Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**pi man****Member**- Registered: 2006-07-06
- Posts: 251

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

**Excellent, pi man! The solution you have posted is perfectly right!**

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

53. A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?

Character is who you are when no one is looking.

Offline

**222kitti_kat****Member**- Registered: 2007-12-06
- Posts: 7

...Katie...

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

**Well done, 222kitti_kat!!!Your answer is absolutely correct!**

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

#54. It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?

#55. A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg. His gain is %.

#56. A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by________ each working now for 10 hours daily, the work can be completed in time.

Character is who you are when no one is looking.

Offline

**JohnnyReinB****Member**- Registered: 2007-10-08
- Posts: 453

*"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" *

Nisi Quam Primum, Nequequam

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

Answer to #54.**Well done, JohnnyReinB!!!**

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

#57. General Gasslefield, accused of high treason, is sentenced to death by the court-martial. He is allowed to make a final statement, after which he will be shot if the statement is false or will be hung if the statement is true. Gasslefield makes his final statement and is released. What could he have said?

Character is who you are when no one is looking.

Offline

**TheDude****Member**- Registered: 2007-10-23
- Posts: 361

Wrap it in bacon

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

**All correct, well done!!!**

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

#58. A wizard named Nepo says "I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo?

Character is who you are when no one is looking.

Offline

**JohnnyReinB****Member**- Registered: 2007-10-08
- Posts: 453

*"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" *

Nisi Quam Primum, Nequequam

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

Correct, JohnnyReinB!**Keep it up!**

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

#59. Fill in the blank:-

15, 34, ____, 111, ...............

#60. In India, currency is available in denomination of Re 1, Rs 2, Rs 5, Rs 10, Rs 20. Rs 50,

Rs 100, Rs 500, and Rs 1000. If I have Rs 1000 in all, how many minimum notes must I possess in order to be able to give away any sum from Re 1 to Rs 1000 (counting numbers)?

Character is who you are when no one is looking.

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

Solution to #59:-

JaneFairfax, please check whether all the terms conform to the formula you have given.

Your solution isn't correct!

Character is who you are when no one is looking.

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Yes, its correct.

The solution to #59 it not unique. Just because you have your own answer doesnt there are no other correct ones. If you want to us to give your own answer, you need to give more clues to narrow down the possibilities (e.g. is the formula polynomial, exponential, or whatever).

*Last edited by JaneFairfax (2008-05-16 06:35:13)*

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

JaneFairfax,

I performed a quick mental calculation for all the terms applying Lagrange's Interpolation formula and I got one of the terms in the series wrong, by oversight.

Your solution perfectly fits in.

I apologize my post was hurriedly done.

The question relates to recreational mathematics. After someone posts the solution I have in my mind, or I do, you'd notice that this solution too perfectly fits in the series.

Character is who you are when no one is looking.

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Just to prove that there are **infinitely** many answers for #59,

where *K* is any real number (or even complex number) you like!

*Last edited by JaneFairfax (2008-05-15 22:15:48)*

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

#61. A lottery ticket series has the first two slots alphabetical in character and the next three slots numerical in character. The alphabetcial slots can take any value from A to Z and the numerical slots can take any value from 0 to 9. How many minimum tickets must I buy in order to make my success rate greater than 2.5%?

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

#62. A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do we have?"

After pausing a moment, he replied, "Well! If I divide the coins into two unequal numbers, then 50 times the difference between the two numbers equals the difference between the squares of the two numbers."

The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins they have?

Character is who you are when no one is looking.

Offline

**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

Why did the vector cross the road?

It wanted to be normal.

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,531

Solutions to #61 and #62:

Well done, mathsyperson and JaneFairfax!

Both of you are correct!

Character is who you are when no one is looking.

Offline