If demand increases while supply decreases for a particulargood;

1. its equilibrium price will increase while quantity of the good produced and sold could increase, decrease or remain constant..

Is it true?

I don't think so. Check this site.

http://www.investorwords.com/1723/equilibrium_price.html

Your supply curve does not change.

Your demand curve moves higher in price and volume.
The new intersection will be at a higher price.
Unless your curves are very strange, it will also be at a higher volume.
Therefore I would say false.

No. Draw initial supply and demand curves. You are given that demand increases -- so shift the demand curve outward. You are given that supply decreases -- so shift the supply curve inward. The new equilibrium price must be higher than before. However the direction of the change in quantity is uncertain. So, I say true.

Yes, that statement is true. When demand increases and supply decreases for a particular good, several outcomes are possible:

1. Equilibrium Price Increase: The increase in demand and decrease in supply cause an imbalance between the quantity demanded and the quantity supplied. As a result, the price of the good tends to rise as buyers compete for the limited supply available in the market.

2. Quantity of the Good Produced and Sold Could Increase: If the increase in demand is substantial and suppliers are able to meet the higher demand, they may decide to increase production to match the increased demand. In this case, both the equilibrium price and the quantity of the good produced and sold could increase.

3. Quantity of the Good Produced and Sold Could Decrease: If the decrease in supply is significant and suppliers are unable to meet the higher demand, they may reduce production. This could result in a decrease in both the equilibrium price and the quantity of the good produced and sold.

4. Quantity of the Good Produced and Sold Could Remain Constant: It is also possible that the increase in demand and decrease in supply cancel each other out, resulting in no change in the quantity of the good produced and sold. In this case, the equilibrium price would still increase due to the imbalance between demand and supply.

In summary, while the equilibrium price will increase in this scenario, the quantity of the good produced and sold could increase, decrease, or remain constant depending on the relative magnitudes of the changes in demand and supply.