number theory problems


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Rational and Irrational Numbers
. Problems involving rational numbers are simplified using 'BODMAS' rul..
Number Theory
Divisibility, Divisors or Factors and Multiples, - If a number has a whole number answer when divided by a second number, the first number is divisible by the second number; x is divisible by y if and only if x = qy where y is a whole number..
Questions on Number theory
Question 1 - Question: Define an even number. Answer: A number which is divisible by 2 is called an even number..
Number Theory - Test Questions
Question 1 - Question: Show that the sum of the cubes of any number of consecutive integers is divisible by the sum of those integers. Answer: Let the consecutive integers be (n + 1), (n + 2), (n + 3),....,(n + m) Sum of the cubes of integers = S 1 (n+m) and (n+m+1) are consecutive intege..
Set of question and answer on Number Theory
Question 1 - Question: For the given sequence, suggest possible next three terms and find the general term. 7, 11, 15,---- Answer: First term = 7, Common Difference = 11 - 7 = 15 - 11 = 4 Next three terms are 15 + 4 = 19, 19 + 4 = 23, 23 + 4 = ..
Basic number theory question and answers
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..
Verification by numerical problems
\ A + B = B + A \ A + B = B ..
Verification by numerical problems
then show that (A+B)+C = A+(B..
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