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# Ramakrishna Mission Vidyamandira Economics Admission Test Question Paper

Name of the Organisation : Ramakrishna Mission Vidyamandira
Subject: Economics
Document Type : Sample Question Paper

## Vidyamandira Economics Admission Test Question Paper

Economics (Honours) :
Date : 14-06-2016
Full Marks : 50
Time: 02·30 p.m – 04·00 p.m

Related / Similar Question Paper :
Vidyamandira English Admission Test Question Paper

## Instructions For The Candidate

** Use a separate Answer book for each group.

## Economics Sample Question

### Group – A

Mark : [6×5]
1. If a0 = 1, a1 = 1 and n n 1 n 2 a a a 1 ? ? ? ? for n > 1, then
a) a465 is odd and a466 is even
b) a465 is odd and a466 is odd
c) a465 is even and a466 is even
d) a465 is even and a466 is odd

2. Find the domain of definition of the real valued function f (X) ? loge[x] , where [x] denotes the greatest integer value function.
a) Set of all real numbers
b) [1,a)
c) Set of reals except (–1, 1)
d) none of these

4. Suppose that the function g given by 2 g(x) ? ax ?4 x ?1, if 0 ? x ?1and g(x) ? bx ?5 , if x ?1, is
differentiable for all x > 0. Then
a) a = 0 and b = –2 b) a = 6 and b = 10
c) a = –6 and b = –14 d) a is any real number and b = 2a – 2

5. Let a, b, c be distinct real numbers. Then the number of real solution of 3 3 3 (x ?a) ?(x ?b) ?(x ?c) ? 0 is
a) 1
b) 2
c) 3
d) depends on a, b, c

6. A straight line segment AB of length a moves with its ends on the axes. Then the locus of the point P such that AP:BP ? 2:1is
a) 2 2 2 9(x ? y ) = 4a
b) 2 2 2 9(x ? 4y )= 4a
c) 2 2 2 9(4x ? y ) = 4a
d) 2 2 2 9x ? 4y = 4a

### Group – B

Marks : [1×20]
7. Suppose the new government in West Bengal chooses you as the Finance Minister. What type of policies are you going to take? describe your policy priorities within 250 words.

ECONOMICS (Honours) :
Full Marks : 50
Time : 01·30 p.m – 03·30 p.m
1. Write an essay on : ‘Your impression about the recent general election in India.’ [20]
2. Answer the following questions :
a) Show that the equation Z1 Z1 , (where Z is a complex number) represents an equation of a line in the complex plane.
f) Consider the function f :[1,1]? defined by, f(x) = x2. Find the points at which the function attains its maximum and minimum.

1. Write in brief (around 300 words) what steps would you take for the economic development of the country if you are selected as the Prime Minister of the country.
3. Let f (x) ? x2ex .
a) Find the regions where f is increasing and where f is decreasing. [3]
b) Find the local maxima and minima of f.

6. The Harmonic mean of two numbers is 4. Their arithmetic mean is A and geometric mean is G. It has also been found that 2 2A ?G ? 27 . Find the two numbers. [5]
7. How many 6-letter words can be formed with A, B and C so that each letter appears at least once in each word?

1. How many words can be formed by taking 3 letters from ‘FORECAST’ and 2 letters from ‘MILKY’. (5)
2. Show that f(x) = 2×2 + 4x + 6 in the interval 0 ? x ?1 has the lower bound 6 and the upper bound 12. (5)
3. Arrange in ascending order (with reasons) : P(A), P(A?B), P(A?B), P(A)?P(B)
4. Write an essay on the following topic :
Recent problems relating to chit-fund in West Bengal.