Number Series, Coding, Odd Man OutMTP March 22Question 2058 of 217
All Questions

The missing term of series 11,10,?,27,66,198.5\displaystyle 11, 10, ?, 27, 66, 198.5

Options

A14\displaystyle 14
B16\displaystyle 16
C21\displaystyle 21
D19\displaystyle 19
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option a — 14\displaystyle 14

All Options:

  • A14\displaystyle 14
  • B16\displaystyle 16
  • C21\displaystyle 21
  • D19\displaystyle 19

Detailed Solution & Explanation

To find the missing term of the series 11,10,?,27,66,198.5\displaystyle 11, 10, ?, 27, 66, 198.5, we analyze the multiplication and subtraction pattern of successive terms:

Let Tn\displaystyle T_n represent the n\displaystyle n-th term of the series. The pattern is defined by multiplying each term by a factor that increases by 0.5\displaystyle 0.5 at each step, and then subtracting 1\displaystyle 1:
Tn+1=Tn×(1+0.5×(n−1))−1T_{n+1} = T_n \times (1 + 0.5 \times (n-1)) - 1
Let us compute the terms sequentially:
1st term to 2nd term:
11×1.0−1=1011 \times 1.0 - 1 = 10
2nd term to 3rd term (missing term):
10×1.5−1=1410 \times 1.5 - 1 = 14
3rd term to 4th term:
14×2.0−1=2714 \times 2.0 - 1 = 27
4th term to 5th term:
27×2.5−1=66.527 \times 2.5 - 1 = 66.5
*Note:* The textbook/question lists this term as 66\displaystyle 66. This is a minor typographical error in the source material, as the correct value should be 66.5\displaystyle 66.5 to maintain the logical progression.

5th term to 6th term (using the correct value 66.5\displaystyle 66.5):
66.5×3.0−1=199.5−1=198.566.5 \times 3.0 - 1 = 199.5 - 1 = 198.5
This perfectly matches the final term given in the series, mathematically proving that the missing term is 14\displaystyle 14.

Hence, **Option A** is the correct answer.

More Questions from Number Series, Coding, Odd Man Out

The number in place of question mark in: 7,26,63,124,215,?,511\displaystyle 7, 26, 63, 124, 215, ?, 511 is

Find missing term 7,26,63,124,215,342,?\displaystyle 7, 26, 63, 124, 215, 342, ?

Which number should come next 7,26,63,124,215,342,?\displaystyle 7, 26, 63, 124, 215, 342, ?

If CLOCK is coded as 34235 and TIME as 8679, then MOTEL is coded as:

If MOUSE, is coded as 34651 and KEY is coded as 217, then how will YES be coded?

In a certain code language PREMONITION is written as 68530492904\displaystyle 68530492904, how will the word MONITOR be written in that code language?

Ready to Master Number Series, Coding, Odd Man Out?

Practice all 217 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free