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# vidyamandira.ac.in Ramakrishna Mission Mathematics Admission Test Question Paper

** Name of the Organisation **: Ramakrishna Mission Vidyamandira

**: Admission Test**

__Exam__**: Mathematics**

__Subject__**: Sample Question Paper**

__Document Type__**: http://vidyamandira.ac.in/links/index.html?AdmissionList?1**

__Website__**:**

__Download Sample /Model Question Paper__**: https://www.pdfquestion.in/uploads/24367-MAT17.pdf**

__Mathematics 2017__**: https://www.pdfquestion.in/uploads/24367-math2017.pdf**

__Mathematics 2016__**: https://www.pdfquestion.in/uploads/24367-math2015.pdf**

__Mathematics 2015__**: https://www.pdfquestion.in/uploads/24367-math2014.pdf**

__Mathematics 2014__**: https://www.pdfquestion.in/uploads/24367-math2013.pdf**

__Mathematics 2013__## Vidyamandira Mathematics Admission Test Question Paper

**Mathematics (Honours)**

** Date** : 15-06-2016

** Full Marks : **50

**Time:** 11·00 a.m – 12·30 p.m

Related / Similar Question Paper :

Vidyamandira Microbiology Admission Test Question Paper

## Instructions For The Candidate

** Each question carries 2 marks for correct answer and (–1) marks for wrong answer.

Tick the correct option.

** The tick must be very clear — if it is smudgy or not clear, no marks will be awarded. Calculator not allowed.

** 2 marks will be awarded to correct answer and –1 for a wrong answer Candidates have to select the correct choice by black/ blue pen only in the Optical Mark Recognition (OMR) to be provided during the written test. Marking should be dark and should completely fill one blank box against the corresponding question number.

** Incomplete filling or multiple filling of boxes will reject the answer to that question. Once an answer ismarked in OMR, there is no scope to alter the choice. Doing rough work or using erasers, blades, whiteners etc.

** on the Optical Mark Recognition (OMR) is strictly prohibited. Calculator should not be used

## Sample Questions

1. A set A has 10 elements and let ?{X ? A:|X|? 4, |X?A|? 4}where |X|,|X?A| respectively denote the number of elements in X and the number of elements in X – A. Then the number of elements in is a) 648

b) 672

c) 692

d) 712

2. A set A contains 3 elements. The number of maps from A to A which are not surjective is

a) 15

b) 18

c) 21

d) 24

3. Let f : ? be defined by 3 f (x) ? x ,x? ; where is the set of all real numbers. Then

a) f is injective but not surjective

b) f is surjective but not injective

c) f is neither injective nor surjective

d) f is bijective

4. Suppose X is a finite set and ? be the set of all binary relations on X. Suppose ? contains n relations. Then the possible value of n is

a) 112

b) 210

c) 386

d) 512

5. Suppose X ?{1,2}. The number of transitive relations on X is

a) 7

b) 10

c) 13

d) 15

6. Two tangents, perpendicular to each other, to the parabola y2 = 4ax intersect on the line

a) x = a

b) x + a = 0

c) x + 2a = 0

d) x – 2a = 0

7. The foci of the ellipse 2 2 25(x ?1) ?9(y ? 2) ? 225 are

a) (?1,2), (6,1)

b) (?1,?2), (1,6)

c) (1,?2), (1,?6)

d) (?1,2), (?1,?6)

8. The equation of the director circle of the hyperbola 2 2 9x ?16y ?144 is

a) 2 2 x ? y ? 7

b) 2 2 x ? y ? 9

c) 2 2 x ? y ?16

d) 2 2 x ? y ? 25

9. The circles 2 2 x ? y ? 4x ?10y ? 20 ? 0 and 2 2 x ? y ?8x ?6y ?24 ? 0

a) touch each other internally

b) touch each other externally

c) cut each other

d) cut each other orthogonally

10. Ignoring the order of drawing, two cards are drawn from a full pack of 52 cards. The probability of one is a heart and the other is a diamond is

a) 25/102

b) 13/102

c) 26/102

d) 52/102

11. A box contains twenty tickets of identical appearance, the tickets being numbered 1, 2, 3, …, 20. If 3 tickets are chosen at random, the probability that the numbers on the drawn tickets are in arithmetic progression is

a) 3/38

b) 20/38

c) 3/20

d) 9/20

12. A random variable has the following probability distribution

x : 4 5 6 8

probability : 0·1 0·3 0·4 0·2

The standard deviation (S.D) of the random variable is

a) 1·22

b) 2·22

c) 3·23

d) 4·24

13. The general solution of the differential equation dy Py Q dx ? ? , can be written in the form

a) y > u ? v ? k

b) y ? k(u ? v) ? v

c) y ? k(u ? v) ? v

d) y ? k(u ? v) ? u