Hinduism is an intrinsically scientific religion.
The Vedas themselves accurately describe very complicated geometric concepts including six-dimensional spaces, distances between celestial bodies, and using changing skylines to measure time, just to name a few examples ("Vedic Geometry Course" Dr. S. K. Kapoor). If you follow the Dhashavataram carefully, you will see that it perfectly mirrors the evolution of life on Earth as well as the emergence of increased social structure (and eventual decline) among humans.
Furthermore, it has been written that the Vedas themselves are to be consulted only in matters which cannot be resolved by either Pratyaksha (direct observation) or Anumana (inferences and inductions based on said observations, or in other words science).
The third category of knowledge, Sabda, refers to the Vedas themselves. Smritis, Itihasas, and Puranas are also included here where they "do not contradict the Vedas". Sabda is to be relied on to resolve questions which either have not yet been answered by Pratyaksha and Anumana (e.g. how does physics behave in a six-dimensional space?) or cannot be answered (e.g. what happens to the Atma after death?).
Info above paraphrased from: "A Dialogue on Hinduism", Sri V. N. Gopala Desikan, pg. 24-25
In other words, Vedas and science do not contradict each other. They lie orthogonal to each other. Our gurus want us to use science to answer any worldly questions, and seek the Vedas for matters that science does not or cannot answer.
Ultimately, it makes no sense to disallow scientific answers since Hinduism is a very scientific religion. Many of our beliefs stem directly from scientific facts (ritual purity and not shaving during certain months just to name a few).
EDIT I've posted a Q&A on this topic here: Does Science Contradict Hinduism? as I believe much of our discussion could be better suited on the main site itself. After all, this discussion feels more about the nature of Hinduism than the hinduism.stackexchange website.