q: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Options:
(A) 20 Kmph
(B) 15 Kmph
(C) 30 Kmph
(D) 32 Kmph
(E) 34 Kmph
a: Stream of consciousness: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph The answer is (B).

question: A password for a computer is six digits from 0 and 9. The six digit number is a prime number. What is the approximate probability that the last digit is a 3?
Options:
(A) 1/4
(B) 1/6
(C) 1/10
(D) 1/20
(E) 1/50
answer: Stream of consciousness: If the last digit is 0, 2, 4, 6, or 8, the number is even and therefore not prime. If the last digit is 5, the number is divisible by 5 and therefore not prime. The only possibilities are 1, 3, 7, and 9. So the probability is approximately 1/4 (answer A). We say approximately because there is a certain degree of randomness in the distribution of prime numbers. The answer is (A).

q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 80 as remainder. Find the no. is?
Options:
(A) 220880
(B) 145778
(C) 220081
(D) 220080
(E) 220030
a: Stream of consciousness: (555 + 445) * 2 * 110 + 80 = 220000 + 80 = 220080 The answer is (D).

question: In a locality, the prevailing price of a 700 square feet property last year was US Dollar 1000. The owner made some additions and the 900 square feet property is now fetching a price of US Dollar 1500. By approximately what percent did the ratio of price to size increase from the previous year's price?
Options:
(A) 12
(B) 14
(C) 17
(D) 21
(E) 19
answer: Stream of consciousness: Initial price/area ratio = 1000/700 = 9000/6300
Revised mileage/weight ratio = 1500/900 = 10500/6300 The answer is (C).

q: If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be
Options:
(A) 2
(B) 5
(C) 6
(D) 7
(E) 14
a: Stream of consciousness: 3150*y = A^2
3 * 1050 * y = A^2
3*5*210*y = A^2
3*5*7*3*2*5*y = A^2
2*3^2*5^2*7*y = A^2
Concept: The factors of squared integer should occur in pair. So, the only numbers left are 2*7
Hence 14 ; The answer is (E).

q: Find the largest 3 digit number which is exactly divisible by 88?
Options:
(A) 765
(B) 907
(C) 944
(D) 954
(E) 968
a:
Stream of consciousness: Largest 3 digit number is 999
After doing 999 88 we get remainder 31
Hence largest 3 digit number exactly divisible by 88 = 999 - 31 = 968 The answer is (E).