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        riddles >> easy >> A fun and interesting IQ question
        
(Message started by: wonderful on Mar 20^th, 2008, 3:56pm)

Title: A fun and interesting IQ question
Post by wonderful on Mar 20^th, 2008, 3:56pm

if ONE * THREE * FIVE = 225 --- then NINE * SEVEN + TWELVE = X --- 225 + X = Y --- 10,18,32,56,93,146,? ---? + Y = Z --- Solve for Z

a-4611
b-4898
c-4768
d-4561
e-4908

Have A Great Day!

Title: Re: A fun and interesting IQ question
Post by iono on Mar 20^th, 2008, 5:42pm

mind making that clearer?

Title: Re: A fun and interesting IQ question
Post by wonderful on Mar 20^th, 2008, 6:46pm

The question can be restated as follows:

Given: ONE * THREE * FIVE = 225

X is determined by:
NINE * SEVEN + TWELVE = X

Y is determined by:
225 + X = Y

? is the next number in the following sequence:
10,18,32,56,93,146,?

Solve for Z satisfying:
? + Y = Z

Title: Re: A fun and interesting IQ question
Post by mikedagr8 on Mar 21^st, 2008, 3:14am

on 03/20/08 at 18:46:42, wonderful wrote:

? is the next number in the following sequence:
10,18,32,56,93,146,?

Is it 93 for sure? If it is 90, I have a pattern to solve. :-/

Title: Re: A fun and interesting IQ question
Post by FiBsTeR on Mar 21^st, 2008, 2:56pm

The answer is D, 4561.

Why?
[hideb]
.
.
.
Google told me so.
.
.
.
[/hideb]

Title: Re: A fun and interesting IQ question
Post by wonderful on Mar 21^st, 2008, 3:55pm

Can you tell us how you (or google:) ) come up with this answer?

Have A Great Day!

Title: Re: A fun and interesting IQ question
Post by FiBsTeR on Mar 22^nd, 2008, 6:46am

Google gave me this (http://www.allthetests.com/quiz18/quizpu.php?testid=1139060031):

Title: Re: A fun and interesting IQ question
Post by Sir Col on Mar 22^nd, 2008, 11:14am

Apart from the sequence the rest is fairly straight forward...

Hint: Think about ONE * THREE * FIVE = 225. What three numbers could multiply to make 225 such that their relationship to one another is 1, 3, and 5?

However, I just can't figure out that sequence, as the answer would require 223 to be the next term.

Clearly there is no determinable polynomial relationship due to no constant difference being found. But working with the idea that one of the terms is wrong would indicate that 93 should be 94. Yet this would lead to the next term being 228.

Interestingly there is the start of a (coincidental?) relationship:
10 * 18/10 = 18
18 * 16/9 = 32
32 * 14/8 = 56
56 * 12/7 = 96 (which is where it goes wrong).
And this would lead to the next two terms being 160 and 256.

Any ideas?

Title: Re: A fun and interesting IQ question
Post by Grimbal on Mar 22^nd, 2008, 2:26pm

If you assume the first term is 11 and not 10, you get a degree 3 polynomial and the next terms are 218 and 312.

Or by changing 2 terms, you get
(21),18,(31),56,93,146,223

About the sequence 10,18,32,56,96,160, interestingly, if you compute the differences, you get 8,14,24,40,64
and you have the relation again:
8 * 14/8 = 14
14 * 12/7 = 24
24 * 10/6 = 40
40 * 8/5 = 64

Not much help, I guess. :(

Title: Re: A fun and interesting IQ question
Post by FiBsTeR on Mar 23^rd, 2008, 7:28am

on 03/22/08 at 14:26:30, Grimbal wrote:

About the sequence 10,18,32,56,96,160, [...]

Another aside, Sloane recognizes this sequence (http://www.research.att.com/~njas/sequences/?q=10%2C18%2C32%2C56%2C96%2C160&language=english&go=Search); not sure if that'll lead to any clues about the original though.

