Quiz Discussion

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

Course Name: Quantitative Aptitude

  • 1] 11
  • 2] 3
  • 3] 8
  • 4] 5
Solution
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# Quiz
1
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
2
Discuss

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

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

The 3rd and 8th term of an arithmetic progression are -13 and 2 respectively. What is the 14th term?

  • 1] 23
  • 2] 17
  • 3] 20
  • 4] 26
Solution
4
Discuss

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is

  • 1]

    10

  • 2]

    11

  • 3]

    12

  • 4]

    13

Solution
5
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
6
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]

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

Solution
7
Discuss

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

  • 1]

    32

  • 2]

    22

  • 3]

    34

  • 4]

    30

Solution
8
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
9
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
Solution
10
Discuss

If sum of n terms of an A.P. is 3n2 + 5n and Tm = 164 then m =

  • 1]

    26

  • 2]

    27

  • 3]

    28

  • 4]

    None Of This

Solution
# Quiz