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

Redeem

Number Properties

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 304
Joined: Wed Jan 27, 2010 8:35 am
Location: International Space Station
Thanked: 11 times
Followed by:3 members

Number Properties

by Aman verma » Fri Feb 19, 2010 3:39 am
Q: Newton asked Einstein to assume any two values of three digits say P and Q then he told him to multiply P by R and Q by S where the values of R and S were given by Newton himself. Einstein exactly told Newton the value of
PR + QS = 888222. Then the value of P + Q is :

a)1001

b)1110

c)3108

d)1111

e)3181


Ans:[spoiler]b) 1110[/spoiler]
Top
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 304
Joined: Wed Jan 27, 2010 8:35 am
Location: International Space Station
Thanked: 11 times
Followed by:3 members

by Aman verma » Fri Feb 19, 2010 11:24 am
This is a Two-part question. The first part of this question is :what is the value of P/Q :

I . 1/4 II. 4 III. 6

a) Only I

b) Only II

c) Either II or III

d) Either I or II

e)Can't be determined
Top
Master | Next Rank: 500 Posts
Posts: 304
Joined: Wed Jan 27, 2010 8:35 am
Location: International Space Station
Thanked: 11 times
Followed by:3 members

by Aman verma » Fri Feb 19, 2010 1:52 pm
I made a wild guess and come with the answer 888+222 =1110 .Now either P is 888 and Q is 222 or P is 222 and Q is 888 . And since Einstein has given the value of PR + QS = 888222 then Newton has given R as either 1000 or 1 or S as either 1000 or 1.Since 888 X 1000 + 222 X 1 = 888222. But I may be completely wrong as this is a wild guess and alternate assumptions do exist. Can anyone suggest a proper solution to this problem
Top
User avatar
Legendary Member
Posts: 1022
Joined: Mon Jul 20, 2009 11:49 pm
Location: Gandhinagar
Thanked: 41 times
Followed by:2 members

by shashank.ism » Sat Feb 20, 2010 1:23 am
what is the original source of the question...
My Websites:
www.mba.webmaggu.com - India's social Network for MBA Aspirants

www.deal.webmaggu.com -India's online discount, coupon, free stuff informer.

www.dictionary.webmaggu.com - A compact free online dictionary with images.

Nothing is Impossible, even Impossible says I'm possible.
Top
Master | Next Rank: 500 Posts
Posts: 304
Joined: Wed Jan 27, 2010 8:35 am
Location: International Space Station
Thanked: 11 times
Followed by:3 members

by Aman verma » Sat Aug 13, 2011 5:45 am
A very old post of mine. Though it may not exactly be a GMAT question, but I would like to know the underlying logic behind the question. Also how to approach such questions.
800. Arjun's-Bird-Eye
Top
Legendary Member
Posts: 1448
Joined: Tue May 17, 2011 9:55 am
Location: India
Thanked: 375 times
Followed by:53 members

by Frankenstein » Sat Aug 13, 2011 6:16 am
Hi,
P+Q can have many values. I guess the questions says, P+Q can be which of the following:
888222 = 222*4001
P,Q are 3 digit numbers. So, P+Q will be less than 1999. This eliminates C,E.
The number 222 should give us a hint when we look at the answer choice 1110 (222*5)
As we can write 222*(4001) as 222*(4000+1) = 888*1000 + 222*1, we generally pick B.
This is a Two-part question. The first part of this question is :what is the value of P/Q :

I . 1/4 II. 4 III. 6

a) Only I

b) Only II

c) Either II or III

d) Either I or II

e)Can't be determined
Answer should be E because, all 3 values are possible for P/Q.
From the above discussion, it is clear that P/Q can take values 1/4 and 4.
222*(4001) = 222(3999+2) = 222*3*1333 + 222*2 = 666*1333 + 111*4
P/Q = 6 is also possible.
Hence, E
Last edited by Frankenstein on Sat Aug 13, 2011 6:28 am, edited 1 time in total.
Cheers!

Things are not what they appear to be... nor are they otherwise
Top
Legendary Member
Posts: 2789
Joined: Tue Jul 26, 2011 12:19 am
Location: Chennai, India
Thanked: 206 times
Followed by:43 members
GMAT Score:640

by GmatKiss » Sat Aug 13, 2011 6:26 am
This does not seem to be a question likely to appear on GMAT.

Please defer from posting such questions in the forum, for it may scare the new aspirants!
Top
Master | Next Rank: 500 Posts
Posts: 304
Joined: Wed Jan 27, 2010 8:35 am
Location: International Space Station
Thanked: 11 times
Followed by:3 members

by Aman verma » Mon Aug 15, 2011 5:19 am
Many thanks to Frankenstein. Mary Shelley should be proud of her creation !!
800. Arjun's-Bird-Eye
Top
Senior | Next Rank: 100 Posts
Posts: 46
Joined: Sat Feb 27, 2010 2:58 am
Location: GMAT

by GMATSUCKER » Mon Aug 15, 2011 6:02 am
Please post only GMAT type questions.
GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT, GMAT
What's life without GMAT !!!!!!!!
Top
Post new topic Post Reply
• Page 1 of 1