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Each of the following equations has at least one solution EXCEPT A. -2^n = (-2)^-n B. 2^-n = (-2)^n C. 2^n = (-2)^-n D. (-2)^n = -2^n E. (-2)^-n = -2^-n OA A How to approach these questions (A) -2^n is always negative for all values of n, while (-2)^-n is positive for even values and negative for o...
- by vishal.pathak
Tue Apr 03, 2012 4:18 am- Forum: Problem Solving
- Topic: Solution of an equation
- Replies: 3
- Views: 1068
Solution of an equation
Each of the following equations has at least one solution EXCEPT
A. -2^n = (-2)^-n B. 2^-n = (-2)^n C. 2^n = (-2)^-n D. (-2)^n = -2^n E. (-2)^-n = -2^-n
OA A
How to approach these questions
- by vishal.pathak
Tue Apr 03, 2012 3:11 am- Forum: Problem Solving
- Topic: Solution of an equation
- Replies: 3
- Views: 1068
For Statement 1, if x is .4546, then it will round to .455. If we round to the nearest hundredth, then it is .45. If x is .4551, it rounds to .455 as well. If we round to the nearest hundredth, however, it would be .46. Since we can get two different values, S1 is insufficient. S2 is more or less m...
- by vishal.pathak
Sun Apr 01, 2012 9:26 am- Forum: Problem Solving
- Topic: GMAT's rounding algorithm
- Replies: 4
- Views: 1376
GMAT's rounding algorithm
Hi All, What rounding algorithm is used in GMAT What is the result when x is rounded to the nearest hundredth? (1) When x is rounded to the nearest thousandth the result is 0.455 (2) The thousandths digit of x is 5 I thought 5 or greater is rounded up and the 0-4 are rounded down. So IMO A, OA is C
- by vishal.pathak
Sun Apr 01, 2012 8:27 am- Forum: Problem Solving
- Topic: GMAT's rounding algorithm
- Replies: 4
- Views: 1376
An easy way to solve this more quickly is to realize that any square we can find for one quadrant will have a a corresponding square for each other quadrant. If we focus only on squares that lie predominantly in quadrant 1, we can find 3: 1) (0,0) (10,0) (10,10) (0,10) 2) (0,0) (8,6) (2,14) (-6,8) ...
- by vishal.pathak
Sun Apr 01, 2012 3:58 am- Forum: Problem Solving
- Topic: Manhattan CAT
- Replies: 22
- Views: 4651
|x+2|=|y+2| what is the value of x+y? (1) xy<0 If the product is negative, then one of our variables is positive and the other is negative. If x=4, then y=-8. 4 + -8= -4. If x=-8, then y=4. -8 + 4 = -4. Sufficient since we get the same value each time. (2) x>2 y<2 Our first example from statement 1...
- by vishal.pathak
Sat Mar 31, 2012 8:51 am- Forum: Data Sufficiency
- Topic: modulus
- Replies: 2
- Views: 912
modulus
|x+2|=|y+2| what is the value of x+y?
(1) xy<0
(2) x>2 y<2
OA not available
Is |x+y|>|x-y|?
(1) |x| > |y|
(2) |x-y| < |x|
OA not available
- by vishal.pathak
Sat Mar 31, 2012 6:33 am- Forum: Data Sufficiency
- Topic: modulus
- Replies: 2
- Views: 912
Why am I not able to apply the allegation in the following question A certain military vehicle can run on pure Fuel X, pure Fuel Y, or any mixture of X and Y. Fuel X costs $3 per gallon; the vehicle can go 20 miles on a gallon of Fuel X. In contrast, Fuel Y costs $5 per gallon, but the vehicle can ...
- by vishal.pathak
Tue Mar 27, 2012 9:52 pm- Forum: Problem Solving
- Topic: Mixtures allegation
- Replies: 7
- Views: 1672
Why am I not able to apply the allegation in the following question A certain military vehicle can run on pure Fuel X, pure Fuel Y, or any mixture of X and Y. Fuel X costs $3 per gallon; the vehicle can go 20 miles on a gallon of Fuel X. In contrast, Fuel Y costs $5 per gallon, but the vehicle can ...
- by vishal.pathak
Tue Mar 27, 2012 5:22 am- Forum: Problem Solving
- Topic: Mixtures allegation
- Replies: 7
- Views: 1672
Mixtures allegation
2 vessels contain mixture of spirit and water. 1st vessel s:w = 8:3, 2nd 5:1. 35 litre flask contains in the ratio 4:1. How many litres were taken from 1st vessel [spoiler]Ans: 11[/spoiler] Participation in soccer league is 10% higher this year. Participation of men increased by 5% and that of women...
- by vishal.pathak
Tue Mar 27, 2012 1:46 am- Forum: Problem Solving
- Topic: Mixtures allegation
- Replies: 7
- Views: 1672
It seems like everyone has already replied to this thread, but I thought I'd just drop my two cents anyhow :). (A) Not the answer (A) doesn't work because the prompt simply says that wolves CAN double their numbers. It doesn't mean that they always do, even in suitable areas (from the prompt we lea...
- by vishal.pathak
Mon Mar 26, 2012 3:00 pm- Forum: Critical Reasoning
- Topic: Wolves
- Replies: 78
- Views: 36764
Hi Chris, I was all for picking (B) until I read the part.... when the record of that care is not available . We don't know the number of patients for whom the record of care was not available....It could be only 2 patients or 1000, who knows? A bigger number would definitely have a significant imp...
- by vishal.pathak
Mon Mar 26, 2012 2:52 pm- Forum: Critical Reasoning
- Topic: Medical researcher
- Replies: 3
- Views: 1495
letters of the word ‘COMPUTER’
In how many ways can the letters of the word ‘COMPUTER’ be arranged such that vowels occupy even position. [spoiler]If your answer is 4*3*3*2*2*1 then I will want to ask you that why are we not considering the arrangement of consonants. For every arrangement of vowels, we will have 5! arrangemen...
- by vishal.pathak
Mon Mar 26, 2012 3:38 am- Forum: Problem Solving
- Topic: letters of the word ‘COMPUTER’
- Replies: 2
- Views: 1491
The argument claims that humans, regardless of their respective culture, are born predisposed to certain musical intervals. The evidence: six-month old babies have a predilection for 4ths, 5ths, and octaves. We are looking to strengthen this claim. One way of looking at a STRENGTHEN question is tha...
- by vishal.pathak
Mon Mar 26, 2012 1:17 am- Forum: Critical Reasoning
- Topic: six-month old babies
- Replies: 17
- Views: 3657
Medical researcher
Medical researcher: As expected, records covering the last four years often major hospitals indicate that babies born prematurely were more likely to have low birth weights and to suffer from health problems than were babies not born prematurely. These records also indicate that mothers who had rece...
- by vishal.pathak
Mon Mar 26, 2012 12:17 am- Forum: Critical Reasoning
- Topic: Medical researcher
- Replies: 3
- Views: 1495