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KarishmaB Bunuel GMATNinja this question took me more than 4 minutes to complete, by plugging in values. Is there a faster way you can suggest to go about this question?­
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Sajjad1994

The algorithm represented in the flow chart is designed to produce a value for r based on an input value of x.

For each statement, select the option from the drop-down menu that completes the statement as accurately as possible according to the information provided.

1. is the smallest integer value for x that would result in a final value of 2 for d.

2. The final value of r when 15 is input for x is the final value for r when 55 is input for x.



Attachment:
12.jpg
­
You need to put in a minute to understand what the algorithm is doing. 
x is the input. 
y is a given value which reduces by 10 in every iteration
d counts the number of iterations
r is the resultant value. 


1. ____ is the smallest integer value for x that would result in a final value of 2 for d.


If d = 2, it means 1 extra iteration takes place which means to begin with x <= y but when you double x and decrease y by 10, x > y.
Since y is 100, it will become 90 and hence doubled x must be 92 at least (no decimal value of x is present in available drop down options).
Hence x must be 46.

ANSWER: 46

2. The final value of r when 15 is input for x is ___ the final value for r when 55 is input for x.

When 15 is input, x < y so 
1st extra iteration (d = 2): x becomes 30 and y = 90
2nd: (d = 3) x becomes 60, y = 80
3rd: (d = 4) x becomes 120, y = 70 (Now x > y)
r = x - y = 50
Since d > 3, r = 25


When 55 is input, x < y so 
1st extra iteration (d = 2) - x becomes 110 and y = 90 (Now x > y)
r = 110 - 90 = 20
Since d < 3, r = 20

ANSWER: greater than
 
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kop18
We just need the value of d to be 2 right? So why is 46 the answer? D=2 at 45 and 46. 45 is the smallest integer and hence, the answer should be 45.
­Hi kop18

If we intorduce 45 as value of X, the condition in flow chart stops at x>y as both x & y becomes 90

so going with 46 as value of X, continues the algorithm with with d value as 2­

"Final values" are values after the completion of entire algorithm
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