Skip to content

Data Structures and Algorithms Interview Questions in Noida

36 practice questions with answers for Data Structures and Algorithms interviews in Noida.

Data Structures and Algorithms jobs in Noida

Noida is a major IT and IT-services hub in Delhi NCR with large campuses of service companies, product firms and fast-growing start-ups along the Noida–Greater Noida Expressway. Freshers often find their first role here, and many teams run hybrid work.

Below are 36 questions that match the mix of service, product and domain employers hiring software engineer (fresher / sde-1)s in Noida.

Solved for NoidaStart practicing
3 QUESTIONS FREESign up to unlock the full question bank and track your progress.Unlock every question and answer, then continue practising company-wise and package-wise.
3 questions free Unlock the rest in seconds
01

Why is naive recursive Fibonacci exponential, and how do you fix it?

Save to ▾
Show answer
fib(n) calls fib(n-1) and fib(n-2), and each of those branches again, so the call tree has roughly 1.6 to the power n nodes and the same subproblems are recomputed many times. fib(40) makes over 300 million calls. Memoisation stores each result after the first computation, reducing it to O(n) time. A bottom-up loop keeping only the last two values gives O(n) time and O(1) space.
02

A search box must suggest the closest dictionary words when a user makes a typo. How would you approach it?

Save to ▾
Show answer
Compute edit distance between the typed word and candidate words, suggesting those within distance 1 or 2. Running O(m times n) DP against a whole dictionary is slow, so narrow candidates first using a BK-tree indexed by edit distance, a trie with bounded edit distance search, or n-gram indexes. Then rank candidates by distance and word popularity. Keyboard-aware substitution costs can improve suggestions further.
03

Your brute-force solution for the longest substring without repeating characters is O(n cubed). How would you improve it?

Save to ▾
Show answer
I would use a variable sliding window. Keep a map from character to its last index and a left pointer. Move the right pointer through the string; when the current character was seen at an index at or after left, move left to that index plus one. Update the best length at each step. Each character is processed a constant number of times, giving O(n) time and O(alphabet size) space.
04

Merge two sorted linked lists into one sorted list.

Save to ▾
Show answer
class ListNode: def __init__(self, val=0, nxt=None): self.val = val self.next = nxt def merge(a, b): dummy = tail = ListNode() while a and b: if a.val <= b.val: tail.next, a = a, a.next else: tail.next, b = b, b.next tail = tail.next tail.next = a or b return dummy.next # O(m + n) time, O(1) extra space
05

Users enter formulas with brackets in a spreadsheet tool. How do you validate that the brackets are balanced?

Save to ▾
Show answer
Scan the formula once with a stack. Push every opening bracket; on a closing bracket, check that the stack is not empty and its top is the matching opening type, then pop. Ignore other characters. At the end the stack must be empty. This is O(n) time and handles nested mixes such as parentheses inside square brackets. To show useful errors, record the position of the first mismatch or unclosed bracket.
06

Solve two sum: return the indices of two numbers that add up to the target.

Save to ▾
Show answer
def two_sum(nums, target): seen = {} # value -> index for i, x in enumerate(nums): need = target - x if need in seen: return [seen[need], i] seen[x] = i return [] # two_sum([2, 7, 11, 15], 9) -> [0, 1] # O(n) time, O(n) space; sorting + two pointers gives O(1) space but loses indices
07

What is a stable sort and why does stability matter?

Save to ▾
Show answer
A stable sort keeps elements with equal keys in their original relative order. It matters when sorting by multiple keys in passes: sort employees by salary, then stably by department, and salaries stay ordered within each department. Merge sort, insertion sort and Timsort are stable; quicksort and heap sort usually are not. Java uses a stable sort for objects, and Python's sorted is always stable.
08

Find the minimum number of railway platforms needed given arrival and departure times.

Save to ▾
Show answer
// Java static int minPlatforms(int[] arr, int[] dep) { Arrays.sort(arr); Arrays.sort(dep); int i = 0, j = 0, cur = 0, best = 0; while (i < arr.length) { if (arr[i] <= dep[j]) { // a train arrives before the next departs cur++; i++; best = Math.max(best, cur); } else { cur--; j++; } } return best; } // O(n log n) for sorting, O(1) extra space.
09

Detect whether a linked list has a cycle and return the node where the cycle begins.

