The sum of two numbers is 14. Their difference is 10. What is their product?

Let the two numbers be $x$ and $y$.
The sum of the two numbers is 14:

$$x + y = 14 \quad (1)$$

The difference of the two numbers is 10:

$$x - y = 10 \quad (2)$$

Add equation (1) and equation (2):

$$(x + y) + (x - y) = 14 + 10$$ $$2x = 24$$ $$x = \frac{24}{2}$$ $$x = 12$$

Substitute the value of $x$ into equation (1):

$$12 + y = 14$$ $$y = 14 - 12$$ $$y = 2$$

Product $= x \cdot y$
Product $= 12 \cdot 2$
Product $= 24$

The correct option is B.

$$\boxed{\text{B) 24}}$$

32. Which of the following States will not be heading to Legislative Assembly polls in April/May 2026?

To determine which state will not have Legislative Assembly polls in April/May 2026, we need to consider the typical 5-year term for state assemblies and when the last elections were held for each state:

• Tamil Nadu: Last assembly elections were held in April 2021. The next elections are expected in April/May 2026.
• Assam: Last assembly elections were held in March-April 2021. The next elections are expected in March-April 2026.
• Kerala: Last assembly elections were held in April 2021. The next elections are expected in April/May 2026.
• Punjab: Last assembly elections were held in February 2022. The next elections are expected in February/March 2027.

Based on these schedules, Punjab will not be heading to Legislative Assembly polls in April/May 2026, as its next elections are due in 2027.

The correct option is D.

$$\boxed{\text{D) Punjab}}$$