Q. 6 guys can each carry a maximum of a 10 day ration-supply; they are on the edge of a desert; so they could all walk together straight out into the desert for 5 days, then return home. That's clear! But not much fun.
Well, in order to make this puzzle possible, they decide on a plan of action to send one of them as far as possible straight out into the desert, such that this "chosen one" can then return home, naturally!
Their plan uses 2 strategies:
1- hiding spots for supplies
2- guys giving supplies to other guys
And to make your life easier, the hiding and/or remitting of supplies is always at day's end, and in "packets" of one-day-rations.
Their plan is also such that in total, the least possible packets have been hidden. A packet weighs 7 pounds.
Finally, the guys walk at same speed: 23 miles per day.
How many miles was the "chosen" one able to go into the desert, and how many "pounds" were hidden?
Q. A group of people is sitting around a round table. They give a coffee break. When they return to the table after the break, they sit down randomly. Interestingly, they notice that the six closest persons sitting next to each one of them (three to the left, and three to the right) are completely different from the six closest persons in the previous setting.
Q. You are playing a game with your friend. Your friend chooses three of the numbers among (1, 2, 3, 4, 5, 6, 7, 8, 9). You will call four numbers in each turn, and he will tell you how many of them are among the chosen numbers.
In order to guarantee to find these numbers in all cases, how many turns are needed?
Q. A,B and C buy a box of chocolates each. Mr.A distributes the chocolates in his box equally among his 6 children, Mr.B among his 7 children and Mr.C among his 8 children. Then they pool their respective remaining number of chocolates and find that they could distribute these equally among themselves or equally among themselves when a fourth friend D joins them. Which of the following can be the total amount that the three friends spent on the chocolates if each chocolate costs exactly Rs. 2.50 (Assume that the only cost of a box of chocolates is that of the chocolates in it)
Q. In a game, the 1st person tosses a coin. If the outcome is head, he throws a dice and the result is recorded as his score and he gets one more chance to toss the coin. If the outcome is tail then the next person gets a chance to toss the coin. What is the probability that a person scores 35 points after 6 tosses in this game?
Option
a) (1/32)(1/6)^5
b) (1/32)(1/6)^6
c) (1/64) (1/6)^6
d) (1/64) (1/6)^5
Q. My friend owns a horse-driven carriage. It was found that the fore wheels of the carriage make four more revolutions than the hind wheel in going 96 feet. However, it was also found that if the circumference of the fore wheel was 3/2 as great and of the hind wheel 4/3 as great, then the fore wheel would make only 2 revolutions more than hind wheel in going the same distance of 96 feet. Can you find the circumference of each wheel?
Q. Arrange the ten digits 0 to 9 in three arithmetical sums, using three of the four operations of addition, subtraction, multiplication, and division, and using no signs except the ordinary ones implying those operations. Here is an example to make it quite clear:
3 + 4 = 7
9 - 8 = 1
5 X 6 = 30
But, the example is not correct, as the number 2 has not been used and the number 3 has been used twice. Can you come up with a valid solution?
Q. When manufacturing bars of soap, the cutting machine produces scraps. The scraps from 11 bars of soap can be made into one extra bar. What is the total number of bars that can be made after cutting 250 bars of soap?
I must study politics and war that my sons may have liberty to study mathematics and philosophy....
jhon adams.. 2nd president of united states
john adams
Students attend our lectures, not because the mathematics we teach ‘makes lots of fun’ for us, but because they believe they can learn some essential knowledge from us. And each of our young students has only one life to live. We should therefore be a