Title: Re: A fun and interesting IQ question
Post by wonderful on Mar 23^rd, 2008, 4:33pm

Great discussions here. I agree that this is a challenging and interesting question. According to the website, the question is at IQ level of 170.

Have A Great Day!

Title: Re: A fun and interesting IQ question
Post by temporary on Mar 25^th, 2008, 6:06pm

Since when does 1*3*5=225. I claim the answer to be no solution, for the question provides false information.

Title: Re: A fun and interesting IQ question
Post by Sir Col on Mar 26^th, 2008, 2:23am

Not all claims are valid. For example, I claim that you demonstrate some signs of intelligence, but clearly your post provides false information.

The problem doesn't say 1*3*5 = 225. To make the problem solvable the creator has cleverly mapped the value of the word to the value of each factor. In fact, the beauty of his system is the internal consistency: ONE * THREE * FIVE = FIFTEEN.

Now go figure it out, but if you want to make yourself useful around here try helping us out by working out that sequence.

Title: Re: A fun and interesting IQ question
Post by Master of Everything 42 on Mar 26^th, 2008, 4:23am

Hey

One * Three * Five = the square root of 225.....

Title: Re: A fun and interesting IQ question
Post by wonderful on Mar 26^th, 2008, 7:59pm

I aggree that this has little to do with intelligence. But it is fun. Someone might be able to figure the sequence soon.

Have A Great Day!

Title: Re: A fun and interesting IQ question
Post by temporary on Mar 27^th, 2008, 8:35pm

on 03/20/08 at 15:56:00, wonderful wrote:

if ONE * THREE * FIVE = 225 --- then NINE * SEVEN + TWELVE = X --- 225 + X = Y --- 10,18,32,56,93,146,? ---? + Y = Z --- Solve for Z

a-4611
b-4898
c-4768
d-4561
e-4908

Have A Great Day!

How does this not say 1x3x5=225?!

Title: Re: A fun and interesting IQ question
Post by Noke Lieu on Mar 27^th, 2008, 10:31pm

>:(

ONE*THREE*FIVE=225

is not the same as

1*3*5=225

for a myriad of reasons, not least of which

"one" does not equal "1".
The first subject is a collection of shapes called letters that arrange themselves into a word that we can give a meaning.
The other is a glyph/character that we typically assign a meaning.
Yes, they can be used to mean the same thing, but not always. "One (http://en.wikipedia.org/wiki/One_%28pronoun%29)"

What if, for example, F=I=V=E=R=1; T=N=3; 0=H=5
(not that I think this is the answerl- this one's beyond me at the moment)

Title: Re: A fun and interesting IQ question
Post by Sir Col on Mar 28^th, 2008, 2:03am

on 03/27/08 at 20:35:23, temporary wrote:

How does this not say 1x3x5=225?!

If that bothers you then you won't like the fact that in this system, THREE + FOUR = FIVE. :o

Come on, temporary. Look at the clues:
ONE * THREE * FIVE = 225
ONE * THREE * FIVE = FIFTEEN

Title: Re: A fun and interesting IQ question
Post by Hippo on Mar 28^th, 2008, 4:13am

on 03/27/08 at 22:31:37, Noke Lieu wrote:

"one" does not equal "1"

I would say "ONE" neednot be equal "1" and
"THREE" neednot be equal "3".

(Actually "ONE"=1 ;) .)

Title: Re: A fun and interesting IQ question
Post by FiBsTeR on Mar 28^th, 2008, 6:22pm

on 03/26/08 at 04:23:59, Master of Everything 42 wrote:

Hey

One * Three * Five = the square root of 225.....

It's not a big jump to go from here to the value of X. Try to think outside of the box... or should I say, [hide]the "square"[/hide]...

It is the sequence that seems to be the head-scratcher. ???

Title: Re: A fun and interesting IQ question
Post by iono on Apr 4^th, 2008, 7:09pm

"ONE" IS not 1. it is the variables "O", "N", and "E" multiplied together. Same thing w/ the rest. if it is uppercase, it is a variable. this is where it gets hard.

Title: Re: A fun and interesting IQ question
Post by FiBsTeR on Apr 4^th, 2008, 7:30pm

on 04/04/08 at 19:09:58, iono wrote:

if it is uppercase, it is a variable.

Not necessarily. In this case, [hide]ONE = 1², THREE = 3², FIVE = 5², and ONE * THREE * FIVE = 1² * 3² * 5² = 225[/hide], and this pattern allows you to find X -- the words themselves act as variables here.

Title: Re: A fun and interesting IQ question
Post by iono on Apr 5^th, 2008, 1:15pm

good idea. thx 4 pointing that out

Title: Re: A fun and interesting IQ question
Post by wonderful on Apr 18^th, 2008, 7:54pm

It has been quiet here for a while. [hide]As a hint, 10,18,32,56,93,146,? is a nested recursive function. You can find that ? = 224.[/hide]

Have A Great Day!

Title: Re: A fun and interesting IQ question
Post by skeptic1000 on Apr 24^th, 2008, 1:53pm

I worked on this for a while but could not get that 146 to fit in anywhere. If anyone is interested there is a full explanation here (warning this is a complete spoiler):

[hide]http://www.marilynvossavant.com/forum/viewtopic.php?p=5829&sid=3f9ce2286bbe0adf34fb29c886a69537#5829[/hide]

Title: Re: A fun and interesting IQ question
Post by Sir Col on Apr 25^th, 2008, 1:25pm

on 04/24/08 at 13:53:11, skeptic1000 wrote:

If anyone is interested there is a full explanation here...

http://www.marilynvossavant.com/forum/viewtopic.php?p=5829#5829

That "explanation" is certainly full of something!

Title: Re: A fun and interesting IQ question
Post by iono on Apr 25^th, 2008, 7:47pm

All this complicated math is hurting my head.

Title: Re: A fun and interesting IQ question
Post by FiBsTeR on Apr 26^th, 2008, 7:39am

This is only my very humble opinion, but I usually don't like these problems because there can be so many reasonable interpretations of the sequence that can lead to correct answers, especially in this situation when the sequence is nowhere close to trivial (I don't think).

But if this (http://www.marilynvossavant.com/forum/viewtopic.php?p=5829#5829) was the intended answer, then, pardon me, but this would have to be the most unsatisfying solution I've ever seen (not that I've seen too many, though). I don't see any reason why this sequence favors the "solution" posted in the link above any other, except for the fact that it yields the "intended answer", which shouldn't be a reason for a solution to be reasonable (I hope).

If anything, the other solution (http://www.marilynvossavant.com/forum/viewtopic.php?p=5890#5890) given in the link (in which the third subtraction is modeled by a quadratic), yields a "wrong" answer, but makes much more sense than the other's "reference to special functions" and what-not.

And when the author of the first solution addressed the second solution, he wrote:

Quote:

Another fine example of extrinsic, finite term fitting sample sufficiency, but unfortunately exhibiting no polymorphic complexity measure beyond the mundane quadratic formula.

Interpretation: Your answer is too simple, and therefore cannot possibly be correct, especially since it uses the "mundane quadratic formula" (which I don't think it even uses...). My answer must be correct because it is long and "exhibits a polymorphic complexity measure".

Great puzzle.

EDIT:

Actually, the first solution gives an answer of "224" rather than "223" for the next term in the sequence, which does not yield the correct answer to the original problem, so it is actually no more acceptable than any other solution. ::)

Title: Re: A fun and interesting IQ question
Post by Sir Col on Apr 26^th, 2008, 7:58am

I couldn't figure out if Moiety Noire (the author of that "explanation") was testing the story of the "Emperor's New Clothes" or he actually thinks what he is saying makes sense. But whichever way, iono, your hurting head is testimony to the fact that you're not taken in by his drivel.

It is quite possible to find a degree 5 polynomial to fit the given terms:
f(x) = (240 + 1284x - 520x² + 215x³ - 20x⁴ + x⁵)/120

And indeed this generates f(1) = 10, f(2) = 18, f(3) = 32, f(4) = 56), f(5) = 93, and f(6) = 146 as expected, but it gives the next term, f(7) = 219.

