CANNOT yield an integer

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

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

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Source: Beat The GMAT — Problem Solving | Tue Mar 31, 2009 5:37 am

bluementor: 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-

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krisraam: Master | Next Rank: 500 Posts; Posts: 221; Joined: Wed Jan 21, 2009 10:33 amFollowed by: 1 member; Thanked: 12 times

by krisraam » Tue Mar 31, 2009 5:28 pm

between B and E.

Thanks
raama

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vittalgmat: Legendary Member; Posts: 621; Joined: Wed Apr 09, 2008 7:13 pmFollowed by: 4 members; Thanked: 33 times

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.

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marcusking: 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.

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