Statement I: Genetically modified plants are more tolerant to abiotic stress.
Genetically modified (GM) plants are those that have been altered through genetic engineering techniques to introduce specific traits or characteristics. One of the potential benefits of genetically modifying plants is to enhance their tolerance to abiotic stress, such as drought, temperature extremes, or salinity.

Explanation:
- Abiotic stress refers to non-living factors in the environment that can negatively affect plant growth and development.
- Through genetic engineering, scientists can introduce genes into plants that code for proteins or enzymes that help the plants cope with abiotic stress.
- For example, genes from bacteria or other plants that confer drought tolerance can be introduced into crop plants, making them more resilient in water-limited conditions.
- Similarly, genes that enhance tolerance to temperature extremes or salinity can also be incorporated into plants through genetic modification.
- These modifications can help plants to better withstand challenging environmental conditions, ultimately leading to improved crop yields and food security.

Statement II: GM plants enhance the nutritional value of food.
Another potential benefit of genetically modifying plants is to enhance their nutritional content. This can be achieved by introducing genes that increase the production of specific vitamins, minerals, or other important nutrients in the plants.

Explanation:
- Genetic engineering techniques can be used to introduce genes that code for enzymes or proteins involved in the synthesis or accumulation of specific nutrients.
- For example, genes that increase the production of vitamin A can be introduced into staple crops like rice or maize, addressing vitamin A deficiency in populations that heavily rely on these crops.
- Similarly, genes that enhance iron or zinc accumulation can be introduced, addressing mineral deficiencies that are widespread in certain regions.
- By enhancing the nutritional content of crops through genetic modification, it is possible to improve the nutritional status of populations, particularly in developing countries where access to diverse and nutritious diets may be limited.

Statement III: GM plants products are carcinogenic.
The statement that GM plant products are carcinogenic is incorrect. There is currently no scientific evidence to support the claim that genetically modified plants or their products are inherently carcinogenic.

Explanation:
- The safety of genetically modified crops and their products is extensively assessed and regulated by various governmental agencies and scientific organizations.
- Before any genetically modified crop can be commercialized, it undergoes rigorous testing to ensure its safety for human consumption and the environment.
- These assessments include evaluating the potential allergenicity, toxicity, and nutritional composition of GM plants and their products.
- To date, numerous scientific studies have been conducted on genetically modified crops, and the consensus among scientific experts is that they are as safe for consumption as their non-GM counterparts.
- However, it is important to note that the safety of any new crop variety, including GM crops, should be assessed on a case-by-case basis, taking into consideration the specific traits introduced and potential risks associated with them.

Conclusion:
In conclusion, statement I and II are correct, while statement III is incorrect. Genetically modified plants can indeed exhibit enhanced tolerance to abiotic stress and have the potential to enhance the nutritional value of food. However, there is currently no scientific evidence to support the claim that GM plant products are carcinogenic.