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

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. |

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**Answer: Option E**

: E

Answer=option (e)If the three terms AP 1 = a-d,a and a+dAP 2 = A, A-D and A+D and D= d+1S= 3a = 3A= 15. a=A=5Also, P/P1= {a(a

^{2}-d

^{2})}/ {(A

^{2}-D

^{2})} = 7/8It is not possible to get a unique solution, even after using both statements. Answer isoption (e)

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