Quiz Discussion

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

 

Course Name: Quantitative Aptitude

  • 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
No Solution Present Yet

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How many 2-digit positive integers are divisible by 4 or 9?

  • 1]

    32

  • 2]

    22

  • 3]

    34

  • 4]

    30

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If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of (p + q) terms will be

  • 1] 0
  • 2] p - q
  • 3] p + q
  • 4] -(p + q)
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If the 7th term of a H.P. is 1/10 and the 12th term is 1/25, then the 20th term is

  • 1]

    1/41

  • 2]

    1/45

  • 3]

    1/49

  • 4]

    1/37

Solution
4
Discuss

If log 2, log (2x -1) and log (2x + 3) are in A.P, then x is equal to ___

  • 1]

     

    5/2

  • 2]

    log25

  • 3]

    log32

  • 4]

     

    3/2

Solution
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Discuss

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

  • 1]

    56

  • 2]

    62

  • 3]

    65

  • 4]

    69

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
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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

If a + 1, 2a + 1, 4a - 1 are in A.P., then the value of a is:

  • 1] 1
  • 2] 2
  • 3] 3
  • 4] 4
Solution
9
Discuss

Find the nth term of the following sequence :

  • 1]

    5(10n - 1)

  • 2]

    5n(10n - 1)

  • 3]

    \(\frac{5}{9} \times \left( {{{10}^n} - 1} \right)\)

  • 4]

    \({\left( {\frac{5}{9}} \right)^n} \times \left( {{{10}^n} - 1} \right)\)

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

  • 1] 53
  • 2] 49
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  • 4] 61
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