Galgotias Engineering Entrance Examination GEEE Mathematics Question Paper 2018

Organization : Galgotias University
Exam : Galgotias Engineering Entrance Examination 2018
Document Type : Sample Question Paper
Subject : Mathematics
Website : http://geee.in/model-paper.asp
Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/25409-GEEEmathematics.pdf

GEEE Mathematics Question Paper

The University, which is based in Greater Noida, has a ‘students-first’ philosophy. It’s one of the reasons why Galgotias University is consistently ranked among India’s top universities.

Related : Galgotias University GEEE Engineering Entrance Exam Chemistry Question Paper 2018 : www.pdfquestion.in/25403.html

Sample Questions

1. Find the number of solutions of the equation: cos2? + 2cos? – 8 = 0
A) Exactly two solutions
B) Exactly four solutions
C) Infinitely many solutions
D) No solution

2. What is the locus of the point z satisfying the condition 1arg 1 3 z z ?
A) A parabola
B) A circle
C) Pair of straight line
D) An ellipse

3. If z is a complex number, then ?3z – 1? = 3?z – 2? represents:
A) Y-axis
B) A circle
C) X-axis
D) A line parallel to y-axis

4. If A = {x : x = n2, n = 1, 2, 3}, then the number of subsets of A is:
A) 16
B) 15
C) 4
D) 8

5. Find the domain of f (x) ? 2 ? 2x ? x2 .
A) [-?3, ?3]
B) [-1-?3, -1+?3]
C) [-3, 3]
D) [-?3 ? 2, ?3 + 2]

6. Find the period of the function ( ) 3sin 4cos 3 4 x x f x ? .
A) 6
B) 24
C) 8
D) 2

7. If the sum of 40 arithmetic mean between two numbers is 120, then the sum of 50 arithmetic mean between them is equal to:
A) 130
B) 160
C) 140
D) 150

8. What is the next term in the following sequence?
1, 2, 4, 7, 11,?..
A) 17
B) 16
C) 15
D) 14

9. Number of diagonals of a convex hexagon is:
A) 3
B) 6
C) 9
D) 12

10. Find the value of 3 tan tan 8 8 ?
A) 0
B) 1
C) 1/2
D) 3

11. What is the minimum value of 3cos x + 4sin x + 8?
A) 5
B) 9
C) 7
D) 3

16. Three digit numbers are formed using the digits 0, 2, 4, 6, 8. Out of these numbers, a number is chosen at random. Find the probability that this number has the same digits.
A) 1/25
B) 1/16
C) 16/25
D) 1/645

17. There are two bookcases A and B. A contains 2 Hindi and 3 Kannada books and B contains 4 Hindi and 5 Kannada books. One book is taken random from one of the bookcases and is found to be Kannada. Find the probability that it was from bookcase B.
A) 25/52
B) 52/25
C) 1/52
D) 1

18. The points (4, 7, 8), (2, 3, 4) & (-1, 2, 1) are the three vertices of a parallelogram. Find the fourth vertex of the parallelogram.
A) (1, 2,-5)
B) (1, 6, 5)
C) (1,-2, 5)
D) (-1, 2, 5)

19. If a 2i j k &? ?is the angle between the vectors a & z-axis, then find the value of cos?.
A) 1/6
B) 5/12
C) 5/6
D) 1/3

20. The equation mx ? y ? 2 ? 3m ? 0,m? R represents which of the following family?
A) Lines through (2, 3)
B) Lines through (3, 2)
C) Lines through (-2, 3)
D) Lines with intercepts (1, 1) on two axes

Mathematics Exam Syllabus

Schedule of GEEE-2018

** The duration of the entrance examination will be 90 minutes.
** Please refer for further details in galgotiasuniversity.edu.in

** Pattern of the Entrance Examination Question Paper: Questions will be of OBJECTIVE TYPE with Multiple Choice
** Three parts – Physics, Chemistry, Mathematics
** All the questions will be mostly from the State Board of Higher Secondary Education and the CBSE syllabus only.

** Each part has 30 questions and each question carries one mark.
** No negative marks for wrong answers.
** The Question paper will be only in English.