Vacation timeIt was vacation time, and so I decided to visit my cousin's home. What a grand time we had! In the mornings, we both would go for a jog. The evenings were spent on the tennis court. Tiring as these activities were, we could manage only one per day, i.e., either we went for a jog or played tennis each day. There were days when we felt lazy and stayed home all day long. Now, there were 12 mornings when we did nothing, 18 evenings when we stayed at home, and a total of 14 days
Use sets and venn diagram to solve such questions.a,b ,aub,anb etc.12=tennis+leave18=jog +leaveso jog-tennis=6again jog+tennis=14.so solve and get jog=10,leave=8,tennis=4.so tot=22
The Carpenter and the NailsA 31" x 31" square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 32 nails on each side of the square. Each nailis at the same distance from the neighboring nails. How many nails doesthe carpenter use?
32*2 + 30*2=124
Old Man WrinkleMan Wrinkle spent one-fourth of his life as a boy, one-eighth as a youth, and one-half as an active man. If Man Wrinkle spent 8 years as an old man, then how many years did he spend as an active man?
(1/4)y+(1/8)y+(1/2)y =p; where y =total life time.y-p=8.since p=(14/16)ywe've y=64active age=32
A farmer has C chickens. A sack of feed comes for 9 days. As the feedcost is increasing the farmer sells some chickens and retains 12 chicken. If he reduces thefeed quantity by 10% .Then he observes that the feed comes for 30 days. What is C?
C chickens can b fed for 9 days. So C chick can eat 1/9 in 1 day.So 1 chick can eat (1/9C) in one day. After his reduction one chick gets to eat only 90% of what it used to eat in one day.So new feed value=0.9*(1/9C)
A train travels at a particular speed for a duration of one hour, after which one of its engine malfunctions reducing its speed to 3/5th of the actual speed before theoccurrence of fault in engine. It travels at this speed for 2 hours to reach at itsdestination. If the fault had occurred 50 miles later on, the train would have reachedits destination 45 minutes early. Find the distance traveled by the train.
Let the actual speed of train be X miles/hour. after fault its speed will be reduced to 3X/5 miles/hour. If we could find the speed of the train, we will get the solution!!!by seeing one can find that
A man wearing a hat stands on a bridge across a river. At an instant his hat falls into the river and starts flowing along with the stream at the same speed of the stream.At the same instant the man jumps into the river and starts swimming in the directionopposite to the stream, like that he swims for 10 minute , then he turns back and starts swimming in the direction of the stream to retrieve the hat. He retrieves the hatunder another bridge which is 1000 yards away down the stream from the first
Let the swimming speed of man be = a yds/min.speed of stream = b yds/min.Then the man swims at (a-b) yds/min. against the stream.and (a+b) yds/min in direction with the stream.Lets assume the man covered
A and B are two friends, together they go out for shopping. A buys a hat and a suit,all together A spends 15 rupees. B buys a hat which costs same as the suit bought byA. B even buys a dress which cost her one rupee less than the cost of hat bought by A.B says to A that "If at all I had bought my hat by spending one and half times the money u spent on buying your hat, we both would have spent the same amount on buying our items(together, i.e., 15 rupees).(a) what is the cost of hat bought by
Lets say A spent x and y rupees on hat and suit respectively. from the conditions we can say B spent y and x-1 rupees on hat and dress respectively. From what B told to A we can write that.....=> x + y
A bag contains 20 yellow balls, 10 green balls, 5 white balls, 8 black balls,and 1 red ball. How many minimum balls one should pick out so that to make surethe he gets at least 2 balls of same color.
6 balls
Two trains each 1/6 mile in length run in opposite dirctions to each other with equal speed of 60 miles/hour. What is the time taken to completelycross over the two trains.
Speed at which two trains travel towards each other = 60+60 = 120 miles/hour.Total length to be covered = (1/6)+(1/6) = 2/6 mile.Time to taken to cover 2/6 mile at speed of 120 miles/hour is.....(2/6)/120
A cube of 3cm side is colored red on all of its six faces. It is cut intosmall cubes of side 1cm each. (a) No. of small cubes with 3 faces colored red (b) No. of small cubes with 2 faces colored red(c) No. of small cubes with 1 face colored red(d) No. of small cubes with no faces colored red
(a) No. of small cubes with 3 faces colored red : 8(b) No. of small cubes with 2 faces colored red: 12(c) No. of small cubes with 1 face colored red : 6(d) No. of small cubes with no faces colored red:
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