Q. A man has two bags with 10 mangoes each. On his way home he needs to cross five gates which are guarded by watchmen. Every gate the man crosses, that gate's watchmen will take out two mangoes from each bag with mangoes. Can the man take home any mangoes after crossing all five gates. If yes how many and how?
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?
Q. A police officer caught a thief. In cross examination the lawyer of accused asked the police officer how he could catch up with the accused who was already 27 steps ahead of him. "Yes sir",the officer replied. "He takes 8 steps to every 5 steps of mine", then the lawyer said "if that was the case,how could u ever catch?" "i have got a long stride.2 steps of mine are equal to his 5",replied the officer. A member of jury who was good at quick calculations figured out the number of steps the officer must have taken to catch the thief. can u find it? (initial 27 steps is that of thief's)
You're an electrician working at a mountain. There are N wires running from one side of the mountain to the other. The problem is that the wires are not labeled, so you just see N wire ends on each side of the mountain. Your job is to match these ends (say, by labeling the two ends of each
wire in the same way).
In order to figure out the matching, you can twist together wire ends, thus electrically connecting the wires. You can twist as many wire ends as you want, into as many clusters as you want, at the side of the mountain where you happen to be at the time. You can also untwist the wire ends at the side of the mountain where you're at. You are equipped with an Ohm meter, which lets you test the connectivity of any pair of wires. (Actually, it's an abstract Ohm meter, in that it only tells you whether or not two things are connected, not the exact resistance.)
You are not charged [no pun intended] for twisting, untwisting, and using the Ohm meter. You are only charged for each helicopter ride you make from one side of the mountain to the other. What is the best way to match the wires? (Oh, N>2, for there is no solution when N=2.)
Q. Two towns are linked by a railroad. Every hour on the hour a train leaves each town for the other town. The trains all go at the same speed and every trip from one town to the other takes 5 hours. How many trains are met by one train during one trip?
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. 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)