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(1+root3+root5+root3+root5)(1+root3+root5-root3-root5)Max@Math Revolution wrote:(1+√3+√5)^2-(√3+√5)^2=?
A. 1+2√3+2√5
B. 1+2√3+3√5
C. 1-√3+√5
D. 1+√3-√5
E. √3+√5
*An answer will be posted in 2 days.
=1+2root3+2root5 Option A
- by STEVEN SPIELBERG
Sun Jun 26, 2016 9:29 am- Forum: Problem Solving
- Topic: (1+√3+√5)^2-(√3+√5)^2=?
- Replies: 4
- Views: 2044
If m is divisible by 3, how many prime factors does m have? (1) m3 is divisible by 3 (2) m3 has two different prime factors OA is C but I have the following query, experts plz from 1&2 ;- m could be 3^2.2 or 3^2.2^2 in both cases ans will be different bcz stem is asking how many prime factors d...
- by STEVEN SPIELBERG
Sat May 02, 2015 2:21 am- Forum: Problem Solving
- Topic: If m is divisible by 3, how many
- Replies: 6
- Views: 2375
Hi Brent, Yes, there has been an error. It's 4 which I have corrected. Though it's true that there are no distinct marks specifying left or right socks, we can distinguish left or right sock from the shape of the sock itself. Nevertheless, if the basic idea was to get a pair of socks of same color, ...
- by STEVEN SPIELBERG
Mon Oct 13, 2014 7:21 am- Forum: Problem Solving
- Topic: Pairing Problem
- Replies: 4
- Views: 2499
Pairing Problem
Q: George's drawer has 10 loose black socks, 15 loose blue socks, and 8 loose white socks. if George takes socks out of the drawer at random, how many would he need to take out to be sure that the removed socks include at least one matching pair ? a) 3 b)4 c)9 d)15 e)31 Source:Kaplan I have a questi...
- by STEVEN SPIELBERG
Mon Oct 13, 2014 3:06 am- Forum: Problem Solving
- Topic: Pairing Problem
- Replies: 4
- Views: 2499
Hey guys, yep! I agree with Rich this does not add much to my prep. Knowing theory is not that much necessary than the practical aspect of actually solving the problem does. I was just curious cause this is one type of problems that's always bothering me from my undergrad days. Now mathsbuddy wrote ...
- by STEVEN SPIELBERG
Mon Dec 09, 2013 6:09 am- Forum: Problem Solving
- Topic: Number theory
- Replies: 13
- Views: 2452
ooops! My mistake! the first option is actually (a)Odd. So I have corrected the error in the first post. OA(e) What I was asking was a very specific name for this type of question cause Number properties is a very regular name for this. Normally, we name a sequence as a number pattern .Or when a spe...
- by STEVEN SPIELBERG
Sun Dec 08, 2013 9:27 am- Forum: Problem Solving
- Topic: Number theory
- Replies: 13
- Views: 2452
Number theory
Q:If P be a prime number such that 3<P<50, then P^2-1 is: (a)Odd (b)A perfect square (c)A fraction (d)A negative integer (e)Always divisible by 8 __________________________________________________________________________________________________ I have few questions regarding the above question: 1) I...
- by STEVEN SPIELBERG
Sun Dec 08, 2013 8:01 am- Forum: Problem Solving
- Topic: Number theory
- Replies: 13
- Views: 2452
Hey there, Yep, I was misinterpreting the Anagram. The Anagram is actually a method for counting the number of possible numbers that meet the criteria and not for checking what the actual numbers will be i.e the actual details say 1212122. So the 5 in the unit's digit position is actually 10/2 which...
- by STEVEN SPIELBERG
Thu Dec 05, 2013 6:22 am- Forum: Problem Solving
- Topic: Counting problem
- Replies: 9
- Views: 3706
Hi Steven, This question DOES NOT ask how many 7-digit numbers are even; it asks how many 7-digit numbers are there whose DIGITS SUM to an even number. As examples: The number 2,111,111 has digits that add up to an EVEN number The number 2,111,112 has digits that add up to an ODD number Brent provi...
- by STEVEN SPIELBERG
Wed Dec 04, 2013 11:06 am- Forum: Problem Solving
- Topic: Counting problem
- Replies: 9
- Views: 3706
The solution I have is with the use of an Anagram: |9|10|10|10|10|10|5|=4500000. If we fix first digit then unit digit will determine the odd/even nature of numbers so formed. So unit digit can assume only 5 digits which are even. This implies that whatever the first six digits are the sum will be e...
- by STEVEN SPIELBERG
Tue Dec 03, 2013 11:55 am- Forum: Problem Solving
- Topic: Counting problem
- Replies: 9
- Views: 3706
Counting problem
Q:The total number of seven digit numbers,the sum of whose digits is even are: (a)250000 (b)4500000 (c)3500000 (d)6500000 (e)7500000 OA[spoiler](b)[/spoiler] Although the answer given is (b) I am not getting the answer (b). I think there is something wrong with the question or maybe I am missing som...
- by STEVEN SPIELBERG
Sun Dec 01, 2013 10:07 am- Forum: Problem Solving
- Topic: Counting problem
- Replies: 9
- Views: 3706
Combinatorics
Q: How many words can be formed by using 4 letters at a time out of all the letters of the word MATHEMATICS? (A)2445 (B)2454 (C)1243 (D)1454 (E)4542 OA B Please explain why do we use a mix of permutation and combination instead of only permutation or only combination, to solve this problem ? Why doe...
- by STEVEN SPIELBERG
Sat Nov 30, 2013 6:33 am- Forum: Problem Solving
- Topic: Combinatorics
- Replies: 3
- Views: 1849
Which STORY inspired you. Please mention the name and the author. Please be specific cause I need guidance and motivation too.frank1 wrote:Well,i have read lots of stories here.
Especially one that inspire you to do good.
- by STEVEN SPIELBERG
Wed Jan 19, 2011 11:04 am- Forum: I just Beat The GMAT!
- Topic: I was just thrashed by the GMAT
- Replies: 4
- Views: 3090
- by STEVEN SPIELBERG
Sat May 22, 2010 7:25 am- Forum: Data Sufficiency
- Topic: Geometry
- Replies: 7
- Views: 1674
- by STEVEN SPIELBERG
Sat May 22, 2010 7:17 am- Forum: Problem Solving
- Topic: Number Properties
- Replies: 10
- Views: 1533