GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Oct 2019, 04:08

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# What is the value of x ? (1) x is the sum of two distinct prime number

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58421
What is the value of x ? (1) x is the sum of two distinct prime number  [#permalink]

### Show Tags

05 Mar 2019, 05:17
00:00

Difficulty:

65% (hard)

Question Stats:

63% (02:44) correct 37% (01:54) wrong based on 42 sessions

### HideShow timer Statistics

What is the value of x ?

(1) x is the sum of two distinct prime numbers between 25 and 40.
(2) The sum of the distinct prime factors of x is 19.

_________________
Manager
Joined: 17 May 2018
Posts: 140
Location: India
Re: What is the value of x ? (1) x is the sum of two distinct prime number  [#permalink]

### Show Tags

05 Mar 2019, 05:31
1
Statement 1: 3 prime numbers are there 29, 31, 37, we cannot say which 2numbers are being added together. So, not sufficient
Statement 2: 2+17= 19
But we know 19 is the sum of distinct prime factors. So repetition of 2 or 7 may be happening which we are not aware of. So not sufficient
Statement 1 & 2 together:
31+37= 68= 2*2*17
Hence the value of x is 68
IMO C

Posted from my mobile device
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5026
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: What is the value of x ? (1) x is the sum of two distinct prime number  [#permalink]

### Show Tags

05 Mar 2019, 12:03
Bunuel wrote:
What is the value of x ?

(1) x is the sum of two distinct prime numbers between 25 and 40.
(2) The sum of the distinct prime factors of x is 19.

#1
x=29,31,37
not sufficeint
#2
x = 17+2
only possible
from 1& 2
31+37 = 68
68 = 2^2 * 17
IMO C
Manager
Joined: 16 Oct 2011
Posts: 107
GMAT 1: 570 Q39 V41
GMAT 2: 640 Q38 V31
GMAT 3: 650 Q42 V38
GMAT 4: 650 Q44 V36
GMAT 5: 570 Q31 V38
GPA: 3.75
Re: What is the value of x ? (1) x is the sum of two distinct prime number  [#permalink]

### Show Tags

05 Mar 2019, 15:24
Bunuel wrote:
What is the value of x ?

(1) x is the sum of two distinct prime numbers between 25 and 40.
(2) The sum of the distinct prime factors of x is 19.

(1) X is the sum of two distinct prime numbers between 25 and 40. So x is the sum of any two primes 29,31,37,39. This gives possible values of x to be 60,66,68, 70, and 76 NS

(2) The sum of the distinct prime factors of x is 19. x could be 77, or x could be 34, NS

(1) and (2) The only sum from (1) whose distinct prime factors sum to 19 is 68. Sufficient

Re: What is the value of x ? (1) x is the sum of two distinct prime number   [#permalink] 05 Mar 2019, 15:24
Display posts from previous: Sort by