Reasoning: Hint: x^2-5 (x is an integer) is never multiple of 3 (try to prove this), hence 30 is out.
Ans: (E)
Question: For some integer x, x^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 41
(B) 38
(C) 29
(D) 31
(E) 30
Rationale: (9/120)/(3/30) = 3/4 = 75% it means that 9/120 represents only 75%. Therefore a decrease of 25%.
The answer: (C)
Question: A pharmaceutical company received $3 million in royalties on the first $30 million in sales of and then $9 million in royalties on the next $120 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $30 million in sales to the next $120 million in sales?
Options:
(A) 8%
(B) 15%
(C) 25%
(D) 52%
(E) 56%
Reasoning: P1 takes 12 hrs
Rate for P2P3 together = 1/20 + 1/20 = 1/10
Therefore they take 10
Ratio = 10/1 =
Ans: (D)
Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Options:
(A)  4/11
(B)  1/2
(C)  15/22
(D)  10/1
(E)  11/4
Rationale: Average score for first 4 rounds = 68
Average score after 5 rounds = 66
Score Scott needs on his 5th round to drop average score by 2 points = 68 - (2*5) = 58
The answer: (A)
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 68.What score does he need on his fifth round to drop his average score by 2 points?
Options:
(A) 58
(B) 72
(C) 78
(D) 88
(E) 312
Reasoning: The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 10/100 = 1/10
Three are independent;probability of rich and fair complexioned girl is:
(1/4) Ã—(1/5) Ã— (1/10) = 1/200
Ans: (A)
Question: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 10 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 1/200
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53
Reasoning: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2
Ans: (A)

Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:9
(C) 1:1
(D) 1:9
(E) 3:2
Reasoning: Hint: x^2-5 (x is an integer) is never multiple of 3 (try to prove this), hence 30 is out.
Ans: (E)
Question: For some integer x, x^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 41
(B) 38
(C) 29
(D) 31
(E) 30
Rationale: (9/120)/(3/30) = 3/4 = 75% it means that 9/120 represents only 75%. Therefore a decrease of 25%.
The answer: (C)
Question: A pharmaceutical company received $3 million in royalties on the first $30 million in sales of and then $9 million in royalties on the next $120 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $30 million in sales to the next $120 million in sales?
Options:
(A) 8%
(B) 15%
(C) 25%
(D) 52%
(E) 56%
Reasoning: P1 takes 12 hrs
Rate for P2P3 together = 1/20 + 1/20 = 1/10
Therefore they take 10
Ratio = 10/1 =
Ans: (D)
Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Options:
(A)  4/11
(B)  1/2
(C)  15/22
(D)  10/1
(E)  11/4
Rationale: Average score for first 4 rounds = 68
Average score after 5 rounds = 66
Score Scott needs on his 5th round to drop average score by 2 points = 68 - (2*5) = 58
The answer: (A)
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 68.What score does he need on his fifth round to drop his average score by 2 points?
Options:
(A) 58
(B) 72
(C) 78
(D) 88
(E) 312
Reasoning: The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 10/100 = 1/10
Three are independent;probability of rich and fair complexioned girl is:
(1/4) Ã—(1/5) Ã— (1/10) = 1/200
Ans: (A)
Question: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 10 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 1/200
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53
Reasoning: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2
Ans: (A)

user
Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:9
(C) 1:1
(D) 1:9
(E) 3:2
assistant
Reasoning: Hint: x^2-5 (x is an integer) is never multiple of 3 (try to prove this), hence 30 is out.
Ans: (E)
Question: For some integer x, x^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 41
(B) 38
(C) 29
(D) 31
(E) 30
Rationale: (9/120)/(3/30) = 3/4 = 75% it means that 9/120 represents only 75%. Therefore a decrease of 25%.
The answer: (C)
Question: A pharmaceutical company received $3 million in royalties on the first $30 million in sales of and then $9 million in royalties on the next $120 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $30 million in sales to the next $120 million in sales?
Options:
(A) 8%
(B) 15%
(C) 25%
(D) 52%
(E) 56%
Reasoning: P1 takes 12 hrs
Rate for P2P3 together = 1/20 + 1/20 = 1/10
Therefore they take 10
Ratio = 10/1 =
Ans: (D)
Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Options:
(A)  4/11
(B)  1/2
(C)  15/22
(D)  10/1
(E)  11/4
Rationale: Average score for first 4 rounds = 68
Average score after 5 rounds = 66
Score Scott needs on his 5th round to drop average score by 2 points = 68 - (2*5) = 58
The answer: (A)
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 68.What score does he need on his fifth round to drop his average score by 2 points?
Options:
(A) 58
(B) 72
(C) 78
(D) 88
(E) 312
Reasoning: The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 10/100 = 1/10
Three are independent;probability of rich and fair complexioned girl is:
(1/4) Ã—(1/5) Ã— (1/10) = 1/200
Ans: (A)
Question: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 10 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 1/200
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53
Reasoning: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2
Ans: (A)

Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:9
(C) 1:1
(D) 1:9
(E) 3:2