q: A 21 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 12
(B) 6
(C) 88
(D) 77
(E) 14
a: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 21 = 6 The answer is (B).


question: The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed and upstream?
Options:
(A) 30 kmph
(B) 40 kmph
(C) 78 kmph
(D) 15 kmph
(E) 23 kmph
answer: Stream of consciousness: Speed downstream = 50 + 20 = 70 kmph
Speed upstream = 50 - 20 = 30 kmph The answer is (A).


q: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 22 kmph
(B) 40 kmph
(C) 20 kmph
(D) 15 kmph
(E) 23 kmph
a: Stream of consciousness: Speed downstream = 40 + 20 = 60 kmph
Speed upstream = 40 - 20 = 20 kmph The answer is (C).


question: In how many ways can you seat 5 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Options:
(A) 720
(B) 1720
(C) 48
(D) 5040
(E) 10080
answer: Stream of consciousness: Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 2 chairs to sit. The remaining 4 people can sit in 4! ways. Thus the # of arrangements is 2*4! = 48. The answer is (C).


q: The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 40, 68 kmph
(B) 40, 30 kmph
(C) 70, 30 kmph
(D) 40, 60 kmph
(E) 20, 60 kmph
a: Stream of consciousness: Speed downstream = 50 + 20 = 70 kmph
Speed upstream = 50 - 20 = 30 kmph The answer is (C).


q: In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Options:
(A) 200
(B) 1680
(C) 240
(D) 250
(E) 260
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: 8p4 = 8 X 7 Ã— 6 Ã— 5 = 1680 The answer is (B).