Reasoning: 221 + 43 = 264/17 = 9 (Remainder)
Ans: (C)
Question: A no.when divided by 221 gives a remainder 43, what remainder will be obtainedby dividingthe same no.17?
Options:
(A) 3
(B) 6
(C) 9
(D) 11
(E) 14
Rationale: S = 140/6 * 18/5 = 84kmph
The answer: (C)
Question: A 140 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 228
(B) 108
(C) 84
(D) 188
(E) 211
Reasoning: 216^10 = (6^3)^10 = 6^30
Ans: (E)
Question: What is the greatest positive integer x such that 6^x is a factor of 216^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30
Rationale: Let B be turned off after x minutes. Then, Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1. x(2/75 + 1/45) + (30 - x). 2/75 = 1 11x/225 + (60 - 2x)/75 = 1 11x + 180 - 6x = 225. x = 9.
The answer: (A)
Question: Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
Options:
(A) 9 minutes
(B) 7
(C) 6
(D) 5
(E) 4
Reasoning: First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;
The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;
We can see the patterns here, so the sum of first 100 positive even integers minus the sum of first 100 positive odd integers will be 100.
Ans: (E)
Question: If X is the sum of first 100 positive even integers and Y is the sum of first 100 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 0
(B) 25
(C) 50
(D) 75
(E) 100
Reasoning: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min
Ans: (A)
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 5 min
(C) 6 min
(D) 8 min
(E) 10 min