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 1/8
(B) 7 1/6
(C) 7 1/5
(D) 7 1/2
(E) 7 1/1
Reasoning: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
Ans: (E)
Question: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 3452
(B) 2343
(C) 2435
(D) 2578
(E) 5184
Rationale: 420/10 = 42 The difference is 42 - 35 = 7.
The answer: (D)
Question: A certain car uses 12 gallons of gasoline in traveling 420 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car's gas mileage be increased?
Options:
(A) 2
(B) 4
(C) 6
(D) 7
(E) 10
Reasoning: Maximum points of intersection between n different circles = n*(n - 1) = 5*4 = 20
Ans: (A)
Question: There are different 5 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 20
(B) 10
(C) 15
(D) 22
(E) 21
Rationale: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6
The answer: (C)
Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 2
(B) 3
(C) 6
(D) 8
(E) 9
Rationale: Let the distance covered by the taxi be 'x' km. Then, distance covered by bus = (60 x) km. 20x + 10 (60 x)20x + 600 10x = 800 10x = 200 x = 20 km. He traveled 20 km by taxi.
The answer: (E)
Question: If man pays 20 for each km which he travels by taxi
and 10 for each km which he travels by bus. If in one
week he payed 800 for traveling 60 km. How many kilometers did he travel by taxi ?
Options:
(A) 23
(B) 78
(C) 27
(D) 29
(E) 20