There are 2 APs, each having 3 terms whose common difference differ by 1. find

Question

There are 2 APs, each having 3 terms whose common difference differ by 1. find the two APs.
1. Sum of the three consecutive terms is 15
2. P and

Options:

A . Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient

B . Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C . EACH statement ALONE is sufficient.

D . BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

E . Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Answer: Option E
:
E

Answer=option (e)

If the three terms

AP 1 = a-d,a and a+d

AP 2 = A, A-D and A+D and D= d+1

S= 3a = 3A= 15. a=A=5

Also, P/P1= {a(a²-d²)}/ {(A²-D²)} = 7/8

It is not possible to get a unique solution, even after using both statements. Answer is

option (e)

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