Three brothers Eir, Beer and Fatte were planning to divide some chocolates that were given to them by their uncle, Aby Baby. Eir, being the eldest, was handed over the chocolates and asked to distribute them. He divided the chocolates into three piles with equal chocolates in each and gave the chocolates in one pile to his youngest brother Fatte. He mixed the remaining chocolates again and again divided them into 3 piles with equal chocolates but found that there were two chocolates extra. He gave the chocolates in one pile to Beer along with the two extra chocolates and kept the rest for himself. All three brothers were now happy that each one had an equal number of chocolates. What could possibly have been the number of chocolates given to them by Aby Baby initially?
From 350 litres of milk, 35 litres are drawn and replaced with water. 35 litres of this mixture is then again drawn and replaced with water and the process is continued two more times. Find the quantity of milk present in the solution (in litres) now.
A three digit number is subtracted from a number with the same digits in reverse order. the result is a three digit number, with the same three digits but in different order. All three positive. Which of the following is the unit digit in the number subtracted.? 1. 5 2. 4 3. 9 4. 6
Three identical bottles are each half filled with alcohol solution. When the content of the third bottle is divided into two halves and each half is poured into each of the first two bottles, the volume concentration of alcohol in the first bottle becomes smaller by 20% of its concentration and that in the second bottle increases by 10% of its concentration. What is the ratio of the initial quantity of alcohol in the first bottle to that in the second bottle?
A boy has 2 rupees. He wins or loses Re. 1 at a time. If he wins he gets Re. 1 , if he loses, he loses Re.1. He can lose only 5 times. He is out of the game if he wins Rs.5. Find the number of ways in which this is possible.
Building material was to be delivered from New Delhi railway station to a construction site in 8 hr. The material had to be delivered with 30 three-tonne trucks which were used for 2 hr, and then 9 five-tonne trucks were added 2 hr later to complete the job in time. How many hours will it take for one three-tonne truck alone and one five-tonne truck alone respectively to complete the job? (Assume that it takes very less and equal-time for all trucks to make one trips.)
A solid cube is divided into 4 identical parts by cutting along the diagnols. The sum of the length of all the edges of 1 of these 4 parts is 1cm. What is the length of the side of cube?
A milkman mixed a certain quantity of milk with water and sold one third of the mixture. He then added pure milk and water to the remaining mixture whose quantities were half and one-third, respectively, of the initial quantity of mixture. The ratio of milk and water now is the reverse of what it initially was. Find the original ratio of milk and water.
A person purchased three items A, B and C. If A had cost one-fifth as much as before, B half as much as before and C two-fifth as much as before, the purchase would have cost Rs.8. If A had cost half as much as before, B one-fourth as much as before and. C one-third as much as before, the purchase would have cost Rs.12. Which is costliest?
Aditya is running along a circular track of length x km. He runs his first round at a speed of x km/hr, second round at x/2 km/hr, third round at a speed of x/3 km/hr and so on after 'm' number of rounds, what would be his average speed?
Q)) The three words "HAPPY INDEPENDENCE DAY" are flashed such that the words, individually, are switched on at regular intervals of 4, 7 and 9 seconds respectively and after they are switched on, the words are switched off after 2 seconds, 4 seconds and 5 seconds respectively. If at time t1, all the words happened to switch off simultaneously, find the least time after t1 when all three words will switch on simultaneously.??
The strength of a class was a prime number between 70 and 75. On a day when everybody was present all the students entered the class in a queue. Akanksha entered the class before Tawleen and Purva entered the class before Sanjay. The number of students who entered the class between Tawleen and Sanjay was twice the number of students who entered the class between Sanjay and Purva. The number of students who entered the class before Sanjay was 44 and the number of students who entered the class after Akanksha was 17. If the number of students who entered the class between Akanksha and Purva was not more than 14, how many students entered the class after Tawleen?
There was a circular meadow with diameter 160 m. A labourer wanted to mow the grass of the meadow with a mower of width 20 m and working with a speed of 113.3 km/hr. In how many seconds did he finish mowing the meadow?
There is a circular track of the length 440 m. There are three persons A, B and C standing at different points on the track ready to start the race. A and B are standing diametrically opposite to each other while C is exactly mid-way between A and B, such that A, C and B are standing in clockwise order. The race starts at 10.00 a.m. The speeds of A, B and C are, respectively, 5 m/s, 10 m/s and 8 m/s.At what time would B and C meet for the second time, if all the three of them run in the clockwise direction?