A table shows production (in units) of two factories: 
5:7
- Step 1: Calculate total for Factory X. Jan = 200, Feb = 250, Mar = 300.
Total = $200 + 250 + 300 = 750$.
- Step 2: Calculate total for Factory Y. Jan = 300, Feb = 350, Mar = 400.
Total = $300 + 350 + 400 = 1050$.
- Step 3: Find ratio.
Ratio X:Y = $750:1050$.
- Step 4: Simplify. $\frac{750}{1050} = \frac{75}{105} = \frac{5}{7}$.
Recalculate: $750 \div 150 = 5$, $1050 \div 150 = 7$.
- Step 5: Verify. Total X = 750, Y = 1050.
Ratio = $\frac{750}{1050} = \frac{5}{7}$.
- Step 6: Option (1) is answer

In a sequence of numbers, each term is generated by multiplying the previous term by 2 and then subtracting 1. If the first term is 3, what is the fourth term in the sequence?
A pie chart shows the distribution of students across 5 faculties in a university. If 20% are in Arts, 25% in Science, 15% in Law, 30% in Engineering, and the rest in Commerce, what is the angle (in degrees) for Commerce?
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: