Quiz Discussion

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

Course Name: Quantitative Aptitude

  • 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
No Solution Present Yet

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# Quiz
1
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What is the sum of the first 17 terms of an arithmetic progression if the first term is -20 and last term is 28?

  • 1] 68
  • 2] 156
  • 3] 142
  • 4] 242
Solution
2
Discuss

If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is

 

  • 1]

    -2

  • 2]

    -3

  • 3]

    2

  • 4]

    3

Solution
3
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
4
Discuss

The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, the number of terms in the sequence are:

  • 1]

    9

  • 2]

    10

  • 3]

    11

  • 4]

    12

Solution
5
Discuss

Sum of n terms of the series \(\sqrt 2   +   \sqrt 8   +   \sqrt {18}   +   \sqrt {32}   +  \) ....... is

 

  • 1]

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

  • 2]

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

  • 3]

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

  • 4]

    1

Solution
6
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
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

The sum of first five multiples of 3 is:

  • 1] 45
  • 2] 65
  • 3] 75
  • 4] 90
Solution
9
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
10
Discuss

What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2?

  • 1] 10,050
  • 2] 5050
  • 3] 5000
  • 4] 50,000
Solution
# Quiz