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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#350. A person's is x[sup]th[/sup] in a row of n houses consecutively numbered 1, 2, 3, 4, 5, .... n. The sum of the numbers of the houses preceding his house is equal to the sum of the numbers following it. If x has the value 35, what is the value of n?

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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**JaneFairfax****Member**- Registered: 2007-02-23
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*Last edited by JaneFairfax (2009-03-13 02:03:39)*

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Answer to #350:-

Correct, JaneFairfax!

#351. In a party, all the guest shook hands with everybody else once except the host. The host had only 7 handshakes. How many guests were present at the party if the number of handshakes were 3 less than the least 4 digit number?

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#352. What is the value of

where n is a Natural number?

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#353. There are 4 oranges, 5 apples and 6 mangoes in a fruit basket. In how many ways can a person make a selection of fruits, from among the fruits in the basket?

#354. Ten points are marked on a straight line and Eleven points are marked on another line, parallel to the said straight line. How many triangles can be constructed with vertices among the above points?

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#355. a, b, and c are three positive numbers and

If (s-a) : (s-b) : (s-c) = 1 : 7 : 4, what is the ratio a:b:c equal to?

#356. If x:y = a:b = 1:5, then what is the value of

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#357. If each permutation of the digits 1, 2, 3, 4, 5, and 6 is listed in the increasing order of magnitude, what would the 289[sup]th[/sup] term be?

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**mathsyperson****Moderator**- Registered: 2005-06-22
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Why did the vector cross the road?

It wanted to be normal.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Answer to #357:-

mathsyperson:-

#358. How many intgeres between 6000 and 6999 (both included) have atleast one of their digts repeated?

#359. How many natural numbers less than a million can be formed using the digits 0, 7, and 8?

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#360. How many successive zeros would the product

#361. If N = 2[sup]8[/sup] x 5[sup]3[/sup], how many sets of two factors of N are co-prime to each other?

#362. How many successive zeros would there be at the end of

#363. Find the last non zero digit of 96!.

#364.What is the number in the unit's place of

#365. The numbers from 1 to 33 are written side by side as follows:-

What is the remainder when this number is divded by 9?

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#366. How many successive zeros would there be at th end of the product

#367. How many successive zeros would there be at the end of the product

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#368. What is the value of

#369. What is the value of

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#370. What is the remainder obtained when 4[sup]96[/sup] is divided by 6?

#371. What is the remainder when (15[sup]23[/sup] + 23[sup]23[/sup]) is divided by 19?

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#372. what is the number in the unit's place of

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#373. What are the values of x, y, and z equal to if they are all natural numbers and

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**Devantè****Real Member**- Registered: 2006-07-14
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**Devantè****Real Member**- Registered: 2006-07-14
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**Devantè****Real Member**- Registered: 2006-07-14
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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Answers to #362, #365, and #372:-

Answer #365 is correct, Devantè!

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#374. Let n∈N, N>25 and A, G, and H denote the Arithmetic Mean, Geometric Mean, and Harmonic Mean of 25 and n respectively. What is the smallest value of n such that A, G, and H are in the set

{25, 26, ........ n}?

#375. Two finite sets have m and n elements respectively. The total number of subsets of the frst set is 56 more than the total number of subsets of the second set. What are the values of m and n respectively?

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#376. Find the sum of all odd numbers of four digits which are divisible by 9.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#377. What is the value of

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**JohnnyReinB****Member**- Registered: 2007-10-08
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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Answer to #375:

That's not the correct answer, JohnnyReinB!

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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#378. The difference between the fourth powers of two natural numbers is 12240. The difference between the squares of the two numbers is one-one hundred and seventieth part of the difference between the fourth power of the two numbers. What are the two possible differences between the two natural numbers?

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