Hi All, Help needed on these 2 questions below. Little explanation is actually needed. I have listed the answers below too. On a certain road, 10 percent of the motorists exceed the posted speed limit and receive speeding tickets, but 20 percent of the motorists who exceed the posted speed limit dont receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit? A.10.5% B.12.5% C.15% D.22% E. 30% Can anyone please explain the solution to this? I am not able to understand the data in the question. Answer is 12.5% 2. If d>0 and 0I.C>0 II.c/d III.c2 + d2 >1 A.I only B.II only C.I and II only D. II and III only E. I , II and III (I thought the option E is correct, but it is C. My reasoning : Whatever be the case, c2+d2 (C square+ d square) would always be greater than 1 because they are positives and addition of integers/real numbers) since 1-c/d is less than 1. Can anyone please explain?
Expln for Q2
III part
we Know from the first 2 condns that: 1>c/d>0 => 1>c2/d2>0 => 2> (c2+d2)/d2>1 => 2d2> (c2+d2)> d2
from this we see that the value of (c2+d2) will depend upon the value of d2 Now we also know that c1 and hence the value of c2+d2 cannot be always greater the 1.
we Know from the first 2 condns that: 1>c/d>0 => 1>c2/d2>0 => 2> (c2+d2)/d2>1 => 2d2> (c2+d2)> d2
from this we see that the value of (c2+d2) will depend upon the value of d2 Now we also know that c1 and hence the value of c2+d2 cannot be always greater the 1.
:neutral:
Mridul
Answer to Q1 is Let's say total number of motorists is X and total number who exceed spped limit is Y.We are looking for Y/X 10% receive speeding tickets. So total number of motorists received ticets is 0.1X Number of motorists who exceedded the speed but didnot get the ticket is 20%(of the total who exceedd the speed ) =0.2Y means remaining 80% got tickets So total number of motorists who exceed speed and got tickets is 0.8Y 0.1X=0.8Y Y/X=0.1/0.8=12.5%
good work, but if you had put up explanation it would have benefitted others as well.
the explanation goes as, there are seven possibilities that make up the 435 bags with possible values ranging from 0 to 435. R, P, A, R&P;, R&A;, P&A;, R&P;&A; are the possibilities. I hope you would be able to deduce what they mean since i am not illustrating it with a venn diagram. Let us assume P=x, then R= 10x and A=5x. Also R&P; = x/4. But it is given that the union of all, that is sum of all these seven possibilities is 435, while that of A, R&A;, P&A; and R&P;&A; is 210 hence subtracting gives R, P and R&P; together as 225. We know their values in terms of x and solving this linear equation gives x as 20. Now in terms of x the required quantity is 10x+x+5x, so 320. phew.............
Hi for type of questions draw venn daiagram. and write the enitire info in the circles itself.will be less confusing
hi everybody! just help me out with this question. a series of 12 consecutive integers , the least being -4. what is the range? my doubt regarding range is , is it the difference between maximum value and minimum value in which case the ans should be 7-(-4)=11, or is it diff between max absolute value and min absolute value , in which case it ll be 7-0=7 , or is it diff between absolute value of max number and absolute value of min number in which case the ans should be 7-4=3? however the ans turns out to be 6 according to gmat prep test. can anyone explain this?
hi everybody! just help me out with this question. a series of 12 consecutive integers , the least being -4. what is the range? my doubt regarding range is , is it the difference between maximum value and minimum value in which case the ans should be 7-(-4)=11, or is it diff between max absolute value and min absolute value , in which case it ll be 7-0=7 , or is it diff between absolute value of max number and absolute value of min number in which case the ans should be 7-4=3? however the ans turns out to be 6 according to gmat prep test. can anyone explain this?
I think the range shud be 11.. Just googled 'Range in Maths' and checked the following url(Check ex 2) The Range of a Set of Data
I encountered the following 3 questions in the current GMATPrep software. So please look no further in case you wish not to be pre-aquainted with the questions:
Any which way, I got the answers wrong. 😞 So I was hoping to get the solutions for these. Any help will be gratefully received.
1. A certain stock exchange designates each stock with a one-, two-, or a three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes? a. 2951 b. 8125 c. 15600 d. 16302 e. 18278 Correct Answer (e) ------------------------ For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100)+1, then p is? a. between 2 and 10 b. between 10 and 20 c. between 20 and 30 d. between 30 and 40 e. greater than 40 Correct Answer (e) ------------------------ If x > y2 > z4, which of the following statements could be true? (Note just in case the powers dont get pasted OK in the PG forum text-box here, the expression in the question is x greater than y squared greater than the 4th power of z) I. x > y > z II. z > y > x III. x > z > y a. I only b. I and II only c. I and III only d. II and III only e. I, II and III Correct Answer (e)
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The correct answer choice for all 3 questions is (e) as I learnt later from the software, but I was hoping to know the justification / steps to arrive at this as the GMATPrep software does not provide explanations for any Practice test answers. Many thanks. - TheToastedBread
I encountered the following 3 questions in the current GMATPrep software. So please look no further in case you wish not to be pre-aquainted with the questions:
Any which way, I got the answers wrong. 😞 So I was hoping to get the solutions for these. Any help will be gratefully received.