Save to ▾
Show answer
def detect_cycle(head): slow = fast = head while fast and fast.next: slow = slow.next fast = fast.next.next if slow is fast: # cycle found slow = head while slow is not fast: # move both one step slow = slow.next fast = fast.next return slow # start of the cycle return None # O(n) time, O(1) space
10

Your solution passes the sample tests but gets Time Limit Exceeded on large inputs. How do you analyse and fix it?

Save to ▾
Show answer
First I estimate the complexity of my code against the constraints and find the dominant loop. Often a nested loop or repeated search inside a loop makes it O(n squared). I then look for a better pattern such as a hash map for lookups, sorting plus two pointers, prefix sums or memoisation of repeated subproblems. I also check hidden costs like string concatenation in loops or list.pop(0) in Python.
11

How does binary search work and what does it require?

Save to ▾
Show answer
Binary search works on sorted data or any monotonic condition. Compare the middle element with the target; if equal, return it, if the target is smaller search the left half, otherwise the right half. Each step halves the search space, giving O(log n) time, so a million elements need about 20 comparisons. It requires random access, so it suits arrays but not linked lists.
12

Return an array where each element is the product of all other elements, without using division.

Save to ▾
Show answer
def product_except_self(nums): n = len(nums) out = [1] * n prefix = 1 for i in range(n): # product of everything to the left out[i] = prefix prefix *= nums[i] suffix = 1 for i in range(n - 1, -1, -1): # multiply by everything to the right out[i] *= suffix suffix *= nums[i] return out # [1,2,3,4] -> [24,12,8,6]; O(n) time, O(1) extra space besides output
13

How can two heaps maintain the running median of a stream?

Save to ▾
Show answer
Keep a max-heap for the smaller half of the numbers and a min-heap for the larger half, balanced so their sizes differ by at most one. Insert each number into the correct heap, then move the top element across if sizes become unbalanced. The median is the top of the larger heap, or the average of both tops when sizes are equal. Insertion is O(log n) and finding the median is O(1).
14

Explain basic binary tree terminology: root, leaf, height and depth.

Save to ▾
Show answer
The root is the top node with no parent. A leaf has no children. The depth of a node is the number of edges from the root to it, and the height of a node is the number of edges on the longest path down to a leaf; the tree's height is the root's height. In a binary tree each node has at most two children. A tree with n nodes has n minus 1 edges.
15

Tell me about an interview or exam you failed and what you learned.

Save to ▾
Show answer
Situation: I was rejected after a coding round because I could not solve a tree problem in time. Task: understand the gap honestly. Action: I wrote down the question, realised I memorised solutions instead of patterns, and reorganised my practice by patterns such as postorder aggregation and BFS by level, explaining each solution aloud. Result: three months later I cleared a similar round comfortably, and I now review every mistake within a day.
16

Compare singly, doubly and circular linked lists.

Save to ▾
Show answer
A singly linked list node points only to the next node, using less memory but allowing traversal in one direction. A doubly linked list node also points to the previous node, enabling backward traversal and O(1) deletion of a given node, which LRU caches need. A circular list connects the last node back to the first, useful for round-robin scheduling and buffers. Each extra pointer adds memory and update complexity.
17

What are the complexities of heap operations, and why does building a heap take O(n)?

Save to ▾
Show answer
Peek at the root is O(1). Insert adds at the end and sifts up, and extract removes the root, moves the last element to the top and sifts down, both O(log n). Building a heap from n elements by sifting down from the last internal node to the root takes O(n), not O(n log n), because most nodes are near the bottom and move only a few levels; the sum of heights is linear.
18

What is the time complexity of an outer loop from 0 to n with an inner loop where j starts at 1 and doubles until it reaches n?

Save to ▾
Show answer
The outer loop runs n times. In the inner loop j takes values 1, 2, 4, 8 and so on until it reaches n, which is about log base 2 of n iterations. Because the inner loop does not depend on the outer index, the total is n times log n, so the complexity is O(n log n). If instead the inner loop ran from 0 to i, the total would be n squared over 2, which is O(n squared).
19

What is space complexity and how is auxiliary space different?

