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Question Paper
Quantitative Methods (CFA530): October 2008
Answer all 77 questions.
Marks are indicated against each question.
Total Marks : 100
1.
Which of the following gives the maximum number of combination of samples that can be drawn
from a population of size x and sample size y (‘!’ is factorial sign)?
(a)
x!
x
y !y!
(b)
x!
x
y !y!
(c)
x!
x y !y!
(d)
y!
x y !y!
(e)
y!
.
x
y !y!
(1mark)
<Answer
>
2.
The value of polynomial
4
3
2
x
7x
3x
8x
5 at
x is equal to
(a)
4
3
2
x
7x
3x
8x 5
(b)
4
3
2
x
7x
3x
8x 5
(c)
4
3
2
x
7x
3x
8x 5
(d)
4
3
2
x
7x
3x
8x 5
(e)
4
3
2
x
7x
3x
8x 5.
(1mark)
<Answer
>
3.
Which of the following is
not
an unbounded interval?
(a)
The set of all real numbers greater than a specified real number
(b)
The set of all real numbers less than a specified real number
(c)
The set of all real numbers greater than or equal to a specified real number
(d)
The set of all real numbers less than or equal to a specified real number
(e)
The set of real numbers greater than one real number and less than another real number.
(1mark)
<Answer
>
4.
What is the second derivative of
5
4
2
x
3x
2x
x
16?
(a)
3
2
20x
36x
4
(b)
3
2
20x
36x
4
(c)
3
2
40x
46x
4
(d)
3
2
20x
36x
4
(e)
3
2
30x
36x
3.
(1mark)
<Answer
>
5.
What is the value of
log 8
log 27?
2
3
(a)
2
(b)
4
(c)
6
(d)
8
(e)
9.
(1mark)
<Answer
>
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6.
In a function
2
y
x
1
, what will be the value of
y, if x approaches 1?
(a)
1
(b)
(c)
0
(d)
2
(e)
3.
(1mark)
<Answer
>
7.
The slope of the function,
2
y
x
4x
10 at x
5 is
(a)
2
(b)
4
(c)
6
(d)
8
(e)
9.
(2
marks
)
<Answer
>
8.
The sum of the following
geometric series
3
5
7
1
1
1
1
............
4
4
4
4
∞ is
(a)
1
16
(b)
2
15
(c)
4
16
(d)
1
64
(e)
4
15
.
(1mark)
<Answer
>
9.
The sum of the third and seventh term of an A.P is 8. The sum of the first 9 terms of the
progression is
(a)
36
(b)
22
(c)
19
(d)
33
(e)
99.
(1mark)
<Answer
>
10
.
If A, G and H are the arithmetic mean, geometric mean and harmonic mean respectively, between
two given quantities a and b, then
(a)
G
2
= A
H
(b)
G
2
= H
A
(c)
G
2
=
A
H
(d)
G
2
=
H
A
(e)
G
2
= A
H.
(1mark)
<Answer
>
11
.
A certain Government bond pays three different interest rates over its sixyear term. The interest
rates are eight percent per annum for the first two years, ten percent per annum for the third and
fourth years and twelve percent per annum for the last two years. The average growth factor for
this bond would be (select the nearest value):
(a)
1.2000%
(b)
1.7704%
(c)
3.7903%
(d)
1.0999%
(e)
1.5672%.
(1mark)
<Answer
>
3
12
.
Which of the following statements regarding interpolation is
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This note was uploaded on 07/20/2010 for the course ICFAI CFA taught by Professor Cfa during the Fall '09 term at Indian School of Business.
 Fall '09
 CFA

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