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

• 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 1

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

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)