q: If six persons sit in a row, then the probability that three particular persons are always together is ?
Options:
(A) 1/6
(B) 1/2
(C) 1/5
(D) 1/2
(E) 1/1
a: Stream of consciousness: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5 The answer is (C).


question: A no.when divided by 142 gives a remainder 110, what remainder will be obtainedby dividingthe same no.14?
Options:
(A) 16
(B) 17
(C) 18
(D) 19
(E) 20
answer: Stream of consciousness: 142 + 110 = 252/14 = 18 (Remainder) The answer is (C).


q: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
(A) 17 1/4 min
(B) 28 1/7 min
(C) 17 1/7 min
(D) 17 1/8 min
(E) 17 5/7 min
a: Stream of consciousness: 1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7 The answer is (C).


question: 3 candidates in an election and received 3136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?
Options:
(A) 45%
(B) 49%
(C) 52%
(D) 59%
(E) 61%
answer: Stream of consciousness: Total number of votes polled = (3136 + 7636 + 11628) = 22400
So, Required percentage = 11628/22400 * 100 = 52% The answer is (C).


q: Which of the following numbers is divisible by 12?
Options:
(A) 1332
(B) 1021
(C) 3221
(D) 4211
(E) 3233
a: Stream of consciousness: 1332. This is the only option with last two digits divisible by 12 The answer is (A).


q: A no.when divided by 220 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Options:
(A) 2
(B) 8
(C) 9
(D) 11
(E) 15
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: 220 + 43 = 263/17 = 8 (Remainder) The answer is (B).