Question

Download Solution PDF

Total number of nodes at the nth level of a full binary tree can be given as __________.

This question was previously asked in
NIELIT Scientific Assistant CS 5 Dec 2021 Official Paper
Download PDF Attempt in App
View all NIELIT Scientific Assistant Papers >
  1. 2n + 1
  2. 2n2 
  3. 2n
  4. 2n−1

Answer (Detailed Solution Below)

Option 3 : 2n
Free Tests
View all Free tests >
Free
NIELIT Scientific Assistant Quantitative Aptitude Mock Test
20 Qs. 20 Marks 30 Mins
Start Now

Detailed Solution

Download Solution PDF

Explanation:
In a full binary tree, each level contains nodes that follow the pattern:

Level 0: 20 = 1 node

Level 1: 21 = 2 nodes

Level 2: 22 = 4 nodes

...

Level n: 2n nodes

So, the number of nodes at the nth level is given by 2n

Final Answer: Option 3) 2n ✅

Download Solution PDF
Latest NIELIT Scientific Assistant Updates

Last updated on Jul 3, 2025

-> NIELIT Scientific Assistant answer key 2025 has been released at the official website. 

-> NIELIT Scientific Assistant admit card 2025 has been released. 

-> NIELIT Scientific Assistant city intimation slip 2025 has been released at the official website.

-> NIELIT Scientific Assistant exam 2025 is scheduled to be conducted on June 28. 

-> A total number of 113 revised vacancies have been announced for the post of Scientific Assistant in Computer Science (CS), Information Technology (IT), and Electronics & Communication (EC) streams.

-> Online application form, last date has been extended up to from 17th April 2025.

->The NIELT has revised the Essential Qualifications for the post of Scientific Assistant. Candidates must possess (M.Sc.)/ (MS)/ (MCA) / (B.E.)/ (B.Tech) in relevant disciplines.

 

-> The NIELIT Scientific Assistant 2025 Notification has been released by the National Institute of Electronics and Information Technology (NIELIT).

‹‹ Previous Ques
Next Ques ››
Exams Tests Super Practice

More Complete Binary Tree Questions

Q1.Total number of nodes at the nth level of a full binary tree can be given as __________.
Q2.Consider the height of a tree as the number of edges in the longest path between the root node and leaf nodes. If T is a binary tree of height 3, then what is the smallest and largest number of nodes that T can have?
Q3.In a binary tree with n nodes, every node has an odd number of descendants. Every node is considered to be its own descendant. What is the number of nodes in the tree that have exactly one child?
Q4.A complete n-ary tree is a tree in which each node has n children or no children. Let I be the number of internal nodes and L be the number of leaves in a complete n-ary tree. If L = 41, and I = 10, What is the value of n ?
Q5.Consider a full binary tree with n internal nodes, internal path length i, and external path length e. The internal path length of a full binary tree is the sum, taken over all nodes of the tree, of the depth of each node. Similarly, the external path length is the sum, taken over all leaves of the tree, of the depth of each leaf. Which of the following is correct for the full binary tree?
Q6.Consider the following three binary trees, each with 7 nodes Then A is ____binary tree, B is ___binary tree and C is_______ binary tree.
Q7.Let T be a full binary tree with 8 leaves. (A full binary tree has every level full.) Suppose two leaves a and b of T are chosen uniformly and independently at random. The expected value of the distance between a and b in T (i.e., the number of edges in the unique path between a and b) is (rounded off to 2 decimal places).
Q8.A complete binary tree with n non-leaf nodes contains:

More Tree Questions

Q1.Non leaf nodes of B+ tree structure form a : 
Q2.Total number of nodes at the nth level of a full binary tree can be given as __________.
Q3.Arrange the following steps of the Inorder Traversal of Binary Tree in the correct order. A. Visit the Left subtree B. Visit the Root node C. Visit the Right subtree D. Start traversing by visiting the nodes in rooted tree E. Repeat the above three steps. Choose the correct answer from the options given below:
Q4.Which of the following algorithms are based on the Breadth First Search (BFS)? A. Prim's algorithms B. Kruskal algorithms C. Dijkstra algorithms D. Greedy algorithms E. Dynamic Programming Choose the correct answer from the options given below:
Q5. Considering above binary tree, what will be the inorder traversal
Q6.Which of the following description(s) is/are true: A. Red Black Tree - Guarantees worst case of O(log n) time for search, insert & delete. B. Trie - Used for efficient prefix - based searches. C. AVL Tree - self balancing binary search tree with stricker balance criteria. D. B - Tree - Allows efficient search, inert, delete operations in disk based system. Choose the correct answer from the options given below:
Q7.Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The AVL trees are more balanced as compared to Red Black trees, but they may cause more rotations during insertion and deletion Reason R: A Red Black tree with n nodes has height that is greater than 2 log2 (n + 1) and the AVL tree with n nodes has height less than logΦ (√5 (n+2)) -2 (where Φ is golden ratio) In the light of the above statements, choose the correct answer from the options given below. 
Q8.How many different binary trees are possible with 'n' nodes?
Q9.Consider the traversal of a tree Preorder → ABCEIFJDGHKL Inorder → EICFJBGDKHLA Which of the following is correct post order traversal?
Q10.Which of the following is/are correct about a strictly binary tree? A. A binary tree is called strictly binary tree if every non-­leaf node of it has non empty left and right sub tree B. In strictly binary tree can have two children or no child C. A strictly binary tree with n leaves always contains 2n­-1 nodes
Suggested Test Series
View All >
NIELIT Scientific Assistant Mock Test 2025
83 Total Tests with 3 Free Tests
Start Free Test

More Programming and Data Structure Questions

Q1.What is the output of the following code? int i = 1 ; while ( i <= 10 ) printf ( "%d\n", i );
Q2.Which of the following is the syntax of the conditional operator in C?
Q3.Which of the following is a unary operator in C?
Q4.If a C program contains only one function, it must be __________.
Q5.Which operator is used for bitwise OR in C?
Q6.What is the purpose of the sizeof operator in C?
Q7.Which of the following functions is used to find the length of a string in C?
Q8.The ternary operator can be used as a replacement for which loop/statement?
Q9.What is the limitation of the conditional operator (? :) in C?
Q10.What is a recursive function?
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti stars teen patti gold apk download teen patti master golden india teen patti joy 51 bonus