Quiz Discussion

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 :

Course Name: Quantitative Aptitude

  • 1] 13
  • 2] 9
  • 3] 21
  • 4] 17
Solution
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# Quiz
1
Discuss

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

  • 1]

    -30

  • 2]

    41

  • 3]

    -23

  • 4]

    -34

Solution
2
Discuss

Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.

  • 1] 5
  • 2] 6
  • 3] 4
  • 4] 3
  • 5] 7
Solution
3
Discuss

A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :

  • 1]

    \(\frac{{{3^{10}}}}{2}\)

  • 2]

    310 - 210

  • 3]

    243 × (35 -1)

  • 4]

    310 - 25

  • 5]

    None of these

Solution
4
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
5
Discuss

(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n - 1 times) = ......

  • 1]

    \(\frac{{n\left( {n + 1} \right)}}{2}\)

  • 2]

    \(\frac{{n\left( {n - 1} \right)}}{2}\)

  • 3]

    \({n^2}\)

  • 4]

    n

Solution
6
Discuss

If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is

 

  • 1]

    -2

  • 2]

    -3

  • 3]

    2

  • 4]

    3

Solution
7
Discuss

A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas all the square.

  • 1] 32 Cm2
  • 2] 16 Cm2
  • 3] 20 Cm2
  • 4] 64 Cm2
  • 5] None of these
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 n terms of an A.P. is 3n2 + 5n then which of its terms is 164 ?

  • 1] 26th
  • 2] 27th
  • 3] 28th
  • 4] None of these
Solution
10
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
# Quiz