# DEVELOPING MATHEMATICAL SKILLS

MATH AND CRICKET:

=>  I wanted to gamble in a match between India and England. The odds were 2:1 i.e., if I
bet 100 on India, I get 200 more. If I bet 100 on England I get 100 more. If I invest RS. 50
each in both the countries and if India wins I gain 100 rupees on India and lose 50 on
England. Hence my total profit would be RS. 50/- (+100-50). But if England wins, there
would be neither profit nor loss (-50+50). What would be the safest bet to get the
maximum profit? How much I should bet on India and England so that I get maximum
amount, irrespective of which country wins.

=> At a cricket betting, a fortune-teller at the gate said, “For ten rupees I will tell you the
scores. You can bet on that. If it goes wrong, I would give you 1000/- as compensation”.
Should I take the offer?

=> Think before answering. It is not as simple as it appears to be. Don’t rush to turn the
pages to find out the answer at the end. Take time and think: In a fifty over one-day
the international match, 49.4 balls are bowled. Last two balls… Seven runs to win… it is ninth
wicket partnership… Last two batsmen are at 94 runs each. The team won and both
batsmen made centuries. How could it be possible? Don’t think of a no-ball, free hit wide,
hitting the helmet etc because… on no-ball if the batsman hits a six it adds 7 (seven) runs
to the team score and it wins. Then how the runner also gets 100 runs? This puzzle is more
complicated than what you think. Try.

=> In an annual state tournament 5 cricket teams participate. The champion team is
chosen for this tournament by the usual elimination scheme. That is, the 5 teams are
divided into pairs, and the two teams of each pair played against each other. The loser of
each pair is eliminated, and the remaining teams are paired up again, etc. How many
games must be played to determine a champion?

=> In the above competition, if the participating teams are 50, then how many games are
to be played?

=> Three men go to a Lodge where they were told that the room rent is 30. They shared 10
each. Later the receptionist realized that the rent is 25 only. He sent back 5 rupees through
the boy. They paid him 2/- as a tip and kept one rupee each. In other words, each has parted
with rupees 9 towards rent, the total amounting to 27. The boy was paid 2 rupees. Total: 29.
Where has the remaining one rupee gone?

=> A 16 meters cable is attached to two 15 meters high pillars. At its lowest point, the cable
hangs 7 meters above the ground. What is the distance between two pillars?

=>  Which of these numbers can be equally divided by 2? 5, 6, 7, 8.

=> This is an interesting question believed to be prepared by Mathematics wizard
Sakuntala Devi. If a clock takes two seconds to strike two bells, how much time does it take
to strike three bells?

=> If a clock takes 5 seconds to strike 5 pm, how long will it take to strike 10 pm?
50.The time between first and last ticks is 30 seconds at 6 pm. How long does it tick at 12
o’ clock?

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