Home
Class 8
MATHS
Find the sum of 3.overline2 and 5.overl...

Find the sum of `3.overline2` and `5.overline4`.

A

`(78)/(3)`

B

`(58)/(3)`

C

`(58)/(9)`

D

`(78)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
D
`{:(3.,2,2,2,2,2..........),(5.,4,4,4,4,4..........):}/{:(,,,,,),(8.,6,6,6,6,6):}`
Let `x=8.6 6 6 6 6 (1)`
` 10x=86.6 6 6 6 (2) `
Subtracting (1) from (2)
`10x=8 6.6 6 6 6 6 6 6 6 6` ______
`x=8.6 6 6 6 6 6 6 6 6` _______
`9x=78.0000`
`x=(78)/(9)`
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS AND LCM AND HCF

    PEARSON IIT JEE FOUNDATION|Exercise Level -2|18 Videos

  • REAL NUMBERS AND LCM AND HCF

    PEARSON IIT JEE FOUNDATION|Exercise level -3|1 Videos

  • REAL NUMBERS AND LCM AND HCF

    PEARSON IIT JEE FOUNDATION|Exercise Essay type questions|5 Videos

  • RATIO, PROPORTION AND VARIATION

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION|60 Videos

  • SETS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL 3) |8 Videos

Similar Questions

Explore conceptually related problems

Find the value of 5.overline 2

If overline(c)=2overline(a)+5overline(b), |overline(a)|=a, |overline(b)|=b and the angle between overline(a) and overline(b) is (pi)/(3) , then c^(2) =

Let overline a be vectors parallel to line of intersection of planes p_1 and p_2 through origin. If p_1 is parallel to the vectors 2overline j + 3 overline k and 4overline j - 3 overline k and p_2 is parallel to overline j - overline k and 3overline i - 3overline j, then the angle between overline a and 2overline i + overline j - 2overlinek is (A) pi/2 (B) pi/4 (C) pi/3 (D) pi/6

If overline(a) is perpendicular to overline(b) and overline(c), |overline(a)|=2, |overline(b)=3, |overline(c)|=4 and the angle between overline(b) and overline(c) is (2pi)/(3) , then |[[overline(a), overline(b), overline(c)]]|=

If |overline(c)|=1 and overline(c) is perpedicular to overline(a) and overline(b) such that the angle between overline(a) and overline(b) is (pi)/(4) , then [[overline(a), overline(b), overline(c)]]=

The work done by a force overlineF = 2 overline i- overline j-overline k in moving an object from origin to a point whose position vector is overline r = 3 overline i + 2 overline j - 5 overline k .

If overline(b)=2hat(i)+hat(j)-hat(k), overline(c)=hat(i)+3hat(k) and overline(a) is a unit vectors, then the maximum value of [[overline(a), overline(b), overline(c)]] is

If |overline(a)|=5, |overline(b)|=3, |overline(c)|=4 and |overline(a)| is perpendicular to |overline(b)| and |overline(c)| such that the angle between |overline(b)| and |overline(c)| is (5pi)/(6) , then [[overline(a),overline(b), overline(c)]]=

PEARSON IIT JEE FOUNDATION-REAL NUMBERS AND LCM AND HCF -Concept application Level -1
  1. Which of the following statements are / is true ?

    Text Solution

    |

  2. The absolute value of 12xx(-3)+12-15 is

    Text Solution

    |

  3. In the set of rational numbers, multiplicative identify is and the ad...

    Text Solution

    |

  4. If a,b in P and a * b, in P. Then P is under the operation *.

    Text Solution

    |

  5. What is the number in the units place of (763)^84 ?

    Text Solution

    |

  6. The HCF of all the natural numbers from 200 to 478 is

    Text Solution

    |

  7. Find the greatest number that divides 59 and 54 leaving remainders 3 a...

    Text Solution

    |

  8. Find the HCF of the first 100 natural numbers.

    Text Solution

    |

  9. Find the units digit in the expansion of (44)^44+(55)^55+(88)^88.

    Text Solution

    |

  10. Find the least number exactly divisible by 36 and 24.

    Text Solution

    |

  11. Find the digit in the units place of (676)^99.

    Text Solution

    |

  12. The LCM of (5)/(12),(6)/(5),(3)/(2)and (4)/(17) is

    Text Solution

    |

  13. Find the number of factors of 1080.

    Text Solution

    |

  14. If p,q and r are prime numbers such that r=q+2 and q=p+2, then the num...

    Text Solution

    |

  15. If a in N and 1 le a le 20, then find the number of prime numbers in t...

    Text Solution

    |

  16. The GCD of two numbers is 128 and their LCM is 256. Then their product...

    Text Solution

    |

  17. The absolute value of 25-(25+10)+25div125xx25 is

    Text Solution

    |

  18. Find the LCM of 12, 48 and 36. The following are the sequential orde...

    Text Solution

    |

  19. Find the GCD of the fractions (3)/(5),(4)/(7)and (7)/(10). The followi...

    Text Solution

    |

  20. Find the sum of 3.overline2 and 5.overline4.

    Text Solution

    |