Quiz Discussion

The sum of the first and third term of an arithmetic progression is 12 and the product of first and second term is 24, then first term is

Course Name: Quantitative Aptitude

  • 1]

    4

  • 2]

    1

  • 3]

    8

  • 4]

    6

Solution
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# Quiz
1
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
2
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
3
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
4
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
5
Discuss

The number of terms of the A.P. 3, 7, 11, 15, ....... to be taken so that the sum is 406 is

  • 1]

    5

  • 2]

    10

  • 3]

    12

  • 4]

    14

Solution
6
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] 10
  • 2] 12
  • 3] 9
  • 4] 8
Solution
7
Discuss

The sum of first five multiples of 3 is:

  • 1] 45
  • 2] 65
  • 3] 75
  • 4] 90
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

The common difference of the A.P. \(\frac{1}{3}, \frac{{1 - 3b}}{3} , \frac{{1 - 6b}}{3}\)   . . . . . . is

 

  • 1]

    \(\frac{1}{3}\)

  • 2]

    \( - \frac{1}{3}\)

  • 3]

    -b

  • 4]

    b

Solution
10
Discuss

Find the 15th term of the sequence 20, 15, 10 . . . . .

  • 1] -45
  • 2] -55
  • 3] -50
  • 4] 0
Solution
# Quiz