CANNOT yield an integer

This topic has expert replies
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

CANNOT yield an integer

by sanju09 » Tue Mar 31, 2009 5:37 am
Which of the following CANNOT yield an integer when divided by 10?

I. Product of two distinct primes.
II. An integer less than 10.
III. Sum of three consecutive integers.
IV. An odd integer.

A. I and IV only
B. II and IV only
C. II, III, and IV only
D. All I through IV
E. IV only
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

Master | Next Rank: 500 Posts
Posts: 418
Joined: Wed Jun 11, 2008 5:29 am
Thanked: 65 times

by bluementor » Tue Mar 31, 2009 7:19 am
I. Product of two distinct primes.
The product of 2 and 5 can be divisible by 10. OUT.

II. An integer less than 10.
0 is divisible by 10. OUT

III. Sum of three consecutive integers.
9+10+11 is divisible by 10. OUT

IV. An odd integer.
An odd integer is never divisible by 10. IN

Choose E. Am I right?

-BM-

Master | Next Rank: 500 Posts
Posts: 221
Joined: Wed Jan 21, 2009 10:33 am
Thanked: 12 times
Followed by:1 members

by krisraam » Tue Mar 31, 2009 5:28 pm
between B and E.

Thanks
raama

Legendary Member
Posts: 621
Joined: Wed Apr 09, 2008 7:13 pm
Thanked: 33 times
Followed by:4 members

by vittalgmat » Tue Mar 31, 2009 11:51 pm
krisraam wrote:between B and E.

Thanks
raama
Nowhere it says that the integers are +ve only.
So B is out. Only E.

-10 is less than 10. -10/10 = -1 an integer.


Remember !!!!!
Integer = +ve and -ve integers and 0.


Master | Next Rank: 500 Posts
Posts: 106
Joined: Wed Feb 04, 2009 6:09 am
Location: Louisville, KY
Thanked: 8 times

by marcusking » Wed Apr 01, 2009 5:11 am
bluementor wrote:I. Product of two distinct primes.
The product of 2 and 5 can be divisible by 10. OUT.

II. An integer less than 10.
0 is divisible by 10. OUT

III. Sum of three consecutive integers.
9+10+11 is divisible by 10. OUT

IV. An odd integer.
An odd integer is never divisible by 10. IN

Choose E. Am I right?

-BM-
Well done, I arrived at the answer the same way. E.