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If you are subtracting a very small number from a comparatively bigger number then the resulting number is very near to the bigger number.

So your question would effectively convert into 10^8/10^7 equals to what??

and the answer to that is simple 10

B

by sacx

Tue Jun 02, 2009 4:40 am
Forum: Problem Solving
Topic: Gmat prep ques 1
Replies: 4
Views: 985

speed = distance/time Upstream: v-3 = 90/t+0.5 Downstream: v+3 = 90/t Now use backsolving strategy, and the easiest would be to choose 2.5 Upstream v-3 = 90/3 or v-3 = 30, hence time = 3hrs Downstream v + 3 = 90/2.5 or v+3 = 36, hence time = 2.5 hrs Difference between upstream and downstream = 30 mi...

by sacx

Tue Jun 02, 2009 4:33 am
Forum: Problem Solving
Topic: Gmat prep 1 ques
Replies: 2
Views: 1180

2nd Question

Lets assume O is the centre of the circle

angle ABC = 60
therefore angle AOC = 120
Degree measure of arc ABC = 360-120 - 240

length of arc ABC = 2*pi*r * (degree measure of the arc ABC/360)
24 = 2*pi*r * (240/360)

2*r = 36/3.14
2*r < 12 but > 9

Choose C

by sacx

Tue Jun 02, 2009 4:10 am
Forum: Problem Solving
Topic: 2 tough gmat prep geom qs
Replies: 2
Views: 1079

---------- -5 ----------------- x -------------- 3 -----------------


The question is asking which inequality expresses the region

-5<= x <= 3

|x+1| <= 4
x+1 <= 4 and -x-1 <= 4
x<=3 and x >= -5
-5<= x <= 3

E

by sacx

Tue Jun 02, 2009 1:47 am
Forum: Problem Solving
Topic: Help me understand this problem
Replies: 4
Views: 1060

Lets assume number of histoy major = x
therefore, English major would be 2x

Math Major = 1/3rd of english major = 2x/3

history major: Math major = x/(2x/3) = x * (3/2x)
= 3:2

B

by sacx

Tue Jun 02, 2009 1:22 am
Forum: Problem Solving
Topic: ratios
Replies: 2
Views: 1002

r0 + s = r0 + x - 2
s = x -2
x = s +2

STMT I

Does not tell anything about s or x

Insuff

STMT II

this is what the question is asking

Insuff

STMT I & II

Insuff, as we do not know anything about s or x

E

by sacx

Mon Jun 01, 2009 5:21 am
Forum: Data Sufficiency
Topic: Fun with r!
Replies: 10
Views: 1430

T2-T1 = 3
T3-T2 = 6
T4-T3 = 12
T5-T4 = 24
T6 - T5 = 48, T6 = 95
T7-T6 = 96, T7 = 191

by sacx

Thu May 28, 2009 5:24 am
Forum: Problem Solving
Topic: Sequence
Replies: 5
Views: 1124

if you substitude x = 587 and -587 in all the 3 expressions you will find only II will give you the same value, since when x is squared - it really doesn't matter whether x is negative or positive - the result will always be postive.

B

by sacx

Thu May 28, 2009 4:21 am
Forum: Problem Solving
Topic: Bi and Trinomials
Replies: 1
Views: 1090

Re: Sign knowledge

As I can gather the question is asking for the degree measure of angle CAT STMT I 1. AB ^ AT and AC ^ AD ( assuming ^ = perpendicular) angle CAD = 90 and angle BAT = 90 Insuff 2. AB bisects ÐCAD Insuff , as we do not know the degree measure of angle CAD STM I & II, CAB = 45, BAD = 45 BAT = 90 BAD + ...

by sacx

Thu May 28, 2009 2:54 am
Forum: Data Sufficiency
Topic: Sign knowledge
Replies: 3
Views: 1071

shouldn't the question say non-zero non-integers

Stmt I gives us x = y = 3/4, and hence the value of the expression 2
Stmt II says x = y, hence value of the expression = 2

D

by sacx

Thu May 28, 2009 2:43 am
Forum: Data Sufficiency
Topic: x and y is y
Replies: 6
Views: 1081

1^1 + 2^2 + 3^3 + 2^8 + 5^5 + 6^6 + 7^7 + 2^24 + 3^27 + 10^10 1^1 + 2^2 = 5 remainder 0 5^5 and 10^10 will also have remainder 0 so we are left with, 3^3 + 2^8 + 6^6 + 7^7 + 2^24 + 3^27 the units digit for the above expression, 7 + 6 + 6 + 3 + 6 + 7 35, which is evenly divisible by 5 Choose A Nicel...

by sacx

Thu May 28, 2009 2:30 am
Forum: Problem Solving
Topic: Remainder
Replies: 5
Views: 951

I am getting 11 but I don't know if my method is correct Slope of the line PQ = -3/5 or -0.6 so for every 0.6 increase in y-axis, x-axis decreases by 1 so the integer values for y-axis would be an interval of 3 (3,6,9,12,15,18,21,24,27,30) So the points would be (3,45) (6,40) (9,35) (12,30) (15,25) ...

by sacx

Wed May 27, 2009 11:07 pm
Forum: Problem Solving
Topic: points on PQ
Replies: 4
Views: 1364

Area of equilateral triangle = t * (&#8730;3/4) t
Area of square = s*s

since the area of triangle and square is equal

s*s = t * (&#8730;3/4) t

t/s = 2/ (3)^1/4

D

by sacx

Wed May 27, 2009 10:50 pm
Forum: Problem Solving
Topic: Geometry ratio
Replies: 1
Views: 752

1^1 + 2^2 + 3^3 + 2^8 + 5^5 + 6^6 + 7^7 + 2^24 + 3^18 + 10^10 1^1 + 2^2 = 5 remainder 0 5^5 and 10^10 will also have remainder 0 so we are left with, 3^3 + 2^8 + 6^6 + 7^7 + 2^24 + 3^18 the units digit for the above expression, 7 + 6 + 6 + 3 + 6 + 9 37, which when divided by 5 leaves remainder 2 Cho...

by sacx

Wed May 27, 2009 5:38 am
Forum: Problem Solving
Topic: Remainder
Replies: 5
Views: 951