan 2026, 09:13
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
49% (02:40) correct
51%
(02:42)
wrong
based on 63
sessions
History
Date
Time
Result
Not Attempted Yet
Larry is one of 9 product managers in a certain division of a pharmaceutical company, who have a total of 64 industry awards. If Larry has the same number of industry awards as 6 of the other managers, how many industry awards does Larry have?
(1) None of the product managers has more than twice as many industry awards as any other.
(2) Exactly one product manager has more industry awards than Larry.
(1) None of the product managers has more than twice as many industry awards as any other.
(2) Exactly one product manager has more industry awards than Larry.
16 Jan 2026, 22:31
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Solution:
Awards for Larry including the six other managers: 7x
Awards for the remaining to managers : a and b
Total: 7x+a+b
Statement 1:
For every pair of managers:
Larger number≤2×Smaller number
If Larry has 6:
64−7×6=22
Someone having 16 violates the rule (16 > 2 × 6 = 12)
So,
x=6 is invalid.
If Larry has 7:
64-7x7=15
This could work but we arent sure about it.
So insufficient
Statement 2:
Among the remaining 2 managers:
One has more than x
One has less than x
So,
let a>x and b<x
Try
x=8
7x=56⇒a+b=8
Invalid
Try
x=7
7x=49⇒a+b=15
Statement 2 alone is Insufficient.
Only x=7 satisfies both statements.
Both statements together are sufficient, but neither alone is sufficient.
Awards for Larry including the six other managers: 7x
Awards for the remaining to managers : a and b
Total: 7x+a+b
Statement 1:
For every pair of managers:
Larger number≤2×Smaller number
If Larry has 6:
64−7×6=22
Someone having 16 violates the rule (16 > 2 × 6 = 12)
So,
x=6 is invalid.
If Larry has 7:
64-7x7=15
This could work but we arent sure about it.
So insufficient
Statement 2:
Among the remaining 2 managers:
One has more than x
One has less than x
So,
let a>x and b<x
Try
x=8
7x=56⇒a+b=8
Invalid
Try
x=7
7x=49⇒a+b=15
Statement 2 alone is Insufficient.
Only x=7 satisfies both statements.
Both statements together are sufficient, but neither alone is sufficient.
16 Jan 2026, 23:40
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Answer is wrong wanna get it checked.
