Language models, characterized by their blackbox nature, often hallucinate and display sensitivity to input perturbations, causing concerns about trust.To enhance trust, it is imperative to gain a comprehensive understanding of the model's failure modes and develop effective strategies to improve their performance.In this study, we introduce a methodology designed to examine how input perturbations affect language models across various scales, including pre-trained models and large language models (LLMs).Utilizing fine-tuning, we enhance the model's robustness to input perturbations.Additionally, we investigate whether exposure to one perturbation enhances or diminishes the model's performance with respect to other perturbations.To address robustness against multiple perturbations, we present three distinct fine-tuning strategies.Furthermore, we broaden the scope of our methodology to encompass large language models (LLMs) by leveraging a chain of thought (CoT) prompting approach augmented with exemplars.We employ the Tabular-NLI task to showcase how our proposed strategies adeptly train a robust model, enabling it to address diverse perturbations while maintaining accuracy on the original dataset.