GMAT Problem Solving Discussions

MBA
4566
itsvenkathere Says
What is the sum of the remainders of the first 40 positive integers when didvided by the nummber 6.



remainder when divided by 6 will be ranging from 0-5; 40 can be divided in to 36 and 4

(0+1+2+3+4+5)*6 (6*6) and (1+2+3+4)

answer is 15*6 + 10 = 100
4567

Q. If x
A. -x
B. 1
C. 0
D. -1
E. x

Please help!

4568
Q. If x
A. -x
B. 1
C. 0
D. -1
E. x

Please help!

Should be E........plug in numbers like -2, -3........
4569
Aritro9782 Says
Should be E........plug in numbers like -2, -3........

I also answered E. The OA - A. Can think only of such a logic that...
answer of root() should be considered as +ve. So root(4) should be considered as 2 and 2 = -(-2) i.e -(x) as
x Any suggestions?
4570
I also answered E. The OA - A. Can think only of such a logic that...
answer of root() should be considered as +ve. So root(4) should be considered as 2 and 2 = -(-2) i.e -(x) as
x Any suggestions?

Stumped.......
4571
Q. If x
A. -x
B. 1
C. 0
D. -1
E. x

Please help!


Answer is positive square root of x^2 which is -x so A
4572
Aritro9782 Says
Stumped.......


Let x = -2

root( -(-2) -2)
= root (2*2)
= 2
= - (-2)
= -x......................(as x=-2)
4573
Q. If x
A. -x
B. 1
C. 0
D. -1
E. x

Please help!


Should be -x

If x
-x is +ve
|x is +ve

Root (x^2) = +/- (x) as x
4574

Guests at a recent party ate a total of fifteen hamburgers. Each guest who was neither a student nor a vegetarian ate exactly one hamburger. No hamburger was eaten by any guest who was a student, a vegetarian, or both. If half of the guests were vegetarians, how many guests attended the party?

(1) The vegetarians attended the party at a rate of 2 students to every 3 non-students, half the rate for non-vegetarians.

(2) 30% of the guests were vegetarian non-students.


Lets say A = Only Students, B = Students and Veg, C = Only Veg and D = Neither Student or Veg.

Hence from statement of the problem, D = 15 and B+C is Half the guest then A + D should be the other half.

Statement 1: if B = 2, C =3 that is 2C = 3B, 2(B +C) = (A + D) but from the statements B+C = A+D

isn't it contradictory.

Statement 2 : C = 0.3 (B+C) not sufficient.

Am i missing anything here?

4575

90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?
a. 125
b. 150
c. 225
d. 250
e. 500

Guys Pls. help me on this....

4576

Sir,

What i understand fro the wording of this problem is that in one section of the problem, 'x' , represents a percentage and in anther section, it represents the total no. of students in the school.

In that case how can we match and solve it considering as a single variable?

4577
90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?
a. 125
b. 150
c. 225
d. 250
e. 500

Guys Pls. help me on this....



Let B be number of boys ->

90 students represent x percent of the boys at Jones Elementary School.

means
90 = (x*B)/100 i.e. B = (100*90)/x ................. (1)

If the boys at Jones Elementary make up 40% of the total school population of x students
means
B = (40/100)*x .......................(2)

From (1) and (2)

(40/100)*x = (100*90)/x
i.e x^2 = (100^2)*(9/4)
i.e. x = 100 * (3/2) = 150
4578
Sir,

What i understand fro the wording of this problem is that in one section of the problem, 'x' , represents a percentage and in anther section, it represents the total no. of students in the school.

In that case how can we match and solve it considering as a single variable?


there are two equations given, when x is given as a percent and in another it is not a percent

By the way is 150 right answer at all :-D
4579

A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead , white bead, blue bead, and yellow bead. if the necklace design begins with a red bead and ends with a white bead, then N could equal?

A. 16
B. 32
C. 41
D. 54
E. 68

Guys , I really cannot figure out, what is required in this....Please help.

Thanks

4580
A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead , white bead, blue bead, and yellow bead. if the necklace design begins with a red bead and ends with a white bead, then N could equal?

A. 16
B. 32
C. 41
D. 54
E. 68

Guys , I really cannot figure out, what is required in this....Please help.

Thanks


The question is on multiple and remainder.

There are 5 beads, if woven together they would be more than 5 and would be multiple of 5 if it begins with red(R) and ends in yellow(Y)
R-G-W-B-Y-R-G-W-B-Y-R-G-W-B-Y.....-W-B-Y (check out yourself)

Necklace begins in "R" (red) but doesn't end in Y(yellow) rather ends in W(white). In the R-G-W-B-Y- patter W is at third position, so it should be at 3rd position after multiple of 5.

In other words which number when divided by 5 (pattern has 5 distinct colored beads repeating) would give remainder of 3

A - 16 = 5*3 + 1 ...................(necklace would end in R)
B - 32 = 5*6 + 2 ...................(necklace would end in G)
C - 41 = 5*8 + 1....................(necklace would end in R)
D - 54 = 5*10 + 4...................(necklace would end in B)
E - 68 = 5*13 + 3-------------(necklace would end in W)

So correct answer is E

please confirm previous and this answer with Official / Correct Answer - and also keep clicking thanks
4581

Let M and F be number of male and female employee respectively

Considering A) M/(F+14) = 16/9

Nothing can be find as total number of employees are not given.

Considering B) M- F = 105

Also B alone is not sufficient.

Combinig A & B give F .
Therefore answer is C

4582

From statement A: ration of red and blue is 2:1 and hence out of 9 balls removed ,
number of red balls removed are 6 and blue is 3.

hence A alone is sufficient.

Also from B: out of 6 balls removed 4 are red and 2 are blue hance the ratio gaian is 2:1

hence B follows.

So answer is option "D"

4583

consider B alone first,which doesn't not give enough info and hence doesn't not prove the statement

consider A alone: a not equal (b-c),
take a square on both the side (as modulus property are similar to square of a number prop).

but consider b-c = 2 and a = -2.

a not equal to b-c but square of the same is equal.

also consider a = 2 and b-c =3 also they are not equal.

Combining A and B: a = -3 and b-c = 2 so b-c not equal to a .hence nothing can be concluded by combining both A and B.

4584

Iin simple words, the solution is any number which follows 5n + 3, there are a total of 5 items, and white is at the 3rd position, answer will be 68, no other options satisfy.

The question is on multiple and remainder.

There are 5 beads, if woven together they would be more than 5 and would be multiple of 5 if it begins with red(R) and ends in yellow(Y)
R-G-W-B-Y-R-G-W-B-Y-R-G-W-B-Y.....-W-B-Y (check out yourself)

Necklace begins in "R" (red) but doesn't end in Y(yellow) rather ends in W(white). In the R-G-W-B-Y- patter W is at third position, so it should be at 3rd position after multiple of 5.

In other words which number when divided by 5 (pattern has 5 distinct colored beads repeating) would give remainder of 3

A - 16 = 5*3 + 1 ...................(necklace would end in R)
B - 32 = 5*6 + 2 ...................(necklace would end in G)
C - 41 = 5*8 + 1....................(necklace would end in R)
D - 54 = 5*10 + 4...................(necklace would end in B)
E - 68 = 5*13 + 3-------------(necklace would end in W)

So correct answer is E

please confirm previous and this answer with Official / Correct Answer - and also keep clicking thanks
4585

Can someone please post tough absolute, inequality, Perms & Combs, and probability questions please?