102. Trains leave from New York to Washington every hour on the hour(1:00,2:00….).Trains leave from Washington to New York every hour on the hour and half hour(1:00,1:30,2:0,2:30….).It takes a train 5 hrs to complete its journey from Washington to New York as well as from new york to washington.A train leaves from new york to washington. Find
out how many trains it will meet before it reaches washington

Ans:

19 or 21

103. In a class there are less than 500 students . when it is divided by 3 it gives a whole number. similarly when it is divided by 4,5 or 7 gives a whole number.find the no. of students in the class

Ans:

420

104. Uncle reuben and aunt cynthia came to town to shop reuben bought a suit and hat for $15
cynthia paid as much as for her hat as reuben did for his suit then she spent the rest of their
money for a new dress on the way home cynthia called reuben’s attention to the fact that his hat
cost $1 more than her dress then she added if we had divided our hat money differently so that
we bought different hats mine costing 1 and 1/2 time cost if yours then we each would have spent the same amount of money in that case said uncle reuben “how much would my hat have cost” .

Uncles hat costs $6.4 (total money was $29)

105. a man while sorting files picks up file number one,misses one, picks up file no. 2,mises two files,and so on…after that he found that he picked up 5% of the files. How many files were there?

39

106. A man walks at 4 km/hr on plain, then at 3 km/hr uphill and then returns through the same road at 6 km/hr downhill and at 4 km/hr on the plain. It takes altogether 6 hours. So what distance he covered in one way?

Ans:

12 km
Solution: Let plain road = x km
And hill road = y km
? x/4 + y/3 + y/6 + x/4 = 6
? x/2 + y/2 = 6
? x + y =12

107. A person sells 2 items for Rs. 12 each. For one he profits 25% and for the other he losses 20%. Altogether did he loss or gain? And by how much?

Ans:

He losses by 60 paise.
Solution: Cost price of the item for which he losses = Rs.
12*100/80 = Rs. 15.
Cost price of the item for which he Gains = Rs.
12*100/125 = Rs 9.6.
? Total cost price is Rs. 24.6 and total sell price is
Rs. 24.
So altogether he losses by Rs. 0.6