If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the

Question

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

PareshGmat · Accepted Answer

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}

Answer = A

Bunuel · Answer

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.

Answer: A.

camel · Answer

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?

lakrana · Answer

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??

MartinMag · Answer

Make it simple:

1 toc=2/5 tacs
1 tic=3 tacs

(1tic/1toc)=3 tacs / (2/5 tacs) = 15/2

andyd · Answer

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?

NYC5648 · Answer

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!!!

manhattan187 · Answer

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.

Ekland · Answer

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?

Ekland · Answer

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?
.
.
.
.
.
.
.
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.

JeffTargetTestPrep · Answer

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.

Answer: A

GKomoku · Answer

perfect explanation why 2/15 get twisted

GianKR · Answer

We are asked the ratio of tic to toc, which is basically what would the fraction of tic to toc equal: tic/toc=?

Method 1 (using conversion factors):

1toc x 2tacs/5tocs x 1tic/3tacs= 2/15 tic

Hence 1 toc = 2/15 tic
Therefore, tic/toc = 15/2

Method 2 (using ratios):

The ratio of tic to tac is 3 to 1 or 15 to 5 (using a multiplier of 5) and the ratio of tac to toc is 5 to 2
Hence, the ratio of tic to toc is 15 to 2.

Correct answer is A

GianKR · Answer

Similar question for practice: https://gmatclub.com/forum/if-35-skips- ... 17641.html

ManifestDreamMBA · Answer

Has anyone seen any similarly worded questions in GMAT?

bumpbot · Answer

Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.

If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

If 1 tic equals 3 tacs and 2 tacs equal 5 tocs, what is the

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards