Name of the Organization : National Institute of Science Education and Research
Type of the Exam : NEST National Entrance Screening Test
Document Type : Model Question Paper
Website : nestexam.in
Download Model/Sample Question Paper :
Set A : https://www.pdfquestion.in/uploads/5478-NEST-12-A.pdf
Set B : https://www.pdfquestion.in/uploads/5478-NEST-12-B.pdf
NEST National Entrance Screening Test Question Paper
Total Marks : 200
Time: 3 hours
General instructions
1. This question booklet contains five sections. Each section carries 50 marks.
2. First section is a general section and it is compulsory.
Related : National Institute of Science Education & Research NEST Previous Question Paper : www.pdfquestion.in/124.html
3. Section 2 to 5 are subject sections (biology, chemistry, maths and physics). Choose any three, that is, omit any one of the four subject sections.
4. Pocket calculators, cell phones, log tables etc. are NOT permitted in the examination hall.
5. Answers to the questions are to be marked in the supplied OMR sheet.
6. Please make sure that question booklet code (A or B) matches with OMR sheet code (A or B) respectively. In case of discrepancy please inform the invigilator immediately.
7. Rough work may be done on separate blank sheets provided.
8. Return the OMR sheet to the invigilator at the end of examination.
9. Read the instructions given at the beginning of each section carefully.
Instruction for writing With OMR Sheet
1. Read and follow the instructions given on OMR sheet.
2. Write your name, roll number and other required information with ball point pen in appropriate boxes provided. Sign your name with ball point pen in the box provided.
3. In the remaining part of OMR sheet, use HB pencil only (as instructed). Make sure the bubbles are filled properly (as indicated in OMR sheet).
4. As far as possible, fill in the answers only after you are sure that you do not need to change them. In case you have to change the answer after filling, erase the mark properly so that no black spot is left inside the bubble.
Section 1 : GENERAL
Marks for Section 1 : 50
This section contains 19 questions.
For each question, only one of the four options is a correct answer. For questions, 1.1 to 1.12, a
correct answer will earn 3 marks. For questions, 1.13 to 1.19, a correct answer will earn 2 marks.
For this GENERAL section, a wrong answer or an unattempted question will earn 0 marks.
In mathematics and computer science, graph theory is the study of graphs, mathematical structures used to model pairwise relations between objects from a certain collection. A graph in this context is a collection of vertices or nodes and a collection of edges that connect pairs of vertices. An edge may be undirected, meaning that there is no distinction between the two vertices associated with it, or directed, in which it is directed from one vertex to another. The graph, in addition to vertices, may contain only undirected edges or only directed edges or a combination of both. The graphs studied in graph theory should not be confused with the graphs of functions or other kinds of graphs.
Model Questions
1.1 Some situations from daily life are described below. Which one of them cannot be represented as a problem in graph theory?
(A) A salesman wants to represent annual sale of computers over last 10 years.
(B) An electrician wants to connect 10 computers in the school to the Internet.
(C) A Web-master wants to design a website with 10 web-pages linked to each other.
(D) A postman has to deliver letters to 10 households taking the shortest path.
1.2 Three points P, Q and R lie in the plane. Which of these is not a “graph”-
(A) The triangle formed by P, Q and R.
(B) A line segment between Q and R.
(C) A vector from P to Q.
(D) A circle centred at P.
1.3 Among the following statements, the false statement is
(A) In a study of interacting particles, mutual forces can be taken as edges.
(B) In a study of a bus network, zonal boundaries can be taken as edges.
(C) In the nervous system, sensory receptors can be taken as vertices.
(D) In a study of government aid programme, aid recipients can be taken as ver-
1.5 The most likely geometry for a silicate unit is
(A) square planar.
(B) square pyramidal.
(C) tetrahedral.
(D) octahedral.
1.6 In step 2 (Equation 2), silicon is converted to trichlorosilane as the trichlorosilane
(A) can be oxidised easily.
(B) is further reduced by the hydrogen formed in the process.
(C) can be separated by dissolving in water.
(D) has a lower boiling point than
1.8 Consider the polynomial, (x-a)m2+(a+x)m-2x. One of the factors of this polynomial
View Comments (1)
Can you please give the complete solution of question 1.8