Quiz Discussion

The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?

Course Name: Quantitative Aptitude

  • 1] 56
  • 2] 65
  • 3] 59
  • 4] 62
Solution
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# Quiz
1
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
2
Discuss

How many terms are there in 20, 25, 30 . . . . . . 140?

  • 1] 22
  • 2] 25
  • 3] 23
  • 4] 24
Solution
3
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
4
Discuss

If Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn , then S3n : Sn is equal to

  • 1] 4
  • 2] 6
  • 3] 8
  • 4] 10
Solution
5
Discuss

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

  • 1]

     

    5(10n - 1) 

  • 2]

     

    5n(10n - 1)

  • 3]

    5/9×(10n−1)

       

  • 4]

    (5/9)n×(10n−1)

Solution
6
Discuss

If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

  • 1] 53
  • 2] 49
  • 3] 57
  • 4] 61
Solution
7
Discuss

If three numbers be in G.P., then their logarithms will be in

  • 1]

    AP

  • 2]

    GP

  • 3]

    HP

  • 4]

     None Of This

Solution
8
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
9
Discuss

If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is :

  • 1] 13
  • 2] 9
  • 3] 21
  • 4] 17
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