question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Options:
(A) 125786
(B) 158799
(C) 564323
(D) 344567
(E) 220030
answer: Stream of consciousness: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 The answer is (E).


q: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 22 sec
(B) 16 sec
(C) 77 sec
(D) 55 sec
(E) 17 sec
a: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec The answer is (B).


question: If 6x = 8y = 10z, then what is a possible sum of positive integers x, y, and z?
Options:
(A) 52
(B) 58
(C) 84
(D) 94
(E) 168
answer: Stream of consciousness: 6x = 8y = 10z
3x = 4y = 5z
3(4*5) = 4(3*5) = 5(3*4)
Addition = 20+15+12 = 47
Answer would be multiple of 47 which is 94 The answer is (D).


q: From the set of numbers x, y, t, z, p, q and w, how many different combinations can we have without the t and w in them? Ex:. (x,y), (x), (p,q,z,y,x), etc and (x,y)=(y,x)
Options:
(A) 10
(B) 14
(C) 15
(D) 16
(E) 30
a: Stream of consciousness: Another way: Any letter (x, y, z, p, q) can be included or not. So, we have 2^5 combinations - 2 empty combinations = 30 combinations The answer is (E).


question: A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men?
Options:
(A)  5/7
(B)  1/7
(C)  2/7
(D)  3/7
(E)  1/2
answer: Stream of consciousness: Total ways to choose 4 employees from 8 employees = 8C3
Two men = 5C2
Two women = 3C1
P = (5C2 * 3C1)/8C2 = 5/7 hence The answer is (A).


question: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 18 days
(B) 11 days
(C) 77 days
(D) 188 days
(E) 66 days
answer:
Stream of consciousness: 8/12 + 6/x = 1
X = 18 days The answer is (A).