HCF of 96, 144, and 192 is?

The correct answer is C: 48. 96 = 2^5 × 3, 144 = 2^4 × 3^2, 192 = 2^6 × 3. HCF = 2^4 × 3 = 16 × 3 = 48

If a number is increased by 40% and then decreased by 30%, the net change in the number is:

The correct answer is B: 2% decrease. **When a number undergoes multiple percentage changes, we must apply each change sequentially to find the net effect.** **Step 1: Apply the 40% Increase** Starting with an original number, a 40% increase multiplies it by 1.40. $$\text{After increase} = x \times 1.40 = 1.40x$$ **Step 2: Apply the 30%

Two workers can complete a job in 8 days and 12 days respectively. If they work together, in how many days will the job be completed?

The correct answer is A: 4.8 days. Rate of worker 1 = 1/8, worker 2 = 1/12. Combined rate = 1/8 + 1/12 = (3+2)/24 = 5/24. Time = 24/5 = 4.8 days.

A principal amount becomes ₹15,625 after 3 years at 25% per annum compound interest. What was the original principal?

The correct answer is A: ₹8,000. Step 1: Use A = P(1 + r/100)^n, rearranged to find P = A/(1 + r/100)^n. Step 2: 15625 = P(1.25)^3. Step 3: P = 15625/(1.25)^3 = 15625/1.953125 = ₹8,000. The original principal was ₹8,000.

A shopkeeper bought 100 kg of sugar at ₹20 per kg. He sold 60 kg at ₹25 per kg and 40 kg at ₹18 per kg. What is his overall profit or loss?

The correct answer is A: ₹120 profit. Step 1: Total CP = 100 × 20 = ₹2000. Step 2: Revenue from 60 kg at ₹25/kg = 60 × 25 = ₹1500. Revenue from 40 kg at ₹18/kg = 40 × 18 = ₹720. Total SP = 1500 + 720 = ₹2220. Step 3: Profit = 2220 - 2000 = ₹220. Wait, recalculating: 1500 + 720 = 2220, Profit = 2220 - 2000 = ₹220. But this doesn't match

Deloitte Interview Questions

Q.151 Hard Deloitte

A candidate is solving a problem on dynamic programming for the Infosys coding round. The problem involves overlapping subproblems and optimal substructure. What is the minimum number of steps to solve such problems?

A 1 step - direct solution

B 2 steps - define subproblems and find recurrence

C 3 steps - define subproblems, find recurrence, implement with memoization/tabulation

D 4 steps - analyze, define, find recurrence, and optimize further

Correct Answer: C. 3 steps - define subproblems, find recurrence, implement with memoization/tabulation

Explanation:

Dynamic programming requires defining subproblems, establishing recurrence relations, and implementing solutions using memoization or tabulation for optimization.

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Q.152 Medium Deloitte

Which certification is widely recognized and promoted by Infosys for cloud professionals?

A Microsoft Azure Fundamentals

B AWS Solutions Architect

C Google Cloud Professional

D All of the above

Correct Answer: D. All of the above

Explanation:

Infosys promotes multiple cloud certifications including AWS, Azure, and Google Cloud to ensure diverse skill sets among employees.

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Q.153 Easy Deloitte

In Infosys' agile methodology approach, what is a Sprint typically?

A 1-2 weeks

B 2-4 weeks

C 1-3 months

D 3-6 months

Correct Answer: B. 2-4 weeks

Explanation:

A Sprint in agile methodology is typically a 2-4 week iteration where teams work on defined deliverables with regular stand-ups and reviews.

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Q.154 Medium Deloitte

Infosys' strategy for business continuity and disaster recovery typically includes which of the following?

A Single data center backup only

B Geographic distribution of data centers with redundancy

C Manual recovery processes

D No backup systems

Correct Answer: B. Geographic distribution of data centers with redundancy

Explanation:

Infosys maintains geographic distribution of data centers across multiple regions with automated redundancy for business continuity.

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Q.155 Hard Deloitte

A complex algorithmic problem in Infosys placement requires analyzing a graph with weighted edges. What would be the optimal approach for finding the shortest path?

A Depth-first search (DFS)

B Breadth-first search (BFS)

C Dijkstra's algorithm for weighted graphs

D Linear search

Correct Answer: C. Dijkstra's algorithm for weighted graphs

Explanation:

Dijkstra's algorithm is the optimal choice for finding shortest paths in weighted graphs with non-negative weights, with O(E log V) complexity.

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Q.156 Medium Deloitte

Infosys' Vision 2040 framework emphasizes which key area?

A Maximizing profit only

B Sustainable and responsible business practices

C Market dominance through aggressive expansion

D Reducing employee benefits

Correct Answer: B. Sustainable and responsible business practices

Explanation:

Infosys Vision 2040 focuses on sustainable business practices, environmental responsibility, and creating positive societal impact.

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Q.157 Easy Deloitte

Infosys' headquarters is located in which city?

A Mumbai

B Bangalore

C Hyderabad

D Pune

Correct Answer: B. Bangalore

Explanation:

Infosys headquarters is in Bangalore (now Bengaluru), Karnataka, India.

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Q.158 Medium Deloitte

A developer at Infosys needs to optimize a recursive function that calculates Fibonacci numbers. Which approach would be most efficient?

A Simple recursion with no modifications

B Memoization or dynamic programming

C Increasing the system RAM

D Using multiple threads

Correct Answer: B. Memoization or dynamic programming

Explanation:

Memoization or dynamic programming reduces time complexity from exponential to linear by caching previously computed results.

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Q.159 Medium Deloitte

In 2024-25, what is Infosys' primary focus for digital transformation services?

A Legacy system maintenance only

B Cloud, AI, and automation-driven solutions

C Hardware sales

D Real estate investment

Correct Answer: B. Cloud, AI, and automation-driven solutions

Explanation:

Infosys' 2024-25 strategy emphasizes cloud migration, artificial intelligence, and process automation for digital transformation.

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Q.160 Medium Deloitte

Which programming paradigm is most suitable for developing scalable microservices at Infosys?

A Procedural programming

B Object-oriented programming

C Functional programming

D Assembly language

Correct Answer: B. Object-oriented programming

Explanation:

Object-oriented programming provides modularity, encapsulation, and reusability necessary for scalable microservices architecture.

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