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Virtusa Data Science Interview Questions & Answers

Curated interview practice questions with answers. These are practice scenarios, not a verified list of past interview questions.

About Virtusa hiring for Data Science roles

Virtusa is a digital engineering and IT services company providing application development, testing, cloud and data services. It has a strong client base in banking, financial services, healthcare and telecom. Its India centres in Hyderabad, Chennai and Bengaluru hire for software engineers, test engineers and data professionals.

For Data Science roles, this Virtusa practice set focuses most on Machine Learning (9), Python for Data Science (7), Statistics and Probability (5), Feature Engineering (4). It has 16 easy, 24 medium questions, so you can start easy and work up to the harder ones.

Company type
IT services
Headquarters
Southborough, Massachusetts, USA
Main India offices
Hyderabad, Chennai, Bengaluru

Virtusa Data Science interview process

  1. Online assessment (aptitude + reasoning)
  2. Coding test
  3. Technical interview
  4. HR round

Typical pattern based on public candidate experiences. Rounds vary by role, team and year.

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01

What is gradient descent and what does the learning rate do?

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An optimisation method that updates weights in the opposite direction of the loss gradient. The learning rate sets the step size: too high and it diverges, too low and it is slow. Variants include SGD, mini-batch and Adam.
02

How do you deal with high-cardinality categorical features?

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Use target or frequency encoding with cross-validation, hashing, embeddings or grouping rare categories, instead of huge one-hot matrices.
03

Explain precision vs recall. When would you prefer recall?

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Precision = TP / (TP + FP). Recall = TP / (TP + FN). Prefer recall when missing a positive is costly — for example disease screening or fraud detection.
04

Explain Bayes' theorem with an example.

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P(A given B) = P(B given A) x P(A) / P(B). In a medical test it converts test accuracy and disease prevalence into the real chance a positive result means disease.
05

What is the difference between a set and a dictionary?

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A set stores unique values with no keys; a dictionary stores key-value pairs with unique keys. Both use hashing, so lookups are O(1) on average.
06

A Pandas merge suddenly returns many more rows than the left table had. What happened?

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The join key is probably not unique on the right side, so each left row matches several right rows and the result multiplies. Check with right['key'].duplicated().sum(). Other causes are null or blank keys matching each other after cleaning, or joining on the wrong column. Fix it by deduplicating or aggregating the right table first, and use merge(..., validate='many_to_one') so Pandas raises an error when the assumption breaks.
07

Explain ROC curve and AUC.

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The ROC curve plots true positive rate against false positive rate across thresholds. AUC is the probability that a random positive is ranked above a random negative; 0.5 is chance.
08

How is an image represented for a deep learning model?

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An image is a numeric array of height by width by channels, where a colour image has three channels, usually RGB, with pixel values from 0 to 255. Libraries differ: OpenCV loads BGR in HWC order, while PyTorch expects tensors in CHW order with a batch dimension in front. Before training you convert to float, scale to 0-1 and normalise with the mean and standard deviation used by the pretrained model.
09

What are decorators in Python?

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A decorator wraps a function to add behaviour such as logging, timing or caching without changing its code. It is applied with the @name syntax above the function.
10

What is regularization? Explain L1 vs L2.

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Regularization adds a penalty on weights to reduce overfitting. L1 (Lasso) adds |w| and can push features to exactly zero. L2 (Ridge) adds w² and shrinks weights smoothly.
11

Tell me about a time you found a data quality issue using SQL.

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Situation: during my internship I was building a monthly sales report. Task: make sure numbers were correct before sharing. Action: I compared order counts per day and noticed one day had double the usual orders. A GROUP BY on order_id showed every order that day appeared twice because a load job had run twice. Result: I reported it, the data team removed duplicates and added a uniqueness check. Now I always validate row counts.
12

Explain train, validation and test sets.

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Train fits the model, validation tunes hyperparameters and model choice, and the untouched test set gives a final unbiased estimate of performance.
13

What is the difference between one-hot, label and ordinal encoding?

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One-hot encoding creates a binary column per category and suits nominal data like city for linear models. Label encoding maps categories to integers arbitrarily; it is fine for tree models but implies a false order for linear models. Ordinal encoding also uses integers but in a meaningful order, like low, medium, high mapped to 0, 1, 2. Choose based on whether categories have a natural order and which model you use.
14

What is sampling bias and how can you reduce it?

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Bias occurs when the sample does not represent the population. Reduce it with random or stratified sampling, higher response rates and by checking sample demographics against the population.
15

Write Python code to decompose a monthly series into trend, seasonal and residual parts with STL.

