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Originally posted by Sajjad1994 on 30 Apr 2021, 08:30.
Last edited by BottomJee on 15 Nov 2023, 07:40, edited 2 times in total.
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Dropdown 1: 46
Dropdown 2: greater than
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Difficulty:
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Question Stats:
53%
(03:28)
correct 47%
(03:25)
wrong
based on 580
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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.
1. According to the question, initially the value of d is 1 and the value of y is 100. Now we have to find the smallest integer possible for x that will have the value of d as 2. Now, firstly imagine value of x as half of y, x=50. As we put it in the process we will get d as 2 and that sums up that x=50 is possible, so we will have to try a smaller value. Lets take 40. After applying it in the process we can see that d does not equal to 2, hence we take 45 as x. It does fulfill conditions of the question.
To check for a lower value put 44 in the process and we can see that it does not fulfill the condition of d as 2. Hence 45 must be the smallest possible integer value for x when d will be 2.
(note: I have done this question thorugh trial and error method, because I find the other methods to be lengthy.)
2. Here, we have to compare the final values of r, when x is 15 and 55. When xwill be 15, initial r will be 50. The value of d will be 4 hence we will have to divide the initial r with 2. Hence the final r will be 25. when x will be 55, initial r will be 20. the value of d will be 2 hence we don't have to divide it with anything and our initial r is our final r. Question asks about the difference of the r with respect to different r values. r when x is 15 - r when x is 55 = 25-20 = 5
KarishmaBBunuelGMATNinja 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?
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.
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
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