3 tricky questions from GmatPrep!

Question

Could u help me out with these 3 questions?? The OA is the one circled in blue (while the other is the one i picked =( ) 

Please provide extensive explanation to the solution, cause i really don't know how to get it!!

Thanks

Riccardo

CookieMonster · Answer

1) 

1) max dist: (6.4)(2) < 16
2) max dist: (1km/9min)*(60min/1hr)*(2hr) < 16

2) 

if AC is diameter, ABC is a right angle.
A = (1/2)bh
Using the pythag. thrm,

A = (1/2)*(sqrt(2^2-1^2))*(1)
 = sqrt(3)/2


3) couldnt think of a creative way to do this one..sorry

CookieMonster · Answer

3) not sure if the following is correct

h(n) = 2*(1*2*3*...n/2)
h(100) = 2*(1*2*3*...50)

since all prime numbers less than 50 are factors of h(100), they are not factors of h(100)+1

kidstyx · Answer

The first question can be solved without any computations.

The question gives us conditions with regard to Time and Distance.

As one should already know, Rate x Time = Distance

Hence if any of the choices give an indication of the Rate we are sorted, since it will provide us with either a Yes or a No answer (which we don't need to work out in order to answer the question).

1) "less than 6.4 km/h" is an indication of Rate (which can of course be converted into mph)

2) "more than 9 minutes per km" is also an indication of Rate (which can be converted into km/h and than into mph)

So D is the answer.


For the third question, reason it this way:

h(100) = (2^50)*(1*2*3*...50)


h(100) is divisible by 2. So h(100)+1 is not divisible by 2, i.e. 2 is not a factor of h(100)+1.

h(100) is divisible by 3. So h(100)+1 is not divisible by 3, i.e. 3 is not a factor of h(100)+1.

.
.
.

h(100) is divisible by 50. So h(100)+1 is not divisible by 50, i.e. 50 is not a factor of h(100)+1.


Hence every prime number upto 50 is not a factor of h(100)+1.

So p > 50.

Answer: E

CookieMonster · Answer

I disagree with you on number 1. We got the same answer but your logic is flawed IMO..
you say a calculation is not necessary.

We have an inequality not simply and equation with an "=" sign..

what if 1) said less than 9 km/hr?

the trip then could have taken less or more than 2 hours. 

or what if from 1) and 2) we got some range of time?
1< time <3

kidstyx · Answer

Yes, I'm wrong. Apologies. :wink:

3 tricky questions from GmatPrep!

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