If `S_1 = 3, 7, 11 15, …` upto 125 terms and `S_2 = 4, 7, 10, 13, 16, …` upto 125 terms the how many terms are there in `S_1` that are there in `S_2` ?

Options

A. 29
B. 30
C. 31
D. 32

Answer

C

Explanation

(i) Common terms is `S_1 and S_2` are 7, 19, 31, ...
(ii) The first term of `S_1` is 3. The 125th term is 499.
The first term of `S_2` is 4. The 125th term is 376.
(iii) The last common term is 367 ( and not 499).
(iv) `7 = 12(1) - 5, 19= 12(2) -5,..., 367= 12(31)-5`.