#350. A person's is x^th 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?

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?

#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?

#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^th term be?

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?

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

#370. What is the remainder obtained when 4⁹⁶ is divided by 6?

#371. What is the remainder when (15²³ + 23²³) is divided by 19?

#373. What are the values of x, y, and z equal to if they are all natural numbers and

Answers to #362, #365, and #372:-
Answer #365 is correct, Devantè!

#376. Find the sum of all odd numbers of four digits which are divisible by 9.

#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?