Quiz Discussion

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 :

Course Name: Quantitative Aptitude

  • 1]

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

  • 2]

    310 - 210

  • 3]

    243 × (35 -1)

  • 4]

    310 - 25

  • 5]

    None of these

Solution
No Solution Present Yet

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# Quiz
1
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If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?

  • 1] 36
  • 2] 18
  • 3] 54
  • 4] 24
  • 5] 27
Solution
2
Discuss

If the sum of n terms of an A.P. be 3n2 + n and its common difference is 6, then its first term is

  • 1] 2
  • 2] 3
  • 3] 1
  • 4] 4
Solution
3
Discuss

The 4th and 7th term of an arithmetic progression are 11 and -4 respectively. What is the 15th term?

  • 1] -49
  • 2] -44
  • 3] -39
  • 4] -34
Solution
4
Discuss

The 3rd and 6th term of an arithmetic progression are 13 and -5 respectively. What is the 11th term?

  • 1] -29
  • 2] -41
  • 3] -47
  • 4] -35
Solution
5
Discuss

What is the sum of the following series? -64, -66, -68, ......, -100

  • 1] -1458
  • 2] -1558
  • 3] -1568
  • 4] -1664
Solution
6
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
7
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
8
Discuss

Two A.P.’s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is

  • 1] 11
  • 2] 3
  • 3] 8
  • 4] 5
Solution
9
Discuss

If the sums of n terms of two arithmetic progressions are in the ratio \(\frac{{3n + 5}}{{5n + 7}}\)   then their nth terms are in the ration

 

  • 1]

    \(\frac{{3n - 1}}{{5n - 1}}\)

  • 2]

    \(\frac{{3n + 1}}{{5n + 1}}\)

  • 3]

    \(\frac{{5n + 1}}{{3n + 1}}\)

  • 4]

    \(\frac{{5n - 1}}{{3n - 1}}\)

Solution
10
Discuss

After striking the floor, a rubber ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.

  • 1] 540 m
  • 2] 960 m
  • 3] 1080 m
  • 4] 1020 m
  • 5] 1120 m
Solution
# Quiz