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21 May 2020, 03:47
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
83% (01:51) correct
17%
(01:31)
wrong
based on 58
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A company X has offices in four locations – A, B, C and D. The figure above represents a circle graph of X’s profits from each of the four locations in April 2010. One-thirds of companies profits in were registered from B while one-fourths of its profits were registered from A. Were the profits from the location C of the company more than the profits from location D of the company?
(1) x > y
(2) The sum of the profits from A and D combined were larger than the sum of the profits from B and C combined.
Attachment:
1.png [ 19.2 KiB | Viewed 2733 times ]
yashikaaggarwal
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Joined: 19 Jan 2020
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21 May 2020, 03:56
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IMO should Be D
Let the profit generated be 360°
B has 1/3 proportion so B=360°*1/3=120
A has 1/4 proportion so A=360°*1/4=80
We need to know whether C>D or not. That means 360-120-80=200°
C proportion is bigger among 200
Given C=y and D=X
Statement 1: X>Y
D>C
Answer is definitely No
(Sufficient)
Statement 2: A+D>B+C
80+D>120+C
D>40+C
D is Bigger.
So again answer is definitely No.(sufficient)
Posted from my mobile device
Let the profit generated be 360°
B has 1/3 proportion so B=360°*1/3=120
A has 1/4 proportion so A=360°*1/4=80
We need to know whether C>D or not. That means 360-120-80=200°
C proportion is bigger among 200
Given C=y and D=X
Statement 1: X>Y
D>C
Answer is definitely No
(Sufficient)
Statement 2: A+D>B+C
80+D>120+C
D>40+C
D is Bigger.
So again answer is definitely No.(sufficient)
Posted from my mobile device
Shubhi09
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21 May 2020, 04:03
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Let x be total profit
Statement 1-
A=1/4 x, B=1/3x
So C+D can be calculated
Given X>Y, larger angle, larger area it aweeps in circle
So A is sufficient
Statement B
Given B+C>A+D
Since B>A and B= 1/12 +A,
Put this in given statement, you’ll get
1/3+ C> 1/4 +D
Sufficient
Answer is D
Posted from my mobile device
Statement 1-
A=1/4 x, B=1/3x
So C+D can be calculated
Given X>Y, larger angle, larger area it aweeps in circle
So A is sufficient
Statement B
Given B+C>A+D
Since B>A and B= 1/12 +A,
Put this in given statement, you’ll get
1/3+ C> 1/4 +D
Sufficient
Answer is D
Posted from my mobile device
21 May 2020, 04:12
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Statement 1 is immediately sufficient, because the angle at the center of the graph is directly proportional to the profits.
Statement 2 tells us that D + 1/4 > C + 1/3, where D and C are the fractions of profits from each division. So D > C + 1/12, and if D is greater than C + 1/12 then D > C must be true, so Statement 2 is also sufficient and the answer is D.
Alternatively for Statement 2, you can notice that A, B, C and D combined account for all of the company profits, so if A and D combined produced more profit than B and C combined, then A and D together account for more than 1/2 the profit, and B and C combined account for less than half. Since A accounts for 1/4 of the profit, D must then account for more than 1/4 of the profit, and since B accounts for 1/3 of the profit, C must account for less than 1/6 of the profit, and D > C must be true.
Statement 2 tells us that D + 1/4 > C + 1/3, where D and C are the fractions of profits from each division. So D > C + 1/12, and if D is greater than C + 1/12 then D > C must be true, so Statement 2 is also sufficient and the answer is D.
Alternatively for Statement 2, you can notice that A, B, C and D combined account for all of the company profits, so if A and D combined produced more profit than B and C combined, then A and D together account for more than 1/2 the profit, and B and C combined account for less than half. Since A accounts for 1/4 of the profit, D must then account for more than 1/4 of the profit, and since B accounts for 1/3 of the profit, C must account for less than 1/6 of the profit, and D > C must be true.
