1) Rahul took part in a cycling game with many others in a circular closed circuit. After
pedaling for several minutes, he found that 1/5th of the cyclists ahead of him and 5/6th of the
cyclists behind him together formed the total no. of participants. How many were
participating in the race?
2) Tom wants to catch a hare. He is standing 250 yards south from the hare. The hare starts
moving due east.Tom, instead of moving in the northeast direction,moves in such a way that
at every instant, he is goingtowards the hare. If speed of tom is one and one-third times that
of the hare, find the distance each traveled before he caught the hare.
3) Two people are playing with a pair of dies. Instead of numbers, the dies have different
colors on their sides. The first person wins if the same color appears on both the dies and the
second person wins if the colors are different. The odds of their winning are equal. If the first
dice has 5 red sides and 1 blue side, find the color(s) on the second one.
4) A company's director said during the board meeting: " The company's income from roads
will be sufficient to pay 6% of the entire stock issue, but since we are paying 7.5% interest on
the preferred stock of Rs.4, 000,000 we are able to pay only 5% of the common stock". Find
the value of the common stock.
5) Mr. ANYMAN left ANYTOWN by car to attend a wedding at ANYCITY. He had been
driving for exactly two hours when the car got punctured. It took his driver exactly ten
minutes to change the wheel. In order to play safe they covered the remaining distance at a
speed of 30 mph. consequently, Mr. ANYMAN was at wedding half an- hour behind
schedule. Had the car got the puncture only 30 miles later , I would have been only FIFTEEN
minutes late he told the driver . How Far is ANYCITY from ANYTOWN.
Ans: 120 miles
6) Alpha, Beta , gamma, delta and epsilon are friends and have birthdays on consecutive
days though may not be in order. Gamma is as many days old to Alpha as Beta is younger to
Epsilon. Delta is two days older then Epsilon. Gamma’s Birthday is on Wednesday. Tell
whose birthday is when.
Ans:
Alpha: Friday
Beta : Saturday
Gamma: Wednesday
Delta: Tuesday
Epsilon: Thursday
7) The quarter of the time from midnight to present time added to the half of the time from
the present to midnight gives the present time. What is the present time?
Ans: 9hrs past 36 minutes AM
8) A man is going to a wedding party. He travels for 2hrs when he gets a puncture.
Changing tyres takes 10mins. The rest of the journey he travels at 30 miles/hr. He reaches
30mins behind schedule. He thinks to himself that if the puncture had occurred 30miles later,
he would have been only 15mins late. Find the total distance traveled by the man
9) After world war II three departments did as follows First department gave some tanks to
2nd &3rd departments equal to the number they are having. Then 2nd department gave some tanks to 1st & 3rd departments equal to the number they are having. Then 3rd department gave some tanks to 2nd &1st departments equal to the number they are having. Then each department has 24 tanks. Find the initial number of tanks of each department?
Ans ; A-39 B-21 C-12
10) A girl 'A' told to her friend about the size and color of a snake she has seen in the beach.
It is one of the colors brown/black/green and one of the sizes 35/45/55.
If it were not green or if it were not of length 35 it is 55.
If it were not black or if it were not of length 45 it is 55.
If it were not black or if it were not of length 35 it is 55.
a) What is the color of the snake?
b) What is the length of the snake?
Ans: a) brown b) 55
11) A man was on his way to a marriage in a car with a constant speed. After 2 hours one of
the tier is punctured and it took 10 minutes to replace it. After that they traveled with a speed
of 30 miles/hr and reached the marriage 30 minutes late to the scheduled time. The driver told
that they would be late by 15 minutes only if the 10 minutes was not waste. Find the distance
between the two towns?
12) Three clocks where set to true time. First run with the exact time. Second slows one
minute/day. Third gains one minute/day. After how many days they will show true time.
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