question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Options:
(A) 3
(B) 4
(C) 6
(D) 9
(E) 8
answer: Stream of consciousness: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted The answer is (A).

q: The inverse ratio of 6: 2: 1 is?
Options:
(A) 2:3:7
(B) 2:3:9
(C) 2:3:2
(D) 1:3:6
(E) 2:3:1
a: Stream of consciousness: 1/6: 1/2: 1/1 = 1:3:6 The answer is (D).

question: A train 70 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 140 sec
(B) 160 sec
(C) 176 sec
(D) 150 sec
(E) 170 sec
answer: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 70 * 2/35 = 140 sec The answer is (A).

q: In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is X equal to?
Options:
(A) 69.
(B) 71
(C) 73
(D) 75
(E) 76
a: Stream of consciousness: Graduates got job = 32
Graduates continued to second degree = 45
Graduates got job and continued to second degree = 13
Graduates didn't get job and didn't continue to second degree = 9
Job No Job Total
Second Degree 13 32 45
No Second Degree 19 9 28
Total 32 41 X
Therefore X = 73 The answer is (C).

question: A family with 1 mother, 1 father, and 4 children sit in a car with 2 front seats and 4 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other three children on either side of him, how many seating arrangements are possible?
Options:
(A) 3
(B) 4
(C) 6
(D) 24
(E) 10
answer: Stream of consciousness: Mother has a fixed place and father, so there are 4! ways to arrange the children, hence The answer is (D).

question: A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9 are wrong and the other digits are correct, then the correct answer would be:
Options:
(A) 553681
(B) 555181
(C) 555681
(D) 556581
(E) 556881
answer:
Stream of consciousness: 987 = 3 x 7 x 47
So, the required number must be divisible by each one of 3, 7, 47
553681->(Sum of digits = 28, not divisible by 3)
555181->(Sum of digits = 25, not divisible by 3)
555681 is divisible by 3, 7, 47 The answer is (C).