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On a certain scale of intensity, each increment of 10 in mag [#permalink]

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05 Oct 2009, 09:14

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1) On a certain scale of intensity, each increment of 10 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 165 is how many times an intensity corresponding to a magnitude of 125? (A) 40 (B) 100 (C) 400 (D) 1,000 (E) 10,000

2) Harry started a 6-mile hike with a full 10-cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 3 cups of water during the last mile, how many cups did he drink per mile during the first 5 miles of the hike? (A) 4/5 (B) 5/6 (C) 1 (D) 6/5 (E) 5/4

3) Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4 ,1/2 , and 5/8 , respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem ? (A) 11/8 (B) 7/8 (C) 9/64 (D) 5/64 (E) 3/64

2) Total cups of water = 10 Less water remaining at the end = -1 Less water leaked in 2 hrs = -2 Less water consumed in last mile = -3 Water consumed during first 5 miles = 4 Water consumed per mile = 4/5.

Answer A

3) probability that Xavier will solve the problem = 1/4 and Yvonne will solve the problem = 1/2*1/4 and Zeld won't solve the problem = 3/8*1/2*1/4 = 3/64

1) On a certain scale of intensity, each increment of 10 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 165 is how many times an intensity corresponding to a magnitude of 125? (A) 40 (B) 100 (C) 400 (D) 1,000 (E) 10,000 125 X 165 10000X Ans E.

2) Harry started a 6-mile hike with a full 10-cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 3 cups of water during the last mile, how many cups did he drink per mile during the first 5 miles of the hike? (A) 4/5 (B) 5/6 (C) 1 (D) 6/5 (E) 5/4 10-1-2-3=4cups 4/5 per mile ans A.

3) Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4 ,1/2 , and 5/8 , respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem ? (A) 11/8 (B) 7/8 (C) 9/64 (D) 5/64 (E) 3/64

1/4 * 1/2 * 3/8 = 3/64 E ans.
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1) On a certain scale of intensity, each increment of 10 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 165 is how many times an intensity corresponding to a magnitude of 125? (A) 40 (B) 100 (C) 400 (D) 1,000 (E) 10,000

2) Harry started a 6-mile hike with a full 10-cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 3 cups of water during the last mile, how many cups did he drink per mile during the first 5 miles of the hike? (A) 4/5 (B) 5/6 (C) 1 (D) 6/5 (E) 5/4

3) Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4 ,1/2 , and 5/8 , respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem ? (A) 11/8 (B) 7/8 (C) 9/64 (D) 5/64 (E) 3/64