NPTEL Mock Test-2 2025-2026 | Q 63

Question

$\text{ If P = 3, R = 27, T = 243, then Q + S = ________. }$

A. 40

B. 80

C. 90

D. 110

Answer 1

According to the question , Q= 9 , S= 81

Therefore , Q+S= 90

Option C

Comments

how did you find the values of Q and S 😀 ?

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its nothing bt the square and power $4$ bcz its making a series of  $ 3^1 $  , $3^2$ and so on..

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P = 3

Q = 3x3=9

R= 3x3x3=27

S= 3x3x3x3=81 and so on..

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got it , thank you !!

Answer 2

So the correct answer will be Option C i.e 90.

Answer 3

Alphabetical Order

P   Q   R   S   T

3   _   27   _   243

3   _   3^3  _  3^5

so Q+S = 3^2 + 3^4

Q+S = 9 + 81

=>90

Option: C

Answer 4

So the solution is:

• P = 3 = 3^1

• R = 27 = 3^3

• T = 243 = 3^5

Sequence is powers of 3:
3^1 = 3, 3^2 = 9, 3^3 = 27, 3^4 = 81, 3^5 = 243

So:

• Q = 3^2 = 9

• S = 3^4 = 81

Q + S = 9 + 81 = 90

✅ Answer: C. 90