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Consider the following statements: (1) I...

Consider the following statements: (1) If `p > 2` is a prime, then it can be written as `4n\ +\ 1\ or\ 4n\ +\ 3` for a 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) is true but (2) is false (b) (1) is false but (2) is true (c) (1) and (2) are false (d) (1) and (2) are true

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RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. The smallest prime number, that is the fifth term of an increasing ...

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  2. The number of prime numbers between 301 and 320 are 3        (b...

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

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  4. What is the first value of n for which n^2+n+41 is not a prime? 1 ...

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  5. Let Xk=(p1*p2*...*pk)+\ 1,where\ p1,\ p2,\ ...,pk are the first k prim...

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  6. 6xx3\ (3-1) is equal to 19 (b) 20 (c) 36 (d) 53

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  7. 1234+2345-3456+4567=\ ? (a) 4590 (b) 4670 (c) 4680 (d) 4690 ...

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  8. 5566−7788+9988=? +4444 (a) 3223 (b) 3232 (c) 3322 (d) 3333 (e) None of...

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  9. 38649-1624-4483=? 32425 (b) 32452 (c) 34522 (d) 35422 None of t...

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  10. 884697-773697-102479=\ ?\ 8251 (b) 8512 (c) 8521 (d) 8531 None...

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  11. 10531+4813-728=?xx87 168 (b) 172 (c) 186 (d) 212 None of these

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  12. What is 394 times 113? 44402      (b)  44522           (c)  44632  ...

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  13. 1260\ -:14\ -:9=? 9 (b) 10 (c) 81 (d) 810 None of these

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  14. 136xx12xx8=?dot 12066 (b) 13046 (c) 13064 (d) 13066 None of the...

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  15. 8888+848+88-?=7337+737 1450 (b) 1550 (c) 1650 (d) 1750 None of ...

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  16. 414xx?xx7=127512 36 (b) 40 (c) 44 (d) 48 None of these

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  17. Product of 82540027 and 43253 is (a) 3570103787831          (b) 35701...

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  18. (46351-36418-4505)-:?=1357 2 (b) 3 (c) 4 (d) 6 (e) None of t...

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  19. 6xx66xx666=? 263376 (b) 263763 (c) 263736 267336 (e) None of th...

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  20. If you subtract- 1 from + 1, what will be the result? -2 (b) 0 (c...

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