For the following questions answer them individually
A sum of money amounts to Rs.9800 in 5 years and Rs.12005 in 8 years at the same rate of simple interest. What is the rate of interest?
Mohan started from point A and proceeded 7 km straight towards east, then he turned left and proceeded straight for a distance of 10 km. He then turned left again and proceeded straight for a distance of 6 km, and then turned left again and proceeded straight for another 10 km. How far and in which direction is he from the point A?
Two varieties of rice each costing Rs.50 per kg and Rs.60 per kg respectively are mixed in some ratio, and the mixed rice is sold at Rs.70 per kg, so as to get 20% profit. What is the ratio in which the two varieties are mixed?
In this question, two statements are given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statements:
1) All colours are pants.
2) All pants are brushes.
Conclusions:
I. Some brushes are pants.
II. Some brushes are colours.
Simplify: $$ \frac{sin \theta - 2 sin ^ 3 \theta}{ 2 cos ^3 \theta - cos \theta} $$