BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

divided by 33

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
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

divided by 33

by sanju09 » Tue Feb 24, 2009 6:04 am
What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?

A. 3
B. 27
C. 30
D. 21
E. 18
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
Top
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 319
Joined: Wed Feb 04, 2009 10:32 am
Location: Delhi
Thanked: 84 times
Followed by:9 members

Re: divided by 33

by sureshbala » Tue Feb 24, 2009 6:38 am
sanju09 wrote:What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?

A. 3
B. 27
C. 30
D. 21
E. 18
Folks, we know that 33 = 11x3.

Clearly the given number is divisible by 3.

Also the remainder when 1044 is divided by 11 is -1 (take -ve remainder to make speed up ur calculation.)

So the remainder when 1044 * 1047 * 1050 *1053 is divided by 11 = -1 * 2 * 5 * 8 = -1 *10*8 (here again instead of 10 you can take the remainder as -1).

So we can conclude that the remainder is 8.

Now your option should satisfy both the conditions namely, it must be exactly divisible by 3 and it must leave a remainder 8 when divided by 11.

From the given choices it is 30
Top
Junior | Next Rank: 30 Posts
Posts: 29
Joined: Sun Feb 08, 2009 11:29 am
Thanked: 3 times

Re: divided by 33

by ven4gmat » Tue Feb 24, 2009 7:02 am
sureshbala wrote:
sanju09 wrote:What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?

A. 3
B. 27
C. 30
D. 21
E. 18
Folks, we know that 33 = 11x3.

Clearly the given number is divisible by 3.

Also the remainder when 1044 is divided by 11 is -1 (take -ve remainder to make speed up ur calculation.)

So the remainder when 1044 * 1047 * 1050 *1053 is divided by 11 = -1 * 2 * 5 * 8 = -1 *10*8 (here again instead of 10 you can take the remainder as -1).

So we can conclude that the remainder is 8.

Now your option should satisfy both the conditions namely, it must be exactly divisible by 3 and it must leave a remainder 8 when divided by 11.

From the given choices it is 30
Dear sureshbala, I still remember one of your posts where you have considered -ve remainders and concluded the answer fast...

Believe me, I have solved this exactly the way in which you have done....So it's working for me man....keep rocking
Top
Post new topic Post Reply
• Page 1 of 1