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
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
2
Discuss

The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its

  • 1] 24th term
  • 2] 27th term
  • 3] 26th term
  • 4] 25th term
Solution
3
Discuss

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

  • 1]

    -30

  • 2]

    41

  • 3]

    -23

  • 4]

    -34

Solution
4
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
5
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
6
Discuss

Consider an infinite G.P. with first term a and common ratio r, its sum is 4 and the second term is 3/4, then

  • 1]

    a = 7/4, r = 3/7

  • 2]

    a = 2, r = 3/8

  • 3]

    a = 3, r = 1/4

  • 4]

    a = 3/2, r = ½

Solution
7
Discuss

The sum of first n odd natural numbers in

  • 1] 2n - 1
  • 2] 2n + 1
  • 3] n2
  • 4] n2 - 1
Solution
8
Discuss

Which term of the A.P. 92, 88, 84, 80, ...... is 0?

  • 1]

    23

  • 2]

    32

  • 3]

    24

  • 4]

    28

Solution
9
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
10
Discuss

If 18th and 11th term of an A.P. are in the ratio 3 : 2, then its 21st and 5th terms are in the ratio

  • 1] 3 : 2
  • 2] 3 : 1
  • 3] 1 : 3
  • 4] 2 : 3
Solution
# Quiz