Is the product of the range and median of the set of 10

Question

Is the product of the range and median of the set of 10 distinct prime numbers even ?

1. Each element of the set is greater than 9.
2. The highest integer of the set is less than 100.

ramlala · Answer

Hi  Kaushik786

Please clarify the official answer.

I think, Statement B is also sufficient.

Median of 10 distinct prime numbers is always  even 
Range may be  even  or  odd  (subject to 2 is there or not)

Product of  even  and  even  or  odd  =  even

chetan2u 
Please help if any correction is required.

DongminShin · Answer

Median of 10 distinct prime numbers isn't always even.
For example median value of 37 and 41 will be 39, which is odd number.

chetan2u · Answer

So we are dealing with 10 distinct prime numbers. 
For a product to be even, at least one of them should be even. 
 Range : Difference between the largest and the smallest number in the set. If it contains 2, the range will be odd, otherwise no. 
 Median : The Center value of the middle two values. If the middle two numbers are consecutive primes, then we have median as prime, for example (11,13) ; (29,31).
But if the difference between the two middle terms is 4, then median is even. For example (37,41) or (79,83)

1. Each element of the set is greater than 9.
Prime number 2 is not in the set, so all odd primes are there. Difference between two odds is even. 
So product is even. 
Sufficient

2. The highest integer of the set is less than 100.
We can have different options. 
2,3,5,7,11,13,17,19,23,29.....range=27 and median =12...product =even
2,3,11,13,17,19,23,29,31.....range=29 and median =15....product =odd
Insufficient

A

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

Is the product of the range and median of the set of 10

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

Is the product of the range and median of the set of 10

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards