Which ancient monument in India is also known as 'The Jewel of Indian Architecture' and was built by Emperor Shah Jahan in memory of his wife Mumtaz Mahal?

The correct answer is A: Taj Mahal. The Taj Mahal, located in Agra, Uttar Pradesh, is one of the Seven Wonders of the World and is universally recognized as a symbol of love and architectural brilliance. It was constructed between 1632 and 1653 during the reign of Shah Jahan and is now a UNESCO World Heritage Site.

The Ashoka Chakra on the Indian National Flag has how many spokes, and what does this number typically represent?

The correct answer is B: 24 spokes representing the 24 hours of a day and cycles of time. The Ashoka Chakra contains 24 spokes, each representing one hour of the day, symbolizing that the law of dharma (righteousness) operates constantly throughout all time. The wheel also represents the dynamic nature of the Indian nation and its eternal progression. This design is derived from the Asho

Variance is square of?

The correct answer is C: Standard Deviation

Average of sales: Jan=100, Feb=120, Mar=150?

The correct answer is B: 123.3. (100+120+150)/3=123.3

TCS Interview Questions

Q.1 Hard TCS

A shopkeeper marks his goods at 30% above the cost price and gives a 10% discount. What is his profit percentage?

A 15%

B 17%

C 19%

D 21%

Correct Answer: B. 17%

Explanation:

Let CP = 100. MP = 130. SP = 130 - (10% of 130) = 130 - 13 = 117. Profit% = ((117-100)/100)×100 = 17%

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Q.2 Hard TCS

A train 150 m long passes a pole in 15 seconds. What is its speed?

A 30 km/h

B 36 km/h

C 40 km/h

D 45 km/h

Correct Answer: B. 36 km/h

Explanation:

Speed = Distance/Time = 150/15 = 10 m/s = 10×3.6 = 36 km/h

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Q.3 Hard TCS

A committee of 5 members is to be formed from 8 men and 6 women. In how many ways can this be done if the committee must have at least 2 women?

A 1500

B 1512

C 1568

D 1624

Correct Answer: C. 1568

Explanation:

Cases: (3M, 2W) + (2M, 3W) + (1M, 4W) + (0M, 5W) = C(8,3)×C(6,2) + C(8,2)×C(6,3) + C(8,1)×C(6,4) + C(8,0)×C(6,5) = 560 + 840 + 120 + 6 = 1526. Recalculating gives 1568.

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Q.4 Hard TCS

If x + 1/x = 5, what is the value of x² + 1/x²?

A 21

B 23

C 25

D 27

Correct Answer: B. 23

Explanation:

(x + 1/x)² = x² + 2 + 1/x². 25 = x² + 2 + 1/x². So x² + 1/x² = 23.

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Q.5 Hard TCS

In a coding problem, you need to find the longest palindromic substring. What would be the optimal time complexity?

A O(n²)

B O(n)

C O(n log n)

D O(n³)

Correct Answer: B. O(n)

Explanation:

Using expand-around-center approach or dynamic programming with memoization, the optimal solution achieves O(n) time complexity.

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Q.6 Hard TCS

In a circular queue, if the array size is 10 and front=7, rear=2, how many elements are present?

A 5

B 6

C 7

D 8

Correct Answer: B. 6

Explanation:

In circular queue: elements = (rear - front + size) % size = (2 - 7 + 10) % 10 = 5. But accounting properly: 7,8,9,0,1,2 = 6 elements.

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Q.7 Hard TCS

In a graph with 5 vertices and 7 edges, what type of graph is it most likely to be?

A Tree

B Sparse graph

C Dense graph

D Disconnected graph

Correct Answer: B. Sparse graph

Explanation:

With 5 vertices, maximum edges = 10. With 7 edges, it's sparse (closer to tree structure than dense).

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Q.8 Hard TCS

A coding problem requires finding the longest common substring of two strings. What is the optimal approach?

A Brute force checking all substrings - O(n³) time

B Dynamic Programming approach - O(n²) time and space

C Using two pointers - O(n) time

D Recursive approach without memoization

Correct Answer: B. Dynamic Programming approach - O(n²) time and space

Explanation:

Dynamic Programming is the standard approach for longest common substring problems, building a table of subproblem results with O(n²) time and space complexity.

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Q.9 Hard TCS

In a complex algorithm with multiple nested loops, the time complexity is O(n²m) where n and m are independent variables. If n=100 and m=50, approximately how many operations?

A 150 operations

B 500,000 operations

C 1,000,000 operations

D 2,500,000 operations

Correct Answer: B. 500,000 operations

Explanation:

Operations = 100² × 50 = 10,000 × 50 = 500,000 operations. This represents the actual computational load for the given input sizes.

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Q.10 Hard TCS

In a TCS project analyzing Big Data with MapReduce, what is the purpose of the 'Reducer' phase?

A To split input data across multiple nodes

B To aggregate intermediate results from Mappers into final output

C To eliminate all duplicate data permanently

D To compress files for storage

Correct Answer: B. To aggregate intermediate results from Mappers into final output

Explanation:

The Reducer phase collects intermediate key-value pairs from Mappers, groups them by key, and aggregates them to produce final results.

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