question: 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) kmph
(B) kmph
(C) kmph
(D) kmph
(E) kmph
answer: Stream of consciousness: Speed downstream = 40 + 20 = 60 kmph
Speed upstream = 40 - 20 = 20 kmph The answer is (B).

q: Find the smallest number which should be multiplied with 13225 to make it a perfect square.
Options:
(A) 25
(B) 5
(C) 1
(D) 23
(E) 6
a: Stream of consciousness: 13225 = 5*5*23*23
Required smallest number = 1
1 is the smallest number which should be multiplied with 13225 to make it a perfect square. The answer is (C).

question: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Options:
(A) 2 1/0
(B) 2 1/8
(C) 2 1/5
(D) 2 1/3
(E) 2 1/2
answer: Stream of consciousness: Required time = (5 1/4)/3 + (5 1/4)/7 = 2 1/2 hours. The answer is (E).

q: Interest Rate: 4% monthly Starting Balance: 124 Time Passed: 4 months How much interest has accrued if calculated as compound interest? What is the new total balance?
Options:
(A) 21 & 145
(B) 22 & 146
(C) 23 & 145
(D) 20 & 140
(E) None
a: Stream of consciousness: Compound Interest: Total Balance = P(1 + R)T P = principle = starting balance = $124 R = interest rate = 4% T = time = 4 years Total balance = principle (1 + interest rate)time = 124 (1 + (4 / 100))4 = 145 Interest accrued = total balance - starting balance = 145 - 124 = 21 The answer is (A).

question: If n is an integer, then the least possible value of |48 - 7n| is?
Options:
(A) 1
(B) 0
(C) 5
(D) 4
(E) 2
answer: Stream of consciousness: |48 - 7n| represents the distance between 48 and 7n on the number line. Now, the distance will be minimized when 7n, which is multiple of 7, is closest to 48. Multiple of 7 which is closest to 48 is 49 (for n = 7), so the least distance is 1: |48 - 49| = 1. The answer is (A).

question: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 4 days. In how many days can they complete the remaining work?
Options:
(A) 6 days
(B) 2/3 days
(C) 8 days
(D) 3 days
(E) 9 days
answer:
Stream of consciousness: Work done by A in 4 days = 4/5
Remaining work = 1/5
Work done by both A and B in one day = 1/5 + 1/10 = 3/10
Remaining work = 1/5 * 10/3 = 2/3 days. The answer is (B).