queborg Posted June 25, 2008 Share Posted June 25, 2008 1 In the xy-plane, line n passes through the origin and has slope 4. If points (1, c) and (d, 2) are on line n, what is the value of c/d ? A.0.25 B.0.5 C.2 D.4 E.8 2 The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ? A. 15% B. 20% C. 40% D. 50% E.150% 3 If d = 1 / 2^3 * 5^7 is expressed as a terminating decimal, how many nonzero digits will d have? A.One B.Two C.Three D.Seven E.Ten 4 If M is the least common multiple of 90, 196, and 300, which of the following is NOT a factor of M ? A. 600 B. 700 C. 900 D.2,100 E.4,900 thanks a ton Quote Link to comment Share on other sites More sharing options...
onthego Posted July 13, 2008 Share Posted July 13, 2008 1) y = mx + s (where m is the slope and s is constant) y = 4x + s 0 = 4(0) + s (since this passes through origin) => s=0 y=4x is the equation substituting values of 2 coordinates in this eq. c=4(1) ----eq1 2=4(d) => d = 1/2 ----eq2 dividing eq1 and eq2 c/d=8 2) Let rate in R = x => rate in P = .75x ----1 Let rate in G = y => rate in P = .9y ------2 equating 1 n 2 .75x=.9y or x = 1.2 y so rate in Hotel R is 20% more than G Quote Link to comment Share on other sites More sharing options...
onthego Posted July 13, 2008 Share Posted July 13, 2008 3) I am not sure if this d = 1 / 2^3 * 5^7 means d = 1 /( 2^3 * 5^7) or this means d = 5^7/ 2^3? If its the first one. 1/(2^3 * 5^3 * 5^4) 1/(10^3*5^4) multiplying num and den by 10^4 10^4/(10^7*5^4) (10/5)^4/(10^7) or 2^4/10^7 so it has 7 decimal digits 4) Finding LCM of 90, 196 and 300 => 9 * 25 * 49 * 4 => 9 * 49 * 100 so 600 is not a factor Quote Link to comment Share on other sites More sharing options...
gmatcraze Posted July 23, 2008 Share Posted July 23, 2008 3) I am not sure if this d = 1 / 2^3 * 5^7 means d = 1 /( 2^3 * 5^7) or this means d = 5^7/ 2^3? If its the first one. 1/(2^3 * 5^3 * 5^4) 1/(10^3*5^4) multiplying num and den by 10^4 10^4/(10^7*5^4) (10/5)^4/(10^7) or 2^4/10^7 so it has 7 decimal digits The question asks for non-zero digits, so how can we conclude that there are 7 decimal digits since these 7 digits are inclusive of zero? Isn't the answer 1?? What is the OA? Quote Link to comment Share on other sites More sharing options...
shahdevine Posted July 24, 2008 Share Posted July 24, 2008 2. Given: P=.75R P=.9G Step 1: Set equations equal and find ratio of R to G .75R=.9G 90/75=R/G R/G=1.2/1 .2 equals excess that R is greater than G --> 20% B Quote Link to comment Share on other sites More sharing options...
chimerical Posted July 28, 2008 Share Posted July 28, 2008 The question asks for non-zero digits, so how can we conclude that there are 7 decimal digits since these 7 digits are inclusive of zero? Isn't the answer 1?? What is the OA? It simplifies to 16/(10^7) so there should be two non-zero digits. Quote Link to comment Share on other sites More sharing options...
gmatcraze Posted August 14, 2008 Share Posted August 14, 2008 It simplifies to 16/(10^7) so there should be two non-zero digits. I agree, there should be two non-zero digits .... can somebody else also help to confirm on this solution. Thanks. Quote Link to comment Share on other sites More sharing options...
winna.7 Posted August 17, 2008 Share Posted August 17, 2008 agree with chimerical.. Solving , we get 16*10power-7 . so the answer should be 2.. Quote Link to comment Share on other sites More sharing options...
gmatcraze Posted August 25, 2008 Share Posted August 25, 2008 3) 4) Finding LCM of 90, 196 and 300 => 9 * 25 * 49 * 4 => 9 * 49 * 100 so 600 is not a factor How did you determine that 600 is not a factor ?:hmm: Quote Link to comment Share on other sites More sharing options...
gmataug08 Posted September 1, 2008 Share Posted September 1, 2008 How did you determine that 600 is not a factor ?:hmm: LCM : 9 x 100 x 49 can be rephrased as 9 x 100 x 7 x 7 -> 700 is a valid factor can be rephrased as 9 x 100 x 49 -> 900 is a valid factor can be rephrased as 3 x 3 x 100 x 7 x 7 -> 2100 is a valid factor can be rephrased as 9 x 100 x 49 -> 4900 is a valid factor can't be rephrased similarly for 600 , hence 600 is the answer Quote Link to comment Share on other sites More sharing options...
gunestopcu Posted September 5, 2008 Share Posted September 5, 2008 3. 16*10^-7 means 0,0000016 and "any decimal that has only a finite number of nonzero digits is a terminating decimal. for example, 24, 0.82, and 5.096 are three terminating numbers." according to this info the answer is 7 Quote Link to comment Share on other sites More sharing options...
onthego Posted September 6, 2008 Share Posted September 6, 2008 I agree. I think by non-zero digits, it is referring to the decimal part so it should be seven. 3. 16*10^-7 means 0,0000016 and "any decimal that has only a finite number of nonzero digits is a terminating decimal. for example, 24, 0.82, and 5.096 are three terminating numbers." according to this info the answer is 7 Quote Link to comment Share on other sites More sharing options...
bose Posted September 24, 2008 Share Posted September 24, 2008 imo E,B,B,A if any one needs expln let me know Quote Link to comment Share on other sites More sharing options...
deeksha Posted September 26, 2008 Share Posted September 26, 2008 the answer for the third one should be two as there are two non zero digit numbers.. 1 and 6 so the answers have to be ..E B B A Quote Link to comment Share on other sites More sharing options...
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