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03 Feb 2021, 04:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
55% (02:38) correct
45%
(02:40)
wrong
based on 202
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A group of workers of Prasant Engineering Works was assigned a work of assembling 360 small transformers, in a certain number of days. By assembling 4 transformers more than what they were assigned to assemble every day, they finished the work 1 day earlier. For how many days did the groupwork?
(A) 8 days
(B) 9 days
(C) 10 days
(D) 11 days
(E) 12 days
(A) 8 days
(B) 9 days
(C) 10 days
(D) 11 days
(E) 12 days
03 Feb 2021, 11:55
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Let the assignment completed in x\(\) days
In 1 day, \(\frac{360}{x}+4 \) work is done and the work is completed before \(1\) day. Therefore,
\((\frac{360}{x}+4)(x-1)=360\)
\((360+4x)(x-1)=360x\)
\(360x+4x^2-360-4x=360x\)
\(4x^2-4x-90=0\)
\((x-10)(x+9)=0\)
\(x=10,-9\)
The group work for \(10-1=9\)
Ans B
In 1 day, \(\frac{360}{x}+4 \) work is done and the work is completed before \(1\) day. Therefore,
\((\frac{360}{x}+4)(x-1)=360\)
\((360+4x)(x-1)=360x\)
\(360x+4x^2-360-4x=360x\)
\(4x^2-4x-90=0\)
\((x-10)(x+9)=0\)
\(x=10,-9\)
The group work for \(10-1=9\)
Ans B
General Discussion
08 Apr 2021, 18:39
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This feels like an easy one to do trial and error with the answers:
A) 360/8 = 45 units per day
B) 360/9 = 40 units per day
C) 360/10 = 36 units per day
D) 360/11 = 32ish to 33ish units per day
E) 360/12 = 30 units per day
Notice the difference between B & C is 4 units per day, hence B must be the answer. Good strategy for plugging answers is to start with C, so if you were lucky enough to start with C and go up this took very little math.
A) 360/8 = 45 units per day
B) 360/9 = 40 units per day
C) 360/10 = 36 units per day
D) 360/11 = 32ish to 33ish units per day
E) 360/12 = 30 units per day
Notice the difference between B & C is 4 units per day, hence B must be the answer. Good strategy for plugging answers is to start with C, so if you were lucky enough to start with C and go up this took very little math.