Save to ▾
Show answer
Space complexity is the total memory an algorithm uses relative to input size, including the input itself. Auxiliary space counts only the extra memory beyond the input, such as temporary arrays, hash maps and the recursion stack. Merge sort needs O(n) auxiliary space for merging, while heap sort needs O(1). Interviewers usually mean auxiliary space when they ask you to reduce space usage.
20

Reverse a linked list in groups of k nodes.

Save to ▾
Show answer
def reverse_k_group(head, k): # check that k nodes are available node, count = head, 0 while node and count < k: node = node.next count += 1 if count < k: return head # leave the remainder as is prev, cur = None, head for _ in range(k): # reverse k nodes cur.next, prev, cur = prev, cur, cur.next head.next = reverse_k_group(cur, k) # old head is now the group tail return prev # 1-2-3-4-5, k=2 -> 2-1-4-3-5; O(n) time
21

How does cycle detection differ in directed and undirected graphs?

Save to ▾
Show answer
In an undirected graph, DFS finds a cycle when it reaches an already visited vertex that is not the parent of the current vertex; Union-Find also works by checking whether an edge joins vertices already in the same set. In a directed graph you need three states, unvisited, in the current recursion stack and finished, and a cycle exists when DFS reaches a vertex still on the stack. Kahn's algorithm also detects directed cycles.
22

In activity selection, why do we sort by end time rather than start time or duration?

Save to ▾
Show answer
Choosing the activity that finishes earliest leaves the most remaining time for others, and an exchange argument shows that any optimal schedule can swap its first activity for the earliest-finishing one without losing count. Sorting by start time fails when an early activity runs very long, and sorting by duration fails when a short activity overlaps two compatible ones. The algorithm is O(n log n) for sorting plus one pass.
23

Find the first and last position of a target in a sorted array.

Save to ▾
Show answer
from bisect import bisect_left, bisect_right def search_range(nums, target): lo = bisect_left(nums, target) # first index >= target if lo == len(nums) or nums[lo] != target: return [-1, -1] hi = bisect_right(nums, target) - 1 # last index <= target return [lo, hi] # [5,7,7,8,8,10], 8 -> [3, 4]; two binary searches: O(log n)
24

Tell me about yourself for a software engineer role.

Save to ▾
Show answer
Situation: I am a computer science graduate who enjoys problem solving. Task: become a strong software engineer. Action: I have solved over 400 data structures and algorithms problems, built a campus event app and a file search tool using tries and hashing, and completed an internship where I fixed performance issues in a backend service. Result: I can write clean, efficient code, explain trade-offs clearly, and I am eager to contribute to your engineering team.
25

A sorted array has been rotated at an unknown point. How can you still search it in O(log n)?

Save to ▾
Show answer
At every step of binary search, at least one half around mid is sorted. Compare nums[low] with nums[mid]: if the left half is sorted and the target lies within its range, search left, otherwise search right. If the right half is sorted, apply the same check on the right. This keeps O(log n). With duplicates allowed, equal values can hide which half is sorted, and the worst case becomes O(n).
26

How do DFS and BFS differ in memory use on a tree?

Save to ▾
Show answer
DFS uses a stack, either the call stack or an explicit one, holding at most the height of the tree, so O(h) memory: about log n for balanced trees but n for skewed ones. BFS uses a queue holding an entire level, up to about n over 2 nodes in the last level of a complete tree. So DFS is lighter for wide balanced trees, while BFS is natural for shortest paths and level-wise processing.
27

How do you handle disagreement with a reviewer about your solution in a code review?

Save to ▾
Show answer
Situation: a reviewer wanted me to replace my BFS solution with a more complex bidirectional search. Task: reach the best decision for the code, not win the argument. Action: I asked about their concern, which was latency on large graphs, then shared measurements showing our graphs were small and the simpler code was faster to maintain, and agreed to add a benchmark that would alert us if size grew. Result: the reviewer approved and we documented the trade-off.
28

Find the minimum number of coins needed to make an amount.

