Prime numbers | Olympiad problems | Tricky questions | Brain teasers | Arithmetic | #shorts

In each of the following questions, the two rows of numbers are given. Resultant number in each row is to be worked out seperately based on the following rules and the question below the row of numbers is to be answered. The operations of numbers progress from left to right. Rules: (i) If an even number is followed by a prime number they are to be multiplied. (ii) If an even number is followed by a composite odd number, odd number is to be subtracted from even (iii) If a composite is followed by a prime number, the first number is to be divided by the second number. (iv) If an odd number is followed by an even number which is a perfect square, they are to be added. (v) If an odd number is followed by another odd number they are to be added. Now work out the resultant numbers for each row in each question and answer the question below the rows of numbers. 39 13 11 17 24 5 55 13 What is the difference between resultants of the two rows? 1) 14 2) 9 3) 243 4) 233 None of these

Punnet "raked his brains" and tried to find an answer to a tricky question given in the paper but couldn't find one.

Based on addition/subtraction of prime numbers These questions have a pattern of add1tion/subtraction of prime numbers. 32, 19, 8, ?

Factor|Prime Number|Prime Factorisation|Question Practice

The smallest prime number, that is the fifth term of an increasing arithmetic sequence in which all the four preceding terms are also prime, is 17 (b) 29 (c) 37 (d) 53

Eratosthenes|Prime And Composite Numbers|Practice Questions|Even And Odd Numbers|Test For Divisibility Of Numbers

Shobha's Mathematics test had 75 problems i.e., 10 arithmetic, 30 algebra and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly, she did not pass the test because in algebra she got less than 60% of the problems right. How many more questions she would have needed to answer correctly to score a 60% passing grade?

Counting numbers have fascinated human mind from time immemorial. The first set he seems to have pondered about is the set of natural numbers, N Various subsets of this set were diffined. Note worthy among them are Prime Number :- if a natural number has exactly tow divisors it is called a prime number. Yet another way Simple examples are 2,3,5,7,........... {2,3} in the only set of consective primes. Composite numbers :- A natural number habing more than 2 divisors is called a composite number. Simple examples are 4,6,8,9,10,.......... Note that 1 is neither prime nor composite. Coprime or relatively prime numbers :- A pair of natural numbers is acalled a set of coprime numbers if their highest common factor (HCF) or greatest common divisor (g.c.d.) is 1. For example 8 & 5 are co-prime Note that these two numbers need not be prime. More over 1 is coprime with evert natural numbers. a prime number is coprime with all natural numbers which are not it's multiple. Twin Prime :- A pair of primes is called twin primes if their non-negative difference is '2' For example {3,5} , {5,7}, (11,13} , ......... Based on above difinitions solve that following problems Number of prime numbers less than 10 is

Counting numbers have fascinated human mind from time immemorial. The first set he seems to have pondered about is the set of natural numbers, N Various subsets of this set were diffined. Note worthy among them are Prime Number :- if a natural number has exactly tow divisors it is called a prime number. Yet another way Simple examples are 2,3,5,7,........... {2,3} in the only set of consective primes. Composite numbers :- A natural number habing more than 2 divisors is called a composite number. Simple examples are 4,6,8,9,10,.......... Note that 1 is neither prime nor composite. Coprime or relatively prime numbers :- A pair of natural numbers is acalled a set of coprime numbers if their highest common factor (HCF) or greatest common divisor (g.c.d.) is 1. For example 8 & 5 are co-prime Note that these two numbers need not be prime. More over 1 is coprime with evert natural numbers. a prime number is coprime with all natural numbers which are not it's multiple. Twin Prime :- A pair of primes is called twin primes if their non-negative difference is '2' For example {3,5} , {5,7}, (11,13} , ......... Based on above difinitions solve that following problems Number of composite numbers less than 15 is