Recent content by K Sengupta

Substitute each of the capital letters by a different digit from 0 to 9 to satisfy this set of cryptarithmetic relationships. None of the numbers can contain any leading zero. ABCD*EF=GHJB*KE, and: (EH)2 + (KC)2 = (KH)2

Determine all possible value(s) of a 8-digit base 10 positive integer having the form ABCDEFGH, where each of the capital letters denotes a different digit from 1 to 9, that satisfy each of the following conditions: (I) AB is divisible by 2, and: (II) BC is divisible by 6, and: (III) CD...

Substitute each of the capital letters by a different digit from 0 to 9 to satisfy this set of cryptarithmetic relationships. None of the numbers can contain any leading zero. GEORGE + RUGGLE + 15750 + 16220 + P = PPPPPP, and: OE - LR = LO, and: RUGGLE is divisible by 7

Brian, Amy and Stephanie are waiting at the train station. Each of the three is waiting for a different train. When they check the station clock, they realize that Amy is going to have to wait twice as long for her train as Brian will for his, while Stephanie will have to wait twice as long...

Determine the sum of all the digits in the positive integers from 1 to 2010 inclusively.

I confirm having made the requisite amendment in the original post in conformity with the foregoing.

A distant planet is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. Eight inhabitants of the planet: Marge, Mel, Betty, Bob, Bill, Carl, Zeke and Alice are busy at a conversation, when a visitor from a neighboring planet stops by and asks each of...

The string abbcccddddeeeee… continuously repeats such that after the final z, the letters abbcccddddeeeee… begin again. What will be the 3000th letter in the pattern?

Six jars are placed (left to right: coffee, arsenic, and sugar on the top shelf; snuff, tea, and salt on the bottom shelf) and, thereafter filled up with these ingredients, making sure each jar contains something other than what the label says. It is known that: (i) The salt is located...

Does the letter R go above or below the line? A B D O P Q __________________ C E F G H I J K L M N

Place the letters A, B, C, D, E, F, G, H and I into a 3x3 square grid with each square containing a different letter, using the following information: (i) I is in the same column as E which is not in the center column. (ii) D is in the row below the row which contains F. (iii) A is in...

Yesterday Professor Q rode on a bus with his friend. As soon as he got the tickets for himself and his friend, which were consecutively numbered with each of the tickets bearing a 5-digit number with no leading zero, he added the digits on them and told his friend that the sum of all ten digits...

Albert, Bob and Cal each gave a birthday gift to their friend Don, who was so impressed by the presents, that he exclaimed: "Good thing your parents gave you credit cards!" Bob explained that those cards had already been confiscated by the parents of each, and that they had to spend cold...

Two friends Andy and Cal form a team together. Andy is as old as Cal will be when Andy is twice as old as Cal was when Andy was half as old as the sum of their current ages. Cal is as old as Andy was when Cal was half as old as he will become in ten years. Determine the respective current...

The minute hand of a 12 hour analog clock is situated precisely on a minute mark, while the hour hand is situated exactly 2 minute marks behind the minute hand. What time is it? Note: For purposes of the problem, each hour mark is deemed as a valid minute mark.