1. A certain stock exchange designates each stock with a one-, two-, or a three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes? a. 2951 b. 8125 c. 15600 d. 16302 e. 18278 Correct Answer (e) ------------------------ For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100)+1, then p is? a. between 2 and 10 b. between 10 and 20 c. between 20 and 30 d. between 30 and 40 e. greater than 40 Correct Answer (e) ------------------------ If x > y2 > z4, which of the following statements could be true? (Note just in case the powers dont get pasted OK in the PG forum text-box here, the expression in the question is x greater than y squared greater than the 4th power of z) I. x > y > z II. z > y > x III. x > z > y a. I only b. I and II only c. I and III only d. II and III only e. I, II and III Correct Answer (e)
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The correct answer choice for all 3 questions is (e) as I learnt later from the software, but I was hoping to know the justification / steps to arrive at this as the GMATPrep software does not provide explanations for any Practice test answers. Many thanks. - TheToastedBread
Q1 : 3 letetr options =26*26*26 2 letter words26*26 1 letter word 26 ans= 26.26.26+26.26+26=18278
Q3.If we read this question carefully, it was asked what could be true. not what must be true. If you can find a set of xyz for which both question and option1 is satisfied. similarly a set for question and option 2 and similarly for 3. All the 3 sets may different. for option 1 (18,4,1) for option 2 (1/4 ,1/3,1/2) option 3 (18,-4,-1)
Q2 was explained in this already by somebody. it can be written as 2*4*6....*100+1 = 2^50*1*2*3*4....50 +1 = (2^50*50!)+1 .So should be greated tahn 50. is the logic given .I did nt undderastand this .
Hi All, Perhaps a very fundamental question - In the GMAT world, is 0 (zero) considered to be a multiple of an integer? eg: Would GMAT agree to saying that 0 is a multiple of 5? Or that 0 is a multiple of 6? ??:
Q)A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one-gallon or half- gallon cans, what is the least amount of paint, in gallons, that must be purchased in order to measure out the portions needed for the mixture? (A) 2 (B)2.5 (C) 3 (D)3.5 (E) 4 Ans : B
Q)A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one-gallon or half- gallon cans, what is the least amount of paint, in gallons, that must be purchased in order to measure out the portions needed for the mixture?(A) 2 (B)2.5 (C) 3 (D)3.5 (E) 4 Ans : B
Simple question White needde= 2*3/8=0.75 Gallon = 1 gallon Can Black needed=2*5/8=1.25 gallon =1.5 Gallon can Total= 1.5+1=2.5 Gallon cans
Hi All, Perhaps a very fundamental question - In the GMAT world, is 0 (zero) considered to be a multiple of an integer? eg: Would GMAT agree to saying that 0 is a multiple of 5? Or that 0 is a multiple of 6? ??:
- TheToastedBread
well..yes....acc. to OG11, any integer y is a multiple of x provided y = xn where n is any integer in the set {...,-3,-2,-1,0,1,2,3,....}
hi everybody! just help me out with this question. a series of 12 consecutive integers , the least being -4. what is the range? my doubt regarding range is , is it the difference between maximum value and minimum value in which case the ans should be 7-(-4)=11, or is it diff between max absolute value and min absolute value , in which case it ll be 7-0=7 , or is it diff between absolute value of max number and absolute value of min number in which case the ans should be 7-4=3? however the ans turns out to be 6 according to gmat prep test. can anyone explain this?
Hi I encountered this question in Gmat prep and thought the answer was wrong but if u read the question again it says "Range of Positive Integers in the Set" which is 7-1= 6 This was an intended googly
Q1 : 3 letetr options =26*26*26 2 letter words26*26 1 letter word 26 ans= 26.26.26+26.26+26=18278
Q3.If we read this question carefully, it was asked what could be true. not what must be true. If you can find a set of xyz for which both question and option1 is satisfied. similarly a set for question and option 2 and similarly for 3. All the 3 sets may different. for option 1 (18,4,1) for option 2 (1/4 ,1/3,1/2) option 3 (18,-4,-1)
Q2 was explained in this already by somebody. it can be written as 2*4*6....*100+1 = 2^50*1*2*3*4....50 +1 = (2^50*50!)+1 .So should be greated tahn 50. is the logic given .I did nt undderastand this .
I think the logic given for Q2 is wrong . I thought on the same lines but it doesnt seem convincing enuf. Looks like more to justify the answer rather than arrive at the answer
When going through KAPLAN CAT I've come across question in DS one of the statements as 1 I answered the qustion using 2 n 3 as values for x and found that my answer is wrong. While goin thru the explanations i found that even 1 is being used as a sbstitue. Now I'm in a confusion. Am i to consider 1 Please replt ASAP coz I have my exam in less than a weeks time.
For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6-n points whenever one of its members finished in nth place, where 1 (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 ----------------------------------------------------------------------------------------------------
150, 200, 250, n
Which of the following could be the median of the 4 integers listed above?
I. 175 II. 215 III. 235
A. I only B. II only C. I and II only D. II and III only E. I, II, and III
if x^2 + 5y = 49, is y an integer? (1) 1 (2) x^2 is an integer.
EXPLANATION: You can rearrange the equation to read
5y = 49 - x^2, or y = (49-x^2)/5. y will be an integer if 49-x^2 is a multiple of 5. Statement 1 tells you that x is greater than 1, but less than 4. so 1 Statement 2 tells you that x^2 is an integer, which means 49-x^2 is an integer, but does not tell you if it is a multiple of 5. Eliminate answer (2). combining the statements gives you that x^2 is an integer between 1 and 16. This still does not help, since 49-x^2 could be a multiple of 5, say x^2=2, or may not be a multiple of 5, say if x^2=1.
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