Reasoning: Let's assume that a is an even prime integer and b is an odd prime integer, their subtraction results in an odd integer and an odd integer multiplied by an even integer yields an even integer.
Ans: (C)
Question: If a and b are unique prime integers, which of the following must be even?
Options:
(A) ab
(B) a2b
(C) 2a2b
(D) 2ab
(E) ab^2
Rationale: Distance traveled by Eddy = 570 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 570/3 = 190 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 = 190/75 = 38/15
The answer: (C)
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 570 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) 38/15
(D) 5/8
(E) 5/3
Reasoning: S = 160/18 * 18/5 = 32 kmph
Ans: (C)
Question: A 160 meter long train crosses a man standing on the platform in 18 sec. What is the speed of the train?
Options:
(A) 96 kmph
(B) 94 kmph
(C) 32 kmph
(D) 56 kmph
(E) 76 kmph
Rationale: Saving = (38-33)% of 36500 = 1825.
The answer: (A)
Question: If the personal income tax rate is lowered from 38% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36500?
Options:
(A) $1825
(B) $5000
(C) $3150
(D) $7000
(E) $10000
Reasoning: Any number multiplied by 2 has to be an even number
Ans: (C)
Question: If x and y are unique prime integers, which of the following must be even?
Options:
(A) xy
(B) x2y
(C) 2x2y
(D) 2xy
(E) xy^2
Reasoning: To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides
Ans: (A)
Question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
Options:
(A) 4
(B) 6
(C) 9
(D) 10
(E) 12