Quiz Discussion

Find the nth term of the following sequence :
5 + 55 + 555 + . . . . Tn

Course Name: Quantitative Aptitude

  • 1]

     

    5(10n - 1) 

  • 2]

     

    5n(10n - 1)

  • 3]

    5/9×(10n−1)

       

  • 4]

    (5/9)n×(10n−1)

Solution
No Solution Present Yet

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# Quiz
1
Discuss

(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n - 1 times) = ......

  • 1]

    \(\frac{{n\left( {n + 1} \right)}}{2}\)

  • 2]

    \(\frac{{n\left( {n - 1} \right)}}{2}\)

  • 3]

    \({n^2}\)

  • 4]

    n

Solution
2
Discuss

If S1 is the sum of an arithmetic progression of ‘n’ odd number of terms and S2 is the sum of the terms of the series in odd places, then \(\frac{{{S_1}}}{{{S_2}}}\)

 

  • 1]

    \(\frac{{2n}}{{n + 1}}\)

  • 2]

    \(\frac{n}{{n + 1}}\)

  • 3]

    \(\frac{{n + 1}}{{2n}}\)

  • 4]

    \(\frac{{n - 1}}{n}\)

Solution
3
Discuss

The number of terms of the A.P. 3, 7, 11, 15, ....... to be taken so that the sum is 406 is

  • 1]

    5

  • 2]

    10

  • 3]

    12

  • 4]

    14

Solution
4
Discuss

If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be

  • 1] 0
  • 2] 1
  • 3] 2
  • 4] -1
Solution
5
Discuss

The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is

  • 1] 600
  • 2] 765
  • 3] 640
  • 4] 680
  • 5] 690
Solution
6
Discuss

The first and last term of an A.P. is a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \(\frac{{{l^2} - {a^2}}}{{k - \left( {l + a} \right)}}\)   then k = ?

 

  • 1] S
  • 2] 2S
  • 3] 3S
  • 4] None of these
Solution
7
Discuss

What is the sum of the first 13 terms of an arithmetic progression if the first term is -10 and last term is 26?

  • 1] 104
  • 2] 140
  • 3] 84
  • 4] 98
Solution
8
Discuss

A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :

  • 1]

    \(\frac{{{3^{10}}}}{2}\)

  • 2]

    310 - 210

  • 3]

    243 × (35 -1)

  • 4]

    310 - 25

  • 5]

    None of these

Solution
9
Discuss

A piece of equipment cost a certain factory 6,00,000. If it depreciates in value, 15% the first year, 13.5% the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?

  • 1] Rs. 2,00,000
  • 2] Rs. 1,05,000
  • 3] Rs. 4,05,000
  • 4] Rs. 6,50,000
Solution
10
Discuss

If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are

  • 1] 5, 10, 15, 20
  • 2] 4, 10, 16, 22
  • 3] 3, 7, 11, 15
  • 4] None of these
Solution
# Quiz