Save to ▾
Show answer
def coin_change(coins, amount): INF = amount + 1 dp = [0] + [INF] * amount # dp[x] = min coins for amount x for x in range(1, amount + 1): for c in coins: if c <= x and dp[x - c] + 1 < dp[x]: dp[x] = dp[x - c] + 1 return dp[amount] if dp[amount] != INF else -1 # coin_change([1, 3, 4], 6) -> 2 (3 + 3) # O(amount * len(coins)) time, O(amount) space
29

Find the maximum depth of a binary tree.

Save to ▾
Show answer
// Java static int maxDepth(TreeNode root) { if (root == null) return 0; return 1 + Math.max(maxDepth(root.left), maxDepth(root.right)); } // Each node visited once: O(n) time, O(h) stack space. // BFS alternative: count levels while processing the queue level by level.
30

You must merge two sorted arrays where the first array has enough empty space at the end for the second. How would you do it in place?

Save to ▾
Show answer
Merging from the front would overwrite unread elements, so merge from the back. Use three pointers: the last real element of the first array, the last element of the second, and the last slot of the first array. Repeatedly place the larger of the two candidates at the write position and move pointers left. When the second array is exhausted, the rest is already in place. This takes O(m plus n) time and O(1) space.
31

How does merge sort work and what are its properties?

Save to ▾
Show answer
Merge sort splits the array into halves, recursively sorts each half and merges the two sorted halves in linear time. The recurrence T(n) = 2T(n/2) + n gives O(n log n) in every case. It is stable and works well for linked lists and external sorting of large files, but needs O(n) extra space for arrays. It also adapts to counting inversions during the merge step.
32

How do you prioritise when several tasks have deadlines at the same time?

Save to ▾
Show answer
Situation: in one sprint I had a bug fix, a feature and interview preparation for a new hire panel all due together. Task: deliver without dropping quality. Action: I listed the tasks with impact and deadline, discussed the order with my lead, finished the customer-facing bug first, split the feature into smaller deliverables and blocked calendar time for each. Result: everything was delivered within the week and nothing urgent slipped.
33

What is the Union-Find data structure and what optimisations make it fast?

Save to ▾
Show answer
Union-Find, or disjoint set union, tracks which elements belong to the same group with find, returning a representative, and union, merging two groups. Path compression makes every node on a find path point directly to the root, and union by rank or size attaches the smaller tree under the larger. Together they give nearly constant amortised time, the inverse Ackermann function. It is used in Kruskal and dynamic connectivity.
34

How would you implement browser back and forward navigation?

Save to ▾
Show answer
Use two stacks plus the current page. Visiting a new page pushes the current page onto the back stack, sets the new page as current and clears the forward stack. Back pushes current onto the forward stack and pops the back stack into current. Forward does the reverse. Each operation is O(1). A doubly linked list with a cursor is an alternative that makes it easy to show the full history.
35

How does Dijkstra's algorithm work and why does it fail with negative edge weights?

Save to ▾
Show answer
Dijkstra keeps a min-heap of tentative distances. It repeatedly pops the closest unvisited vertex, marks its distance final and relaxes its outgoing edges, giving O((V plus E) log V). It relies on the fact that once a vertex is popped, no shorter path can appear later. A negative edge breaks that assumption because a longer path could later become cheaper. For negative weights use Bellman-Ford.
36

What is a bipartite graph and how do you check for one?

Save to ▾
Show answer
A graph is bipartite if its vertices can be split into two groups so every edge connects vertices from different groups, which is equivalent to having no odd-length cycle. To check, colour vertices with BFS or DFS: give the start vertex colour 0, its neighbours colour 1 and so on; if any edge connects two vertices of the same colour, it is not bipartite. Run it on each component, O(V plus E).

Companies with offices in Noida (3)

Frequently asked questions

Which companies hire Data Structures and Algorithms professionals in Noida?

Companies with large offices in Noida include Microsoft, Adobe, Oracle. Use their company pages below to practise employer-specific sets.

Are Data Structures and Algorithms interviews in Noida different from other cities?

The questions depend more on the company than the city. Noida's mix of employers decides the style: Freshers often find their first role here, and many teams run hybrid work

How do I find Data Structures and Algorithms jobs in Noida?

Shortlist companies with Noida offices, keep your CV focused on Data Structures and Algorithms projects, apply on company career pages and job portals with the Noida filter, and practise the questions on this page before each interview.