A. There is a strong manufacturing base for a variety of products.
B. India has come a long way on the technology front.
C. But the technology adopted has been largely of foreign origin.
D. There are however areas such as atomic energy, space, agriculture, and defense where significant strides have been made in evolving relevant technologies within the country.
Rearrange the following parts to form a meaningful and grammatically correct sentence:
P. a healthy diet and regular exercise
Q. are important habits
R. that help maintain good physical and mental health
S. especially in today's busy world
Reorder the sentences into a meaningful paragraph:
1. The sun was setting behind the hills.
2. Birds were returning to their nests.
3. The sky was painted in shades of orange.
4. A cool breeze started blowing.
Rearrange the following parts to form a meaningful and grammatically correct sentence:
P. that maintaining a positive attitude
Q. even in difficult situations
R. is essential for success
S. and helps overcome obstacles effectively
For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is: