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Intern  Joined: 21 Jul 2003
Posts: 7
If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the  [#permalink]

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Difficulty:   15% (low)

Question Stats: 80% (01:28) correct 20% (01:34) wrong based on 274 sessions

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If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the ratio of one tic to one toc?

A. 15/2
B. 6/5
C. 5/6
D. 3/10
E. 1/15
Intern  Joined: 17 Aug 2003
Posts: 36
Location: USA

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I've got two questions here.

1)the question, "...what is the ratio of one tic to one toc?" does not sound right shouldn't it just be "What is the ratio of tic to tac"

2)I got 2/15 as the ratio of tic to toc. Wouldn't 15/2 be the ratio of toc to tic?
Intern  Joined: 21 Jul 2003
Posts: 7
i agree with camel!! help akamai  [#permalink]

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yeah, this question is not hard...the reason i even posted it is b/c i keep getting 2/15..which is not one of the answer choices...i got this from the Kaplan math workbook and they say that the answer is 15/2...which i CAN NOT get!!!...so either the book has a wrong answer solution, or i'm still doing it wrong....but here's how i calculated it...

i double checked the question and i wrote it down correctly and solution refers to it correctly also, so i'll assume the question is correct, but here's what we have:

1 tic = 3 tacs
2 tacs = 5 tocs

we want 1 tic/1 toc

so i'll make it simple by reducing tocs down to 1 toc = 2/5 tacs

so to get 1tic/1toc you can set up this equation:

1tic/3tacs x 2/5 tacs/1toc the tacs cancel and with algebra you get

2/5 tic / 3 toc which equals 2/15

did i mess up somewhere??
Senior Manager  Joined: 22 May 2003
Posts: 280
Location: Uruguay

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Make it simple:

1 toc=2/5 tacs
1 tic=3 tacs

(1tic/1toc)=3 tacs / (2/5 tacs) = 15/2
Manager  Joined: 20 Apr 2003
Posts: 51

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I thought this is the way to go about these questions...

1 tic for 3 tacs = 1:3
2 tac for 5 tocs = 2:5

U then multiply the common term between the two that would then make them equal in both ratios, i.e.

(1:3)*2
(2:5)*3

New combined ratio...

2:6:15

Ratio for Tic/Toc = 2/15

Not sure why the answer is 15/2. Doesn't make sense. Tic is the largest of the group and to say for every 15 there are 2 tocs doesn't make sense. It should be the other way around no?
Intern  Joined: 09 Feb 2012
Posts: 47

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I absolutely agree with andyd... can anybody explain please? it doesnt matter how I twist it around i always get 2:15.... other solution doesnt make any sense to me

Many thanks!!!
Math Expert V
Joined: 02 Sep 2009
Posts: 58445

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NYC5648 wrote:
I absolutely agree with andyd... can anybody explain please? it doesnt matter how I twist it around i always get 2:15.... other solution doesnt make any sense to me

Many thanks!!!

If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the ratio of one tic to one toc?
A. 15/2
B. 6/5
C. 5/6
D. 3/10
E. 1/15

Tic=3*Tac and 2*Tac=5*Toc;
2*Tic=6*Tac and 6*Tac=15*Toc --> 2*Tic=15*Toc --> Tic/Toc=15/2.

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Posts: 1749
Location: India
Concentration: General Management, Technology
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Re: If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the  [#permalink]

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1
1
1 Tic = 3 Tacs

2 Tacs = 5 Tocs; so

$$1 Toc =\frac{2 Tacs}{5}$$

$$\frac{1 Tic}{1 Toc} = \frac{3 Tacs}{\frac{2 Tacs}{5}} = \frac{15}{2}$$

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Kindly press "+1 Kudos" to appreciate Intern  Joined: 19 Aug 2015
Posts: 20
Re: If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the  [#permalink]

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1
Guys, there is a difference between (a equals b) and (ratio of a to b).

That is why you´re getting wrong answers.

Example:

If you´re given that A equals 3B, the ratio of A to B should be 3 (the same as A divided by B).

This is why you got 2/15 instead of 15/2.
Senior Manager  Joined: 15 Oct 2015
Posts: 299
Concentration: Finance, Strategy
GPA: 3.93
WE: Account Management (Education)
Re: If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the  [#permalink]

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IF 1 A EQUALS 2 B. WHAT IS THE RATIO OF A TO B?
IS IT 1/3 OR 3?
IF 1DOLLAR EQUALS 100CENTS, WHAT IS THE RATIO OF DOLLAR TO CENT? 1/100 OR 100/1?
Can somebody help me out?
Senior Manager  Joined: 15 Oct 2015
Posts: 299
Concentration: Finance, Strategy
GPA: 3.93
WE: Account Management (Education)
Re: If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the  [#permalink]

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manhattan187 really explained it technically. Thanks a lot cos I got an idea from that. GMAT's unusual way of testing the too fundamental!

Now lemme humbly share to all how I just nailed that elementary arithmetic with a market place knowledge.

,100 cents make one dollar. 10 cents make a dime.
how many dimes are in a dollar?
.
.
.
.
.
you nailed it! 10! ten dimes are in one dollar.
now what is the ratio of dime to dollar?
is it 10?
.
.
.
.
.
.
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1/10! you nailed it!
You know that 10dimes make a dollar. right? what does it mean to say ratio of one dime to one dollar? I mean in literal economic sense. (tip: 10/2 means 10 things is being shared equally by two persons. so it means how many 2s do u get in a 10?. answer is 5two.)
.
.
So the ratio of one dime to one dollar is dime/dollar. i.e. how many dollars do you get in a dime?
... of course you don't get up to a dollar in a dime.
you just get (1/10) dollars.

PS: still kudos to us in the annoying tic question for wrongly solving to get 2/15 and rightly use our commonsense to know that since you should get too many tocs in a freaking tic, therefore the answer must be more than one. So u quickly guessed by choosing the option that inverts what you've got from a good albeit imperfect thought process knowing that time is running out.
Target Test Prep Representative G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the  [#permalink]

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lakrana wrote:
If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the ratio of one tic to one toc?

A. 15/2
B. 6/5
C. 5/6
D. 3/10
E. 1/15

Since 1 tic = 3 tacs, then 2 tics = 6 tacs.

Since 2 tacs = 5 tocs, then 6 tacs = 15 tocs.

Thus, 2 tics = 15 tocs and hence 1 tic = 15/2 tocs.

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the   [#permalink] 06 Apr 2018, 08:50
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