Home
Class 14
MATHS
If a = underset(55 "times")underbrace(11...

If `a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3)+10^(4) and c=1+10^(5)+10^(10)+……+10^(50)` then

A

prime number

B

composite number

C

multiple of 3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE, SERIES & PROGRESSIONS

    ARIHANT SSC|Exercise Final Round|18 Videos

  • SEQUENCE, SERIES & PROGRESSIONS

    ARIHANT SSC|Exercise EXERCISE LEVEL-1|43 Videos

  • RATIO, PROPORTION & VARIATION

    ARIHANT SSC|Exercise FINAL ROUND|16 Videos

  • SET THEORY

    ARIHANT SSC|Exercise EXERCISE - 15 (LEVEL -1)|29 Videos

Similar Questions

Explore conceptually related problems

If a=underset("55 times")ubrace("111................1,") b=1+10+10^(2)+10^(3)+10^(4) and c=1+10^(5)+10^(10)+....+10^(50) , then

10 div 10 xx 10 + 10 - 1

3 xx 10^(5) + 4 xx 10^(3) + 7 xx 10^(2) + 5 is equal to

Write the numeral whose expanded form is given below: ( i ) 6 xx 10^(4)+3 xx 10^(3)+0 xx 10^(2)+7 xx 10^(1)+8 xx 10^(0) ( ii ) 9 xx 10^(6)+7 xx 10^(5)+0 xx 10^(4)+3 xx 10^(3)+2 xx 10^(2)+9 xx 10^(1)+6 xx 10^(0) ( iii ) 8 xx 10^(5)+6 xx 10^(4)+4 xx 10^(3)+2 xx 10^(2)+9 xx 10^(1)+6 xx 10^(0)

(2.4xx10^(3))-:(8xx10^(-2))=?3xx10^(-5)b3xx10^(4)c.3xx10^(5)d.30

329.25=3xx10^(2)+2xx10^(1)+9xx10^(@)+2xx10^(-1)+5xx10^(-2)

Find the remainder when 10^(1) + 10^2 + 10^3 + 10^4 + 10^5 + …….. + 10^(99) is divided by 6.

1. (1)/(10)+(3)/(10)+(6)/(10)

ARIHANT SSC-SEQUENCE, SERIES & PROGRESSIONS-EXERCISE LEVEL-2
  1. The sum of n terms of the series 3/(1^2 * 2^2) + (5)/(2^2 * 3^2) + ...

    Text Solution

    |

  2. The natural numbers are written as follows : The sum of numbers...

    Text Solution

    |

  3. If a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3...

    Text Solution

    |

  4. The interior angles of a polygon are in A.P. If the smallest angle is ...

    Text Solution

    |

  5. If M is the mid point of the side BC of triangle ABC, and the area of ...

    Text Solution

    |

  6. The value of 0.1bar(23) is :

    Text Solution

    |

  7. A milk vendor has 21 lt of cow milk, 42 lt of toned milk and 63 lt of ...

    Text Solution

    |

  8. One side of an equilateral triangle is 24 cm. The midpoints of its sid...

    Text Solution

    |

  9. The odd positive integers are arranged in a traingle as follows : ...

    Text Solution

    |

  10. Find the sum to n terms of the series log a+ log"" (a^3)/(b) + log ...

    Text Solution

    |

  11. The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+) is 4 b. log4 c. log2 d....

    Text Solution

    |

  12. The ages of Samir and Tanuj are in the ratio of 8:15. After 9years the...

    Text Solution

    |

  13. The radius of a circle is twice the side of a square, whose area is 19...

    Text Solution

    |

  14. Find the sum of the series (5)/(13)+(55)/(13)^2+(555)/(13)^2+(5555)/((...

    Text Solution

    |

  15. Sum of infinite series 1/(1*4)+1/(4*7)+1/(7*10)+......oo is

    Text Solution

    |

  16. A sequence of real numbers a(1), a(2), a(3),......a(n+1) is such that ...

    Text Solution

    |

  17. In a GP of real number , the sum of first four number is 30 and sum of...

    Text Solution

    |

  18. A square is drawn by joining the mid points of the sides of a given sq...

    Text Solution

    |

  19. An A.P. and a G.P. with positive terms have the same number of terms a...

    Text Solution

    |

  20. If first and (2n−1)^(th) terms of an A.P., G.P. and H.P. are equal a...

    Text Solution

    |