I am convinced that the original sequence either contains an erroneous term or it is simply non-determinable based on the information given.

Title: Re: A fun and interesting IQ question
Post by Grimbal on Apr 26^th, 2008, 3:20pm

It could be it is something less mathematical, like adding to each number the number of letters when the number is spelled out, or one column in Mendeleev's periodic table.

Title: Re: A fun and interesting IQ question
Post by Sir Col on Apr 26^th, 2008, 4:36pm

Or it could even be the numbers of the last seven buses he saw listed in numerical order!? :P

Title: Re: A fun and interesting IQ question
Post by Simple.paulian on Dec 13^th, 2013, 4:10am

I THEREFORE CONCLUDE THAT...

if ONE * THREE * FIVE = 225 --- then NINE * SEVEN + TWELVE = X --- 225 + X = Y --- 10,18,32,56,93,146,? ---? + Y = Z --- Solve for Z

F1 x f2 x f3 = 225

(1x1) (3x3) (5x) = 225
(1) (9) (25) = 225
225

(9x9) (7x7 )+ (12x12) = x
(81) (49) + 144 = x
3964 + 144 = x
x = 4113

225 + 4113 = y
y = 4338

10,18,32,56,93,146,? + y = z solve for z

(N-#) 2

(18-2) x 2 = 16 x 2 = 32
(32-2) x 2 = 30 x 2 = 60
(60-2) x 2 = 58 x 2 = 116
(116-2) x 2 = 114 x 2 = 228

228 + 4338 = z
z = 4566

4566 (e.4561) (my answer is wrong ..)

-----------------------

10,18,32,56,93,146,? + y = z solve for z?

then again this Next line analysis.

He/She ask If One* Three* Five* is Equal to 225. Solve for Z?

IF=225 then Z=?

1018325693146? + y = z solve for z

i therefore conclude that. A question mark is what we want to find in order to solve for Z.

(then NINE * SEVEN + TWELVE = X)

x = 9712
135 + 9712 = x
x = 9577

225 + x = y
225 + 9577 = y
y = 9802

? + y = z
? + 9802 = z

(?) = (y) - (x) = z

9802 - 9577 = z
z = 225

If One Three Five is EQUAL to 225 there for the Z is also EQUAL to 225

Y and X is still a letter. A letter plus a number is neither a letter nor a number.

Therefore, Z = undefined.

PROBLEM IS SOVLE <3

Title: Re: A fun and interesting IQ question
Post by drakula941 on Dec 24^th, 2013, 12:31pm

i solved it... by the following method...there might be other as well
ONE*THREE*FIVE=1^2*3^2*5^2=225
NINE*SEVEN+TWELVE=9^2*7^2+12^2=4113=X
225+X=225+4113=4338=Y
10 18 32 56 93 146 ? (difference of all the numbers)
8 14 24 37 53 (difference of these)
6 10 13 16
now ?+Y=Z = Z-Y=?
we have been given 5 values of Z
i used Z-Y for all 5 to get 5 values for ?
out of which 4561-4338=223
if u assume ?=223 and check the difference after 146
it goes like
93 146 223
53 77
24
so it goes 6,10,13,16,24
if u solve Z-Y for all 5 Z and assume Z[i] = ?
you'll notice why 223 = ?
(I AM NOT VERY GOOD AT EXPLAINING STUFF NON-vERBALLY....SORRY)
I FOUND IT VERY VAGUE.... THOUGH I GOT IT RIGHT IN SUBMISSION...BUT UNSATISFIED SOLVING IT.

Title: Re: A fun and interesting IQ question
Post by pengertianbisnis on May 14^th, 2014, 3:42pm

;D ;D funny

Title: Re: A fun and interesting IQ question
Post by UgoLocal02 on Jun 11^th, 2014, 11:28pm

I think its capital alphabet's which are confusing us.