Of the following, which one is third greatest ?

Question

Of the following, which one is third greatest?

A)  2 \sqrt{2} - 1

B)  \sqrt{2} + 1

C)  1 - \sqrt{2}

D)  \sqrt{2} - 1

E)  \sqrt{2}

amanvermagmat · Accepted Answer

Approx value of √2 = 1.41. Substitute that to get

A) 2*1.41 - 1 = 1.82

B) 1.41 + 1= 2.41

C) 1 - 1.41 = -0.41

D) 1.41 - 1 = 0.41

E) 1.41

Clearly, the values in Ascending order (smallest to largest) are: C < D < E < A < B

So  third greatest is E

pushpitkc · Answer

The lowest of the values is Option C because  1- \sqrt{2}  is negative. 
The next lowest value is  \sqrt{2} - 1  which is definitely lower than  \sqrt{2} .
The third greatest/smallest value is  \sqrt{2}  (Option E)

JS1290 · Answer

Square root of 2 is 1.414. If we plug in this 1.414 in for root 2, we will get E as the third greatest!

EMPOWERgmatRichC · Answer

Hi All,

We're asked which of the 5 choices is '3rd greatest.' As 'scary' as this question might look, as long as you recognize that √2 is GREATER than 1, you can simply 'compare' answer choices (and avoid doing almost every calculation).

Answer A: 2√2 - 1 
Answer B: √2 + 1 
Answer C: 1 - √2 
Answer D: √2 - 1 
Answer E: √2

To start, we can look for patterns and similarities in the answer choices to make some easy deductions: 
Answer C is the only NEGATIVE answer, so it's "5th" 
Answer B > Answer E > Answer D (because of the "+1" and "-1"

Answer A can be rewritten as √2 + √2 -1. Since √2 is greater than 1, we know that (√2 - 1) would give us a positive result. Thus, Answer A > Answer E.

We now know that two of the Answers are GREATER than E (Answers A and B) and two of the answers are LESS than E (Answers C and D). Thus, the 3rd largest answer is....

Final Answer:  E

GMAT assassins aren't born, they're made, 
Rich

shashankism · Answer

There are total 5 entities. Third greatest is equivalent to thirst smallest. 
So, the smallest one here is  1 - \sqrt{2}  which is -ve.
2nd smallest one is  \sqrt{2} - 1  which lies between (0,1)
3rd smallest is  \sqrt{2}  which lies between (1,2)
4th smallest is  2 \sqrt{2} - 1  which also lies between (1,2) but is greater than  \sqrt{2}  
5th smallest is  \sqrt{2} + 1

ScottTargetTestPrep · Answer

Since √2 ≈ 1.4, we can analyze each answer choice:

A) 2 x 1.4 - 1 = 1.8

B) 1.4 + 1 = 2.4

C) 1 - 1.4 = -0.4

D) 1.4 - 1 = 0.4

E) 1.4

So the 3rd greatest is choice E, 1.4.

Answer: E

DodoDo89 · Answer

You can replace √2 by whatever you want.
For instance by 5.

goaltop30mba · Answer

No need to put in the value of root2

Just take root2 as 2 or any other number//

E it is

Posted from my mobile device

Kinshook · Answer

Asked: Of the following, which one is third greatest?

A)  2 \sqrt{2} - 1 
2*1.4 - 1 = 1.8

B)  \sqrt{2} + 1 
1.4 + 1 = 2.4

C)  1 - \sqrt{2} 
1 - 1.4 = - 0.4

D)  \sqrt{2} - 1 
1.4 - 1 = 0.4

E)  \sqrt{2} 
1.4

C(-0.4) < D(0.4) < E(1.4) < A(1.8) < B (2.4)

IMO E

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Of the following, which one is third greatest ?

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Of the following, which one is third greatest ?

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