Quiz Discussion

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

If the sum of the series 2 + 5 + 8 + 11 … is 60100, then the number of terms are

• 1]

  100

• 2]

  150

• 3]

  200

• 4]

  250

The sum of first n odd natural numbers in

• 1] 2n - 1
• 2] 2n + 1
• 3] n2
• 4] n2 - 1

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

• 1] 53
• 2] 49
• 3] 57
• 4] 61

The sum of first five multiples of 3 is:

• 1]

  90

• 2]

  72

• 3]

  55

• 4]

  45

If 18th and 11th term of an A.P. are in the ratio 3 : 2, then its 21st and 5th terms are in the ratio

• 1] 3 : 2
• 2] 3 : 1
• 3] 1 : 3
• 4] 2 : 3

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

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

Which term of the A.P. 92, 88, 84, 80, ...... is 0?

• 1]

  23

• 2]

  32

• 3]

  24

• 4]

  28

Let S denotes the sum of n terms of an A.P. whose first term is a. If the common difference d is given by d = S_n – k S_n-1 + S_n-2 then k =

• 1]

  1

• 2]

  2

• 3]

  3

• 4]

  4