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Consider the following statements: 1. ...

Consider the following statements:
1. If `p > 2` is a prime, then it can be written as `4n + 1` of `4n + 3` for suitable natural number n.
2. If `p > 2` is a prime, then `(p -1)(p +1)` is always divisible by 4.
Of these statements:

A

1 and 2 are false

B

1 and 2 are true

C

1 is true but 2 is false

D

1 is false but 2 is true

Text Solution

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The correct Answer is:
B
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ARIHANT SSC-FUNDAMENTALS -EXERCISE - MISCELLANEOUS
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  2. If p be a prime, p > 3 and let x be the product of positive integers ...

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  3. Consider the following statements: 1. If p > 2 is a prime, then it c...

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  4. 111111111111 is divisible by :

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  6. The number of pairs lying between 40 and 100 such that HCF is 15, is ...

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  8. Let x and y be positive integers such that x is prime and y is composi...

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  9. In the equation 4^(x + 2) = 2^(x +3) + 48 , the value of x will be

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  10. A lad was asked his age by his friend. The lad said , "The number you ...

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  11. Solve the followings : (a^(m-n))^(1) xx (a^(n-1))^m xx (a^(1 - m))^(...

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  12. If the sum of two numbers added to the sum of their squares is 42 and ...

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  13. If the equality 1/(x -1) = 2/(x - 2) is satisfied by x then the value ...

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  14. If x + 1/x = 2, then the value of x^2 + 1/(x^2) is :

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  15. If a = 24, b = 26, c = 28, then the value of a^2 + b^2 + c^2 - ab - bc...

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  16. A number n is said to be 'perfect' if the sum of all its divisors excl...

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  17. The product a/(b^2) xx b/(a^2) expressed as the sum of two identical t...

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  18. If x = 6 and y = 3 then the value of [x + y]^(x//y) is:

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  19. If the arithmetic mean of the numbers x1 , x2, x3,……., xn is barx, the...

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  20. The arithmetic mean of first 50 odd natural numbers is :

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