Home
Class 12
MATHS
Consider the nine digit number n = 7 3 a...

Consider the nine digit number n = 7 3 `alpha` 4 9 6 1 `beta` 0. The number of possible values of `(alpha+beta)` for which the given number is divisible by 6, is

A

3

B

4

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|3 Videos

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise FUNCTION EXERCISE 8:Questions Asked in Previous 10 Years Exams|1 Videos

Similar Questions

Explore conceptually related problems

Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. If q is the number of all possible values of beta for which the given number is divisible by 8, then q is equal to

Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. The number of ordered pairs (alpha,beta) for which the given number is divisible by 88, is

Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. The number of possible values of beta for wich i^(N) = 1 ("where " i=sqrt-1) ,

Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. If p is th number of all possible distinct values of (alpha-beta) , then P is equal to

Consider the number N = 8 7 a 2 7 9 3 1 b , where a , b are single digit whole numbers. Number of values of a + b for which N is divisible by 11 is

Consider the number N = 8 7 a 2 7 9 3 1 b , where a , b are single digit whole numbers. Number of values of a + b for which N is divisible by 11 is

Consider the number N= 7 7 4 9 5 8 P 9 6 Q (i) If P=2 and the number N is divisible by 3, then number of possible values of Q islare (ii) If N is divisible by 4, then values of P and Q is/are (iii) If N is divisible by 8 and 9 both, then number of possible ordered pair (P, Q)

Let alpha and beta be two number where alpha lt beta The geometric mean of these numbers exceeds the smaller alpha by 12 and the arithmetic mean of the same number is smaller by 24 than the larger number beta , then the value of |beta-alpha| is

If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+cot alpha tan beta is

An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers are to be formed using only the three digits 2, 5, and 7. The smallest value of n for which this is possible is a. 6 b. 7 c. 8 d. 9

ARIHANT MATHS ENGLISH-ESSENTIAL MATHEMATICAL TOOLS -Exercise (Passage Based Questions)
  1. Let f(x)=ax^(2)+bx+c,ab,c in R. It is given |f(x)|le1,|x|le1 The po...

    Text Solution

    |

  2. Let f(x) = ax^2 + bx +C,a,b,c in R.It is given |f(x)|<=1,|x|<=1 T...

    Text Solution

    |

  3. Let f(x)=ax^(2)+bx+c,ab,c in R. It is given |f(x)|le1,|x|le1 The po...

    Text Solution

    |

  4. Consider the equation|2x|-|x-4|=x+4 The least integer satisfying the e...

    Text Solution

    |

  5. Consider the equation|2x|-|x-4|=x+4 Total number of prime numbers less...

    Text Solution

    |

  6. Consider a number N=21 P 5 3 Q 4. The number of ordered pairs (P,Q)...

    Text Solution

    |

  7. Consider a number n=21 P 5 3 Q 4. The number of values of Q so that ...

    Text Solution

    |

  8. Consider a number N = 2 1 P 5 3 Q 4. The number of ordered pairs (P,Q...

    Text Solution

    |

  9. Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. If p is ...

    Text Solution

    |

  10. Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. If q is ...

    Text Solution

    |

  11. Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. The numb...

    Text Solution

    |

  12. Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. The num...

    Text Solution

    |

  13. Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. The num...

    Text Solution

    |

  14. The set of intergers can be classified into k classes, according to th...

    Text Solution

    |

  15. The set of intergers can be classified into k classes, according to th...

    Text Solution

    |

  16. The set of intergers can be classified into k classes, according to th...

    Text Solution

    |