Reasoning: Answer = A. 20 miles
Relational speed = 110 - 100 = 10 miles per hour
In 6 hours, difference = 10 * 6 = 60 miles
Fast train trailing 40 miles, so effective difference = 60 - 40 = 20 miles
Ans: (A)
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 110 miles per hour, while the slower train travels at 100 miles per hour. At 1 o'clock the faster train is 40 miles behind the slower one. How far apart are the two trains at 7 o'clock?
Options:
(A) 20 miles
(B) 80 miles
(C) 90 miles
(D) 120 miles
(E) 400 miles
Rationale: I think answer on this one should be C too. Since we know that 14^7>16^4, as Will said one should always check if the number is positive.
The answer: (C)
Question: What is the units digit of the expression 14^716^4?
Options:
(A) 0
(B) 3
(C) 8
(D) 6
(E) 4
Reasoning: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.
Ans: (C)
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 13
(B) 18
(C) 40
(D) 37
(E) 25
Rationale: Formula = Third proportional = (b b)/a
A = 2 and B = 10
(10 10)/ 2 = 100/2 = 50
The answer: (E)
Question: Find the third proportional to 2 and 10?
Options:
(A) 10
(B) 12
(C) 16
(D) 19
(E) 50
Reasoning: Principal = (100 * 5400) / (12 * 3) = Rs. 15000
Ans: (C)
Question: A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
Options:
(A) 3887
(B) 2768
(C) 15000
(D) 76887
(E) 16711
Reasoning: Simple interest = (18000 * 4 * 15)/100 = Rs. 10800
Amount = P + I = 18000 + 10800 = Rs. 28800
Ans: (D)
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Options:
(A) 29893
(B) 27773
(C) 29989
(D) 28800
(E) 29883