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Hi wied81, Great question!! But I could figure out a simple way to solve this.. :) Here is the explanation.. We know that there are 7 numbers with mean =68 and median=84. Lets arrange the numbers in decreasing order.. (4*X+14), A, B, (84), C, D, (X) Now since 84 is median and 68 is mean- (4*x+14) >=...

by shantanu86

Tue May 01, 2012 8:03 pm
Forum: Problem Solving
Topic: OG 13 #183 Seven pieces of rope...
Replies: 20
Views: 9374

IMO [A]..

Will not discuss, to save it from being ruined ;)

by shantanu86

Tue May 01, 2012 7:22 am
Forum: Problem Solving
Topic: Vemuri's Brain Teaser-1
Replies: 6
Views: 2298

If the range of the set containing the numbers x, y, and z is 8, what is the value of the smallest number in the set? (1) The average of the set containing the numbers x, y, z, and 8 is 12.5. (2) The mean and the median of the set containing the numbers x, y, and z are equal. This is a great questi...

by shantanu86

Tue May 01, 2012 6:23 am
Forum: Data Sufficiency
Topic: Challenge-statistics
Replies: 45
Views: 19829

I think its a simple question..
Just take 2^(x-2) out and you have

2^(x-2)* 3= 3*2^13
=>x=15

Hope it helps!!

by shantanu86

Tue May 01, 2012 5:59 am
Forum: Problem Solving
Topic: 2^x - 2 ^ (x-2) = 3(2 ^ 13) , what is x?
Replies: 5
Views: 7452

Q) Each of the 30 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 14 pounds by removing some of the 20-pound boxes, how many 20-po...

by shantanu86

Mon Apr 30, 2012 9:47 pm
Forum: Problem Solving
Topic: boxes average problem
Replies: 2
Views: 1148

IMO [spoiler][E][/spoiler] This question is an easy one if you know the concept that for two positive numbers x and y if x>y then x^n may not be > y.. this is true if x& y are less than 1 because if a number is <1 then taking its power >1 will always decrease it. eg. .5 > .4 but .5^2 = .25 <.4 T...

by shantanu86

Mon Apr 30, 2012 9:37 pm
Forum: Data Sufficiency
Topic: algebra
Replies: 2
Views: 787

IMO [spoiler][C][/spoiler]. Lets analyze, (x-y)^4 ? (1) The product of x and y is 7. -There are several values of x & y possible for which the product is 7... (1,7) (1/7,49) etc.. all of these will result in a different (x-y)^4.. NOT SUFF. (2) x and y are integers. -This alone is obviously NOT S...

by shantanu86

Mon Apr 30, 2012 9:01 pm
Forum: Data Sufficiency
Topic: tough DS
Replies: 1
Views: 788

Interesting question. In equations of the form ax + by = c, if c is an integral multiple of both 'a' and 'b', then such an equation will have atleast one pair of integral solution. Case I: If c is the LCM of a and b, then the equation will have exactly one pair of integral solution (Unique solution...

by shantanu86

Mon Apr 30, 2012 8:54 pm
Forum: Data Sufficiency
Topic: why does the variable rule not apply here?
Replies: 13
Views: 2082

As the divisibility rule states- "if the last 3 digits of a number are divisible by 8, so is the entire number", so when the greatest integer is divided by 1000 then the remainder should be divisible by 8. (a) 12 - not divisible by 8 (b) 21 - not divisible (c) 102 - not divisible (d) 120 ...

by shantanu86

Mon Apr 30, 2012 2:38 am
Forum: Problem Solving
Topic: no two digits are identical
Replies: 6
Views: 1466

Hi rajcools, agarwalmanoj2000; IMO it definitely [spoiler][A][/spoiler] Here is the comparison- Argument- The drug will have major contribution to profits despite the fact that company must sell it for > 5X price. e) Millions of people suffer from severe stomach disorders, representing an estimated ...

by shantanu86

Sun Apr 29, 2012 11:31 pm
Forum: Critical Reasoning
Topic: A certain pharmaceutical firm recently developed a new medic
Replies: 7
Views: 2633

Is p a negative number? (1) p^3(1 – p^2) < 0 (2) p^2 – 1 < 0 Source: grockit. OA: C IMO its [spoiler][C][/spoiler] Lets analyze- (1) p^3(1-p^2)<0 => either p^3 or 1-p^2 is negative and the other one is positive. case 1. p^3 <0 & (1-p^2)>0 => -1< p < 0 case 2. p^3 >0 & (1-p^2)<0 => p > 1...

by shantanu86

Sun Apr 29, 2012 8:28 pm
Forum: Data Sufficiency
Topic: DS: Inequalities
Replies: 8
Views: 1622

Hi Shalabh, I'm not too sure if the question is within the scope of GMAT but then I see no reason why it shouldn't be analyzed :) In GMAT, or any other exam for that matter, one must restrict himself to the purview of information divulged by question. So, if in GMAT it says- 'If Messy scores goals t...

by shantanu86

Sun Apr 29, 2012 6:11 am
Forum: Data Sufficiency
Topic: Mary has qualified to become a police officer.
Replies: 7
Views: 1682

Mary has qualified to become a police officer. Has Albert qualified to become a police officer? 1)If Albert qualifies to become a police officer, then Mary will qualify to become a police officer. 2)If Albert does not qualify to become a police officer, then Mary will not qualify to become a police...

by shantanu86

Fri Apr 27, 2012 6:07 pm
Forum: Data Sufficiency
Topic: Mary has qualified to become a police officer.
Replies: 7
Views: 1682

I think each statement is enough. Hi jrakhe, Total population of T = 20,000 Total males = 8,000. Total females = 12,000 Let number of males born in town T = M Let number of females born in town T = F Now, for two variables we will need two *distinct* equations. Lets examine.. 1) The number of femal...

by shantanu86

Fri Apr 27, 2012 5:40 pm
Forum: Data Sufficiency
Topic: OG QR 2nd Ed. DS #63
Replies: 5
Views: 1875

The increase in unemployment rates, coupled with significantly increased retail prices as well as energy costs, are forcing many homeowners to look into alternative sources of fuel in order to save money on winter heating. A] unemployment rates, coupled with significantly increased retail prices as...

by shantanu86

Thu Apr 26, 2012 11:25 pm
Forum: Sentence Correction
Topic: Subjet verb SC!!!
Replies: 3
Views: 831