Quiz Discussion

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 = ?

 

Course Name: Quantitative Aptitude

  • 1] S
  • 2] 2S
  • 3] 3S
  • 4] None of these
Solution
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# Quiz
1
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
2
Discuss

The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?

  • 1] 28
  • 2] 87
  • 3] 51
  • 4] 17
Solution
3
Discuss

What is the sum of the first 11 terms of an arithmetic progression if the 3rd term is -1 and the 8th term is 19?

  • 1] 204
  • 2] 121
  • 3] 225
  • 4] 104
Solution
4
Discuss

If a, b, c are in A.P., then (a – c)2/ (b2 – ac) =

  • 1]

    3

  • 2]

    4

  • 3]

    1

  • 4]

    2

Solution
5
Discuss

The sum of first five multiples of 3 is:

 

  • 1]

    90

  • 2]

    72

  • 3]

    55

  • 4]

    45

Solution
6
Discuss

What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?

  • 1]

    897

  • 2]

    1,64,850

  • 3]

    1,64,749

  • 4]

    1,49,700

Solution
7
Discuss

A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, and four rupees on third day and so on. How much will the boy get if he started working on the 1st of February and finishes on the 20th of February?

  • 1] 220
  • 2] 220 -1
  • 3] 219 -1
  • 4] 219
  • 5] None of these
Solution
8
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
9
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
10
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
# Quiz