Arun Sharma Solutions for Chapter: Logical Reasoning Questions, Exercise 2: Level of Difficulty (LOD)-II

My next door neighbour lies a lot. In fact, he only tells the truth on one day a week! One day he told me, “I lie on Mondays and on Tuesdays.” The next day he said, "Today is either Thursday, Saturday or Sunday.”

The next day he said, “I lie on Wednesdays and Fri- days."

On which day of the week does my neighbour tell the truth?

In chess, a knight moves two squares in one direction and one square in another direction, ending up on the diagonally opposite corner of a 2 x 3 grid. Intervening squares can be occupied. Find the maximum number of knights which can be placed on an 8 x 8 chessboard  so that no knight threatens another knight (can move into a square occupied by one of the other knights).

Three brothers, Armani, Birianni and Chutanmi are all different ages. They each do strange things with numbers, that is, instead of saying the actual number, they change it in a certain way first. One brother divides the number in half. Another brother squares the number. The third brother reverses the digits. (21 becomes 12, 50 and also 5 become 5) When they were asked their ages, the oldest whis- pered his "age” to the thinnest, who whispered it to Chutanmi, who whispered it to the youngest, who answered: 6. Then the youngest whispered his "age" to the tallest, who whispered it to Birianni, who whispered it to the shortest, who answered: 23 Lastly, the youngest whispered his “age” to the short- est, who whispered it to the thinnest, who whispered it to Armani, who answered: 16. What are the ages of the three brothers?

Deepika was admiring the output of her new program to generate random numbers. She had printed out the first ten numbers of the results. She soon noticed something interesting. Each of the $10$ numbers had exactly one digit, in the proper placement, of the $5$ digit code she used to open her car door without a key. In the first number $14073$, for example, Deepika's car code could not be $34170$ (two digits correctly placed) or $92365$ (none). Find Deepika's car entry code from these first 10 randomly generated numbers: $14073, 79588, 05892$, $84771, 63136, 42936, 37145, 50811, 98174$ and $29402$?

A, B, C, D and E all live on Pine Street which house numbers from $10$to $111$, inclusive. Two them live in the same house. The others all live in different houses. They all have made remarks about where they live, but not all the remarks are true. A said, “My house number is a factor of B's hour number. E's house number is 10 greater than D'. B said, "My house number is greater than $70$. House number is greater than $30$."

C said, "My house number is both a cube and square. D's house number is greater than $10$.” D said, “My house number is a square. B's ho number is a cube".

E said, "My house number is twice B's" But who's telling the truth? It turns out that all statements made by people living in houses with numb greater than $50$ were false. All the other statements were true.

Can you find out the house number of E?

During a game of five-card draw poker, played with a standard deck, you are dealt a hand with the fol- lowing characteristics:

• It contains no aces or faces cards. • No two cards have the same value.

• All four suits are present.

• The total value of the odd cards equals the total value of the even cards.

• There are no three-card straights.

• The total value of the black cards is $10$.

• The total value of the hearts is 1(d)

• The card with the lowest value is a spade.

Exactly what are the five cards in your hand?

Divayabh gave an application for a new passport to the clerk on Monday afternoon. Next day was a holiday. So the clerk cleared the papers on the next working day on resumption of duty. The senior clerk checked it on the same day but forwarded it to the head clerk on the next day. The head clerk decided to dispose the case on the subsequent day. On which of the following days was the case put up to the head clerk by the senior clerk?

A man would like to take a new health insurance. An officer taking care of these matters says to the man: "Please tell me how many children you have.” The man answers: "I have three of them." The officer: “What are the ages of your children?" The man an- swers: "The product of the ages is equal to 36." The officer replies: "This is not enough information Sir!"; the man replied "Sorry that I was a little bit unclear, but the sum of the ages is equal to the number of shops in front of your office," says the man. The officer: "This still isn't enough information Sir!"; The man replies: "My oldest child loves chocolate." The officer: "Thanks for your cooperation, Now I know the ages." Are you as smart as the officer? Then give the ages of the children.