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,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. 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 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. A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in two-thirds of the time. How many workers were there in the group?
Q. There is a grid of 20 squares by 10 squares each having unit edge length. How many rectangles are there having area 'x' sq units,where x is an odd integer?
Note that square is a rectangle.
Solution
total number of rectangles including squares of odd area
= (20+18+16+14+12+10+8+6+4+2)(10+8+6+4+2) = 110*30 = 3300
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)