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) 124345
(B) 234545
(C) 165767
(D) 144656
(E) 220030
answer: Stream of consciousness: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 The answer is (E).

q: Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 15 km/hr downstream and 7 km/hr upstream.
Options:
(A) 12 kmph
(B) 13 kmph
(C) 14 kmph
(D) 15 kmph
(E) 11 kmph
a: Stream of consciousness: Speed in still water = (15 + 7)1/2 kmph = 11 kmph. The answer is (E).

question: The speed of a boat in still water is 60kmph and the speed of the current is 40kmph. Find the speed downstream and upstream?
Options:
(A) kmph
(B) kmph
(C) kmph
(D) kmph
(E) kmph
answer: Stream of consciousness: Speed downstream = 60 +40 = 100 kmph
Speed upstream = 60 - 40 = 20 kmph The answer is (D).

q: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2456
(B) 3456
(C) 4578
(D) 4290
(E) 5184
a: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

question: Solve:-
222 x 222 x 222 + 555 x 555 x 555 = ?(222 x 222 - 222 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 777
answer: Stream of consciousness: Given Exp. = (a3 + b3) = (a + b) = (222 + 555) = 777(a2 - ab + b2) The answer is (E).

question: Find a a prime number the options below.
Options:
(A) 78
(B) 80
(C) 81
(D) 82
(E) 83
answer:
Stream of consciousness: Clearly, 83 is a prime number. The answer is (E).