Reasoning: (10/100)Workers = 16 = > number of workers = 160
(50/100)*Workers = x+16 = > x = 8
Ans: (A)
Question: In an office, 50 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A) 8
(B) 64
(C) 50
(D) 144
(E) 160
Rationale: (2^(47/46))/47 = 2^1/47 = 2
The answer: (A)
Question: Remainder of 2^47/47 ?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Reasoning: A square and a rhombus on the same base are equal in are
Ans: (A)
Question: If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is?
Options:
(A) 1:1
(B) 1:2
(C) 1:9
(D) 1:6
(E) 1:4
Rationale: Distance traveled by Eddy = 900 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 900/3 = 300 km/hour
Distance traveled by Freddy = 300 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 300/4 = 75 km/hour
Ratio of average speed of Eddy to Freddy = 300/75 = 4/1
The answer: (D)
Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 900 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 8/3
(B) 3/8
(C) 8/5
(D) 4/1
(E) 5/3
Reasoning: Clearly, 59 is a prime number.
Ans: (B)
Question: Find a a prime number from the options below.
Options:
(A) 58
(B) 59
(C) 60
(D) 62
(E) 64
Reasoning: The ratio is 2:3 = gym:ride, so (10)(3/2) = 15 minutes at the gym, and 15 + 10 = 25 minutes exercise, so (2/3)(25) = 17 minutes yoga.
Ans: (C)
Question: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 10 minutes, how much time will she spend doing yoga? (rounded to minutes)
Options:
(A) 10 min.
(B) 41 min.
(C) 17 min.
(D) 23 min.
(E) 25 min.