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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,231

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,555

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,522

Hi bobbym and ShivamS,

The solutions #4752 and #4753 are correct. Brilliant!

#4754. Find the value of x.

#4755. If

, then what is the value of p?Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,231

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,522

Hi bobbym,

The solutions #4754 and #4755 are perfect. Remarkable!

#4756. If

, then what is the value of n?#4757. If

, then what is the value of x?Character is who you are when no one is looking.

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,555

#4756 is not a 10 second question...

*Last edited by ShivamS (2014-04-04 01:41:21)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,231

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,555

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,522

Hi ShivamS and bobbym,

The solutions #4756 and #4757 are correct. Brilliant!

Find the value of x.

#4758.

.#4759.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,231

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,555

*Last edited by ShivamS (2014-04-05 04:31:27)*

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,522

Hi bobbym and ShivamS,

The solutions #4758 and #4759 are correct. Fantastic!

Find the value of x.

#4760.

.#4761.

.Character is who you are when no one is looking.

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,555

*Last edited by ShivamS (2014-04-06 03:35:17)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,231

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,522

Hi ShivamS and bobbym,

The solutions #4760 and #4761 are correct. Excellent, ShivamS and bobbym!

#4762. Find the average of all prime numbers between 30 and 50.

#4763. Find the average of first 40 natural numbers.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,231

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,555

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,522

Hi bobbym and ShivamS,

The solutions #4762 and #4763 are correct. Neat work!

#4764. Find the average of first 20 multiples of 7.

#4765. The average of four consecutive even numbers is 27. Find the largest of these numbers.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,231

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,231

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,522

Hi bobbym,

The solutions #4764 and #4765 are correct. Neat work!

#4766. Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, find the largest number.

#4767. The average of 25 results is18. The average of first twelve of them is 14 and that of last twelve is 17. Find the thirteenth result.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,231

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,522

Hi bobbym,

The solutions #4766 and #4767 are correct. Good work!

#4768. The average of 11 results is 60. If the average of first six results is 58 and that of the last six is 63, find the sixth result.

#4769. The average weight of A, B, C is 45 kilograms. If the average weight of A and B be 40 kilograms and that of B and C be 43 kilograms, find the weight of B.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,231

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,522

Hi bobbym,

The solution #4768 is correct. Neat work!

The solution #4769

#4770. Find the average of first five multiples of 3.

#4771. What is the average of first nine prime numbers?

Character is who you are when no one is looking.

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