GMAT Problem Solving Discussions

[chhavikhurana]

also how many months before the date of exam we hav to enroll?
as in the minimum months before we can enrol?

[ashishjha100]

Pls help.........

2 persons each make a single throw with a pair of dice.Find the probability that the throws are equal?

i dont remember the choices.......

[ashishjha100]

one more..........

There are n stations between two cities A & B. A train is to stop at 3 of these n stations.What is the probability that no two of these stations are consecutive?

[bluefalcon.7691]

QUestions I was not able to solve.Please find time to solve and respond:
1: For every positive integer n h(n) is product of all even interegrs 2 to n inclusive.If P is the smallest prime factor of h(100)+1 , then p lies between:
Options are:
A: Between 2 and 10
B:Between 10 and 20
C:Between 20 and 30
D:Between 30 and 40
E: greater than 40

2:Alice's take home pay last year was the same each month and she saved the same fraction of her take home pay each month.The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take home pay that she did not save. If all the money that she saved last year was from her take home pay, what fraction of her take home pay did save each month.

Answer options:
A 1/2
B 1/3
C 1/4
D 1/5
E 1/6

[ashishjha100]

Originally Posted by bluefalcon.7691

QUestions I was not able to solve.Please find time to solve and respond:
1: For every positive integer n h(n) is product of all even interegrs 2 to n inclusive.If P is the smallest prime factor of h(100)+1 , then p lies between:
Options are:
A: Between 2 and 10
B:Between 10 and 20
C:Between 20 and 30
D:Between 30 and 40
E: greater than 40

2:Alice's take home pay last year was the same each month and she saved the same fraction of her take home pay each month.The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take home pay that she did not save. If all the money that she saved last year was from her take home pay, what fraction of her take home pay did save each month.

Answer options:
A 1/2
B 1/3
C 1/4
D 1/5
E 1/6

For the second question i got the ans as 3/4. This is the approach .......i dont know i'm correct b/c i didn't get an ans frm choice.

take home pay=x
saving=y

12*y=3*12*(x-y)

=> y=3/4

[gettingthere]

Originally Posted by bluefalcon.7691

QUestions I was not able to solve.Please find time to solve and respond:
1: For every positive integer n h(n) is product of all even interegrs 2 to n inclusive.If P is the smallest prime factor of h(100)+1 , then p lies between:
Options are:
A: Between 2 and 10
B:Between 10 and 20
C:Between 20 and 30
D:Between 30 and 40
E: greater than 40

2:Alice's take home pay last year was the same each month and she saved the same fraction of her take home pay each month.The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take home pay that she did not save. If all the money that she saved last year was from her take home pay, what fraction of her take home pay did save each month.

Answer options:
A 1/2
B 1/3
C 1/4
D 1/5
E 1/6

Ok, the answer to 2nd question is:

D 1/5

Assume alice take home is 50, she saves 1/5 of that which is 10. The remainder she spends, 40.
Saving for the year = 10 x 12 = 120
40 x 3 = 120
There you have it.

PS; had to register here to answer your question.

[rohan_vus]

Originally Posted by bluefalcon.7691

QUestions I was not able to solve.Please find time to solve and respond:
1: For every positive integer n h(n) is product of all even interegrs 2 to n inclusive.If P is the smallest prime factor of h(100)+1 , then p lies between:
Options are:
A: Between 2 and 10
B:Between 10 and 20
C:Between 20 and 30
D:Between 30 and 40
E: greater than 40

2:Alice's take home pay last year was the same each month and she saved the same fraction of her take home pay each month.The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take home pay that she did not save. If all the money that she saved last year was from her take home pay, what fraction of her take home pay did save each month.

Answer options:
A 1/2
B 1/3
C 1/4
D 1/5
E 1/6

2nd question one is already answered so i will answer only the 1st one.

Well h(100) + 1 = > 2*4*....*100 + 1 ==> (2*1)*(2*2)...*(2*50) + 1

so we can reduce h(100) + 1 = 2^50(1*2*...*50) + 1.

for any given number to be a factor of h(100) + 1 , the entire h(100) + 1 , should be divisible

Since all numbers from 2 to 50 is a factor of h(100) , then none of them can be a factor of h(100) + 1.

Thus answer is E , greater than 40

[ashishjha100]

pls help.......

The number of triangles whose vertices are at the vertices of an octagon but none of whose sides happen to come from the sides of the octagon is

a.24
b.52
c.48
d.16

[jha16june]

Originally Posted by ashishjha100

pls help.......

The number of triangles whose vertices are at the vertices of an octagon but none of whose sides happen to come from the sides of the octagon is

a.24
b.52
c.48
d.16

pick ne vertex, then we r left with 7 vertices. out of which we have to pick 2 non adjacent vertices. there are 6 possiblities. So total 8*6 = 48.
But each triod will be counted 3 times. So answer sud be 48/3 =16.

[Bunty4Billi]

pls help me with this combinations problem....

A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?

A. 42
B. 70
C. 140
D. 165
E. 315