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

 It is currently 13 Oct 2019, 20:30

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

x and y are integers less than 60 such that x is equal to the sum of t

Author Message
TAGS:

Hide Tags

Senior RC Moderator
Joined: 02 Nov 2016
Posts: 4055
GPA: 3.39
x and y are integers less than 60 such that x is equal to the sum of t  [#permalink]

Show Tags

10 Feb 2019, 05:14
00:00

Difficulty:

65% (hard)

Question Stats:

67% (02:55) correct 33% (02:40) wrong based on 42 sessions

HideShow timer Statistics

x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and y is a multiple of 17. Which of the following could be the value of x – y?

A. –19
B. –7
C. 0
D. 4
E. 9

_________________
Director
Joined: 09 Mar 2018
Posts: 997
Location: India
Re: x and y are integers less than 60 such that x is equal to the sum of t  [#permalink]

Show Tags

10 Feb 2019, 05:48
x and y are integers less than 60 such that x is equal to the sum of the squares of two distinct prime numbers, and y is a multiple of 17. Which of the following could be the value of x – y?

A. –19
B. –7
C. 0
D. 4
E. 9

KeyWord = y is a multiple of 17 => 0,17,34, 51

x is equal to the sum of the squares of two distinct prime numbers
4+9 = 13
4+25 = 29
4+49 = 53
9+25 = 34

34-34

C
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Senior Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 433
Re: x and y are integers less than 60 such that x is equal to the sum of t  [#permalink]

Show Tags

12 Mar 2019, 12:01
Stem: x,y = ints < 60, what is x-y?
x= 1st pn²+next pn², y=17Q

Plug in numbers...
y=17, 34, 51
Anything higher is >60
2 as first number:
4+9 = 13, 4+25 = 29, 4+49 = 53
3 as first number:
9+25 = 34
9+49 = 58
Anything higher is >60

34 should immediately pop out as being a possible value of both x and y, thus x-y could = 0, C.
Re: x and y are integers less than 60 such that x is equal to the sum of t   [#permalink] 12 Mar 2019, 12:01
Display posts from previous: Sort by