Column-I	Column-II
(A) Carbon nanoflorets made by IIT Bombay researchers can	(D) convert incident sunlight to heat with 87% efficiency.
(B) Aga Khan Foundation has given women in the Bihar district a	(E) will require technologies to access the valuable minerals from the ocean-bed
(C) The Deep Ocean Mission (DOM) is India’s ambitious quest to explore	(F) new source of income with state-of-the-art agricultural technology.

To find the correct combinations, we must match the sentence starters in Column-I with the suitable endings in Column-II to form grammatically correct and contextually meaningful sentences.

Let's analyze each possible pairing:

1. Pairing (A) and (D):
- Column-I (A): "Carbon nanoflorets made by IIT Bombay researchers can"
- Column-II (D): "convert incident sunlight to heat with 87% efficiency."
- Combined Sentence: "Carbon nanoflorets made by IIT Bombay researchers can convert incident sunlight to heat with 87% efficiency."
- Analysis: This sentence is grammatically sound. The auxiliary verb "can" is correctly followed by the base verb "convert", and it describes a logical scientific capability. Therefore, A-D is a correct pair.

2. Pairing (B) and (F):
- Column-I (B): "Aga Khan Foundation has given women in the Bihar district a"
- Column-II (F): "new source of income with state-of-the-art agricultural technology."
- Combined Sentence: "Aga Khan Foundation has given women in the Bihar district a new source of income with state-of-the-art agricultural technology."
- Analysis: The indefinite article "a" at the end of phrase (B) correctly precedes the singular noun phrase "new source of income..." starting in (F). The sentence is grammatically correct and coherent. Therefore, B-F is a correct pair.

3. Pairing (C) and (E):
- Column-I (C): "The Deep Ocean Mission (DOM) is India’s ambitious quest to explore"
- Column-II (E): "will require technologies to access the valuable minerals from the ocean-bed"
- Combined Sentence: "The Deep Ocean Mission (DOM) is India’s ambitious quest to explore will require technologies to access the valuable minerals from the ocean-bed"
- Analysis: This combination is grammatically incorrect. The verb "will require" directly follows the infinitive "to explore" without any relative pronoun (such as "which") or conjunction to connect the clauses. Therefore, C-E is not a valid pair.

Since only the pairs A-D and B-F form meaningful and grammatically correct sentences, the correct option is A-D & B-F.