Reasoning: Distance traveled by Eddy = 600 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 600/3 = 200 km/hour
Distance traveled by Freddy = 360 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 360/4 = 90 km/hour
Ratio of average speed of Eddy to Freddy = 200/90 = 20/9
Ans: (E)
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 600 kms and City A and City C is 360 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 8/3
(B) 3/8
(C) 8/5
(D) 5/8
(E) 20/9
Rationale: Number of ways = 6!/2!2! = 6X5X4X3X2X1/2X1X2X1 = 180
The answer: (B)
Question: In how many different ways can the letters of the word 'EXTENT' be arranged?
Options:
(A) 250
(B) 180
(C) 300
(D) 310
(E) 360
Reasoning: Each of the numbers except 66 is multiple of 5.
Ans: (C)
Question: Find the odd man out.10, 25, 45, 50, 66, 70, 80
Options:
(A) 45
(B) 50
(C) 66
(D) 70
(E) 80
Rationale: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec
The answer: (D)
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 7 1/2 sec
(B) 7 1/7 sec
(C) 7 8/2 sec
(D) 7 1/9 sec
(E) 7 2/2 sec
Reasoning: 252 = 2 x 2 x 3 x 3 x 7.
Ans: (A)
Question: 252 can be expressed as a product of primes as :
Options:
(A) 2 x 2 x 3 x 3 x 7
(B) 2 x 2 x 2 x 3 x 7
(C) 3 x 3 x 3 x 3 x 7
(D) 2 x 3 x 3 x 3 x 7
(E) 2 x 3 x 7 x 3 x 2
Reasoning: 1/15 + 1/25 = 8/75
75/8 = 9 3/8 days
Ans: (C)
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Options:
(A) 3 4/9 days
(B) 8 4/9 days
(C) 9 3/8 days
(D) 6 3/8 days
(E) none of these