39/50 is between ?

Question

\frac{39}{50}  is between ?

A. 0 and  \frac{22}{65}

B.  \frac{25}{61}  and  \frac{26}{59}

C.  \frac{28}{57}  and  \frac{31}{55}

D.  \frac{35}{51}  and  \frac{41}{45}

E.  \frac{43}{44}  and 1

rajatchopra1994 · Answer

Explanation:

39/50 = 78/100 = 0.78

Checking Options:

Option D.

35/51 = 70/102= 0.68
41/45 = 82/90= 0.91
so 0.78 is between this value only.

IMO-D

GMATinsight · Answer

\frac{39}{50} ≈ \frac{40}{50} ≈ 0.8

i.e. Options A, B, C and E are clearly out

Option A says between 0 and 0.3 approx
Option B says between 0.3 and 0.4 approx
Option C says between 0.4 and 0.7 approx
Option E says between 0.97 and 1 approx

Answer: Option D

sujoykrdatta · Answer

Required value = 39/50 = (39 * 2)/(50 * 2) = 78/100 = 0.78 i.e. 78% Thus, value of 39/50 is almost 80% (only 2% less than 80%) Let us look at the options: A: 22/65: 80% of 65 > 80% of 60 = 48 So, 39/50 is not between 0 and 22/65 - Incorrect B: 25/61: 80% of 61 > 80% of 60 = 48 >> 25 --- too far off - Incorrect C: 28/57: 80% of 57 > 80% of 50 = 40 >> 28 --- too far off - Incorrect D: 33/51: 80% of 51 < 80% of 50 = 40 > 33 => 39/50 is greater than 33/51 41/45: 80% of 45 = 36 < 41 => 39/50 is less than 41/45 ---- Hence, correct E: 43/44: 80% of 44 > 80% of 40 = 32 << 43 => 39/50 is less than 43/44 - Incorrect Answer D

DevangiK · Answer

Following the method of  Approximation 
39/50 = 0.78

So, the answer should give us the range for the question.
Checking with Option A) 0 and 22/65 = 0 to 0.33 (Thus this is not our answer)
Checking for option D) 35/51 and 41/45 = 0.68 to 0.91

Thus, option D is our answer

Hope it helps !

EgmatQuantExpert · Answer

Solution

To find  
 • The value of 39/50 lies in which option.

Approach and Working out  
 • 39/50 = 0.78
• So, 0.78 must lie in the range.

Option A:
 • 0 and 22/65 = less than 0.78
 o No

Option B:
 • 25/61 and 26/59 
• The value of both the fraction is close to 0.4
 o No

Option C:
 • 28/57 and 31/55
 o No

Option D:
 • 35/51≈ 0.7 and 41/45 ≈0.9
 o So, 0.78 lies in this range .
 
Hence, option D is the correct answer.

Correct Answer: Option D

sachinsavailable · Answer

The question becomes easier to solve if you multiply every thing by 2

viz: 39/50*2= 78/100

From the each answer choices multiply by 2 and the question seems easier.

Answer D by process of hit and trial.

ScottTargetTestPrep · Answer

39/50 is a little less than 40/50 = 4/5 = 0.8.

Let’s work backwards through the answer choices.

Choice E: We know that 43/44 is nearly 1. So E is out.

Choice D: Since 35/51 is a little less than 35/50 = 7/10 = 0.7 and since 41/45 is a little more than 40/45 = 8/9, we can safely say that 39/50 is between 35/51 and 41/45. Choice D is correct.

Answer: D

ZohraBanu · Answer

can we just check for the number that come in between like: numerator 39 come in-between 35 and 45
denominator 50 between 51-45 
looking at this criteria D seem best options
note: if we cant approach for the solution in this method, do let me know why?

39/50 is between ?

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