Home
Class 14
MATHS
Given n=1+x and x is product of four con...

Given `n=1+x and x` is product of four consecutive integers. Then which of the following is true? I n is an odd integer II. n is prime. III. n is a perfect square. Only I is correct (b) Only III is correct (c) Both I and II are correct (d) Both I and III are correct

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    RS AGGARWAL|Exercise All Questions|105 Videos

  • ODD MAN OUT AND SERIES

    RS AGGARWAL|Exercise All Questions|81 Videos

Similar Questions

Explore conceptually related problems

If n=1+x, where x is the product of four consecutive positive integers,then which of the following is/are true? n is odd II.n is prime III.n is a perfect square.(a) I only (b) I and II only (c) I and III only (d) None of these

(c-a) will be equal to 10(a+c) II.10a+2b a.only I is true b.Only II is true c.Both I and II are true d.Both I and II are false

For the integer n, if n^(3) is odd,then which of the following statements are true? n is odd.II.n^(2) is odd.III.n^(2) is even (a) I only (b) II only (c) I and II only (d) I and III only

If n is an odd integer,then (1+i)^(6n)+(1-i)^(6n) is equal to

If x-y=8, then which of the following must be true? Both x and y are positive.II.If x is negative,y must be positive III.If x is negative,y must be negative.(a) I only (b) II only (c) I and II (d) III only

If 7^(a^(b))=2401 where a and b positive integers and a ne 1 , then which of the following is (are). Correct ? I,a=b II.agtb III.altb

Choose the correct statement about I, II and III.

RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. The sum of four consecutive even numbers A,B,C and D is 180. What i...

    Text Solution

    |

  2. A young girl counted in the following way on the fingers of her lef...

    Text Solution

    |

  3. Given n=1+x and x is product of four consecutive integers. Then which ...

    Text Solution

    |

  4. If x+y=15\ a n d\ x y=56 , then what is the value of x^2+y^2? (a) 110...

    Text Solution

    |

  5. Given that (1^2+2^2+3^2+ ..20^2)=2870 ,\ the value of (2^2+4^2+6^2+do...

    Text Solution

    |

  6. The value of 5^2+6^2+ddot\ +10^2+20^2i s 755 (b) 760 (c) 765 (d) 7...

    Text Solution

    |

  7. Given that 1+2+3+4+ 10=55 , then the sum 6+12+18+24+ .60 is equal to ...

    Text Solution

    |

  8. If m and n are natural numbers such that 2^m-2^n=960 , what is the val...

    Text Solution

    |

  9. On multiplying a number by 7, all the digits in the product appear ...

    Text Solution

    |

  10. The number of digits in the smallest number, which when multiplied ...

    Text Solution

    |

  11. A boy multiplies 987 by a certain number and obtains 559981 as his ...

    Text Solution

    |

  12. The numbers 1, 3, 5, ….. 25 are multiplied together. The number of ...

    Text Solution

    |

  13. The numbers 1,2,3,4,….. 1000 are multiplied together. The number of...

    Text Solution

    |

  14. First 100 multiples of 10 i.e. 10, 20, 30, …. 1000 are multiplied t...

    Text Solution

    |

  15. The number of zeros at the end of the product 5xx10xx\ 15xx\ 20xx\ 25x...

    Text Solution

    |

  16. The number of zeros at the end of 60 ! is 12 (b) 14 (c) 16 (d) 18

    Text Solution

    |

  17. The numbers 1, 3, 5,7, …. 99 and 128 are multiplied together. The n...

    Text Solution

    |

  18. The numbers 2,4,6,8,….. 98, 100 are multiplied together. The number ...

    Text Solution

    |

  19. Let S be set of prime numbers greater than or equal to 2 and less t...

    Text Solution

    |

  20. Find the number of zeros at the end of the result 3xx6xx\ 9xx\ 12xx...

    Text Solution

    |