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import pandas as pd from statsmodels.tsa.seasonal import STL s = df.set_index('month')['sales'].asfreq('MS') res = STL(s, period=12, robust=True).fit() parts = pd.DataFrame({ 'trend': res.trend, 'seasonal': res.seasonal, 'resid': res.resid }) print(parts.tail()) res.plot()
16

Tell me about a time an experiment result changed a product decision.

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Situation: the team was confident a redesigned home page would increase orders. Task: I owned the experiment design and analysis. Action: I set conversion as primary and session length and refunds as guardrails, ran it for two full weeks and found no lift in orders but a drop for older app versions. Result: we fixed the performance issue, retested, and shipped a version that raised orders by about 1.5 percent.
17

What is feature scaling and which models need it?

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Putting features on comparable ranges using standardisation or min-max scaling. Distance-based and gradient-based models (KNN, SVM, regression, neural nets) need it; tree models do not.
18

What is the Augmented Dickey-Fuller test?

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The ADF test checks whether a series has a unit root, which means it is non-stationary. The null hypothesis is that a unit root exists. A small p-value, say below 0.05, lets you reject the null and treat the series as stationary. It is often paired with the KPSS test, whose null is the opposite, stationarity. Using both gives a more reliable conclusion before choosing how much to difference.
19

Your fraud model has 99 percent accuracy, but the business says it catches almost no fraud. Why?

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If only 1 percent of transactions are fraud, a model that predicts not fraud for everything is 99 percent accurate and useless. Accuracy hides the minority class. I would check the confusion matrix, recall on fraud cases and precision-recall AUC. Then fix it with class weights, resampling or a lower decision threshold, and choose the threshold based on the cost of missed fraud versus false alerts.
20

Explain p-value in simple words.

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The probability of seeing a result at least this extreme if the null hypothesis were true. A small p-value (for example < 0.05) is evidence against the null hypothesis.
21

What are RNNs and why did LSTMs improve them?

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RNNs process sequences with a hidden state but struggle with long dependencies. LSTMs add gates that control what to remember or forget, easing the vanishing gradient.
22

What is the difference between == and is?

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== compares values for equality, while is checks whether two names point to the same object in memory. Use is mainly for None checks.
23

Why are NumPy arrays faster than Python lists?

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They store same-type values in contiguous memory and run vectorised operations in compiled C, avoiding Python loop overhead and per-object type checks.
24

What is cross-validation and why use it?

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Split the data into k folds, train on k−1 folds and validate on the remaining one, rotate and average the scores. It gives a more reliable estimate than one split and helps tune hyperparameters without touching the test set.
25

What is statistical power and how can you increase it?

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Power is the probability of detecting a real effect. Increase it with a larger sample, a bigger effect size, lower noise or a higher significance level.
26

Tell me about a time you had to build a model when the requirements were unclear.

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Situation: a sales head asked for a model to find good leads but could not define good. Task: turn this into a clear target. Action: I met the team, looked at past deals, and proposed converted within 60 days as the label, with expected revenue as a secondary view. I shared a quick baseline in a week to get feedback. Result: the definition was agreed, and the final model raised conversion in the top decile.
27

How do you detect and treat concept drift?

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Monitor input distributions and live metrics, compare to training baselines, and retrain or recalibrate on fresh data when performance drops.
28

Write Pandas code to cap outliers at the 1st and 99th percentile.

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# fit limits on training data only, then apply to test low, high = train['income'].quantile([0.01, 0.99]) train['income_capped'] = train['income'].clip(low, high) test['income_capped'] = test['income'].clip(low, high)
29

How do one-stage and two-stage object detectors differ?

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Two-stage detectors, like Faster R-CNN, first propose candidate regions and then classify and refine each one, which gives strong accuracy, especially for small objects, but is slower. One-stage detectors, like YOLO and SSD, predict boxes and classes directly over a dense grid in a single pass, making them fast enough for real-time video. Modern one-stage models have closed most of the accuracy gap, so they dominate edge and video use cases.
30

What is standard deviation and what does it tell you?

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The square root of the variance; it measures how far values typically sit from the mean, in the same units as the data.
31

What are embeddings and vector databases, and why do LLM apps use them?

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An embedding model turns text into a vector so that similar meanings are close in space. A vector database stores these vectors with metadata and finds the nearest ones to a query vector quickly using approximate nearest neighbour indexes like HNSW. LLM apps use them for semantic search and retrieval-augmented generation, finding the most relevant documents to put into the prompt. Examples include pgvector, FAISS and dedicated vector stores.
32

Users say your internal chatbot gives outdated policy answers. What is the likely cause and fix?

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The knowledge index probably still holds old document versions, or the model is answering from its training data instead of retrieved context. Fix the ingestion pipeline to re-index on document change and remove superseded versions. Store effective dates in metadata and filter or boost the latest. Instruct the model to answer only from provided context and show the source with its date, so users can verify it.
33

Write SQL to find customers who ordered in January 2026 but not in February 2026.

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SELECT DISTINCT o.customer_id FROM orders o WHERE o.order_date >= '2026-01-01' AND o.order_date < '2026-02-01' AND NOT EXISTS ( SELECT 1 FROM orders f WHERE f.customer_id = o.customer_id AND f.order_date >= '2026-02-01' AND f.order_date < '2026-03-01' );
34

Pandas: find the top 3 products by revenue in each region.

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(df.assign(rev=df.price * df.qty) .groupby(['region', 'product'])['rev'].sum() .reset_index() .sort_values('rev', ascending=False) .groupby('region').head(3))
35

Write PyTorch code to fine-tune a pretrained ResNet-18 for a 5-class problem by replacing its final layer.

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import torch, torch.nn as nn from torchvision import models model = models.resnet18(weights=models.ResNet18_Weights.DEFAULT) for p in model.parameters(): p.requires_grad = False # freeze backbone model.fc = nn.Linear(model.fc.in_features, 5) opt = torch.optim.AdamW(model.fc.parameters(), lr=1e-3) loss_fn = nn.CrossEntropyLoss() # train head first, then unfreeze later layers with a lower lr
36

What are tokens and the context window in an LLM?

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Tokens are the pieces of text an LLM reads and writes, often word parts; in English, one token is roughly three quarters of a word. The context window is the maximum number of tokens the model can consider at once, including your prompt, any documents and its answer. Costs and speed depend on token counts. Long documents beyond the window must be chunked, summarised or retrieved selectively.
37

How do you pivot data in Pandas?

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pd.pivot_table(df, index='region', columns='month', values='sales', aggfunc='sum') reshapes long data into a summary matrix; melt() does the reverse.
38

What is the difference between regression and classification?

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Regression predicts continuous values such as price; classification predicts discrete categories such as spam or not spam.
39

How do you get reliable JSON output from an LLM?

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Use the provider's structured output or JSON schema mode when available, which constrains the output to your schema. Otherwise, describe the exact schema in the prompt with an example, and use low temperature. Always parse and validate the response in code, for example with Pydantic, and on failure retry with the error message included. Keep schemas small and flat, and use enums for fields with fixed values.
40

What is the difference between ROW_NUMBER, RANK and DENSE_RANK?

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All three number rows within a window ordered by some column. ROW_NUMBER gives unique numbers even for ties: 1, 2, 3. RANK gives tied rows the same rank and skips the next numbers: 1, 1, 3. DENSE_RANK gives ties the same rank without gaps: 1, 1, 2. Use ROW_NUMBER to pick exactly one row per group, and DENSE_RANK for questions like the second highest distinct salary.

Tips to crack the Virtusa Data Science interview

  • Revise banking and healthcare domain basics, which are important industries in Virtusa's client portfolio.
  • Practise coding questions and SQL queries for both the online test and technical interview.
  • Learn about its engineering-first positioning and be ready to describe how you approach learning new tools.
  • Keep a one-minute story ready for every project on your CV: problem, your part, tools, result.
  • Practise the hard questions on this page aloud; Virtusa interviewers usually ask follow-ups on your first answer.

Frequently asked questions

How many rounds are there in the Virtusa Data Science interview?

Candidates usually go through 4 stages: Online assessment (aptitude + reasoning); Coding test; Technical interview; HR round. The exact rounds change with the role, team, location and your experience, so confirm the process with the recruiter.

Which topics should I prepare for the Virtusa Data Science interview?

This practice set leans on Machine Learning (9), Python for Data Science (7), Statistics and Probability (5), Feature Engineering (4). Revise those first, then practise explaining one or two of your own projects end to end, because most Virtusa interviewers ask you to walk through real work.

Are these the exact questions asked at Virtusa?

No. These are curated practice questions that match the skills and difficulty usually tested in it services interviews like Virtusa's. They are not a leaked or verified list of past questions.

Where does Virtusa hire Data Science professionals in India?

Virtusa has large teams in Hyderabad, Chennai, Bengaluru. Openings and locations change often, so check the Virtusa careers page and filter by city and experience.

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