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Counting numbers have fascinated human m...

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 two 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 having 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
`"(a) 2 (b) 3 (c) 4 (d) 5 "`

A

2

B

3

C

4

D

5

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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 two 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 having 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 "(a) 10 (b) 9 (c) 8 (d) 7"

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 Let p & q be the number of natural numbers which are less than or equal 20 and are prime & composite respectively, then 20-p-q is equal to "(a) 1 (b) 0 (c) 2 (d) 3"

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RESONANCE ENGLISH-DPP-QUESTION
  1. Counting numbers have fascinated human mind from time immemorial. The ...

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  2. Counting numbers have fascinated human mind from time immemorial. The ...

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  3. Counting numbers have fascinated human mind from time immemorial. The ...

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  4. The natural numbers ware not sufficient to deal with various equations...

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  5. The natural numbers ware not sufficient to deal with various equations...

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  6. The natural numbers ware not sufficient to deal with various equations...

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  7. Number of ordered pairs of intergers {n,m} for which n^(2)-m^(2)=14 is

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  8. Identify the correct statement (1) If a, b, c are odd itergers a + b...

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  9. If n^(2)+2n -8 is a prime number where n in N then n is

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  10. If n^(2)-11n+24=0 is satisfied by n(1)&n(2) where n(2)gtn(1) then (A)...

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  11. Which of the following numbers is irrational?

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  12. If p,q in N and 0.1bar2=p/q where p and q are relatively prime then wh...

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  13. Consider the following statements (i) The sum of a rational number w...

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  14. The equation 7x^(2)-(7pi+22)x+22pi=0has (A) equal roots (B) a root wh...

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  15. Theere are four prime numbers written in ascending order. The product ...

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  16. Find out (A+B+C+D) such that ABxxCB=DDD, where AB and CB are two-digit...

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  17. Let a,b inQ"such that"(39sqrt2-5)/(3-sqrt2)=a+bsqrt2, then (A) sqrt((...

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  19. If xx=sqrt(3)+sqrt(2), then find xx+1/x,x^(2)+(1)/(x^(2)),x^(3)+(1)/(x...

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  20. Find the sum (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4...

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