GOVERNMENT COLLEGE UNIVERSITY, FAISALABAD
MODEL PAPER
M. Com. Part I
Course Code: MC-502
Objective Part
Course Title: Quantitative Techniques in Business
Time Allowed: 30 Minutes
Marks:20
Note: Question No. 1 is compulsory and it’s all parts carry equal marks. Please attempt the answers
on the same paper and return it to the center superintendent within the time allowed.
Q. No. 1 Tick the correct choice
(20X1)
1. Solution of linear equation; 0x+8 = 5
a.
Can never be determined
b.
-3
c.
0
d.
-13
2. Dividends, payments on the installments purchases, payments on the rent, interest payments
on the bonds, mortgage payments and premium on insurances are all the examples of
a. Simple interest
b. Compound interest
c. Gratuities
d. Annuity
3. The algebraic expression: x2+xy-6y2 is an example of
a. Trinomial
b. Binomial
c. Both trinomial and Polynomial
d. Both Binomial and Polynomial
4. The formula FV (ordinary Annuity) = C * [(1 + i)n – 1/i] is used to find the value of
a. Future value of the annuity
b. Accumulation factor
c. Amount of annuity
d. None of above
5. For a product, if its list price is Rs.500 at the discount rate of 25% then its net cost price is
a. Rs.375
b. Rs.125
c. Rs.625
d. Rs.525
6. The rate at which the calculations are made is called
a. Discount factor
b. Discount Rate
c. Discount Value
d. None
7. What is true about median?
a. It does not get affected by the extreme values
b. It is equal to the second quartile
8.
9.
10.
11.
12.
13.
14.
15.
16.
c. Both (a) and (b) above
d. Neither (a) nor (b) above
Which of the following is relative measure of dispersion?
a. Variance
b. Standard Deviation
c. Coefficient of Variation
d. None of the above
Probability can be considered as:
a. The quantification of uncertainty
b. The qualification of uncertainty
c. Both of the above
d. None of the above
Where the probability of an event is based on past data and the circumstances are repeatable
by test, the probability is known as
a. Relative Probability
b. Absolute Probability
c. Subjective probability.
d. Objective Probability
Mutually exclusive events are the events which:
a. Can happen at the same time
b. Cannot happen at the same time
c. Do happen at the same time
d. Are necessarily independent to each other
A histogram is a set of vertical bars or columns:
a. Whose areas are not proportional to the frequencies represented.
b. Whose areas are proportional to the frequencies represented.
c. Whose heights (not areas) are proportional to the frequencies represented.
d. Whose areas are independent to the frequencies represented
In a symmetrical distribution:
a. The mean, median and harmonic mean have the same value.
b. The mean, median and Standard Deviation have the same value.
c. The mean, median and Mode have the same value.
d. The mean, Variance and Standard Deviation have the same value.
How many roots of a quadratic equation are there?
a. Four
b. Three
c. Up to two
d. None of the above
Which is the proportion of total variation explained by the regression line?
a. Simple coefficient of determination
b. Slope of the regression line
c. Mean square error
d. Standard error of the regression coefficient
In a positively skewed distribution
a. The mean, median, and mode are all equal.
b. The mean is larger than the median
17.
18.
19.
20.
c. The median is larger than the mean.
d. The standard deviation must be larger than the mean or the median.
Men tend to marry women who are slightly younger than themselves. Suppose that every man
married a woman who was exactly .5 of a year younger than themselves. Which of the
following is CORRECT?
a. The correlation is −.5.
b. The correlation is .5.
c. The correlation is 1.
d. The correlation is −1.
e. The correlation is 0
If Sx = 2.56, Sy = 15.91, Sxy = 29.59, then correlation Coefficient is
a. 0.726
b. 0.821
c. 0.623
d. 0.80
In annuity interest is charged by the:
a. Simple interest method
b. Compound interest method
c. Both simple and compound interest method
d. Accumulated method
The point where a straight line cuts the X-axis is called
a. Slope
b. starting point
c. y-intercept
d. x-intercept
GOVERNMENT COLLEGE UNIVERSITY, FAISALABAD
MODEL PAPER
M. Com. Part I
Course Code: MC-502
Subjective Part
Course Title: Quantitative Techniques in Business
Time Allowed: 02:30 Hours
Marks:80
Q.No 2
a) What amount must be deposited today at 9% per year compounded semi-annually if the goal 8 year
from today is to have a compound amount of Rs. 100,000. How much interest will be earned during
this period?
b) A fixed cost of Rs. 250,000 is associated with the production of a college mathematics book. The
contribution to profit and fixed cost from sale of books is Rs.6.25
Determine break-even quantity.
What is expected profit if 50,000 books are sold?
Q.No 3
a) Solve by quadratic formula.
4y2 + 18y − 10 = 0
b) Solve the inequality.
10 + x ≤ 2x − 5 ≤ 25
c) Solve the equation.
|5 − 3𝑥| = |−2𝑥 + 7|
Q.No 4
a) A company manufactures two products A and B. There is a capacity of 150 hours per day and products
A requires 3 hours per units whereas product B requires 5 hours.
i.
If A’s units are x and B’s units are y, determine the linear equation that requires use of 150
hours daily.
ii.
How many units of A can be made each week if 12 units of B are made daily (assume a 5
days week).
b) Given the equation 8𝑥 − 2𝑦 = −48
i.
Determine x and y intercepts.
Find the line which is parallel to the equation given above and pass through (3,-7)
Q. 5 the mid value of a frequency distribution is given below
Mid Value 115
Frequency 6
125
25
Calculate i) A.M
135
48
145
72
155
116
ii) Median III Mode
165
60
175
38
185
22
195
2
Iv) variance
Q.6 a) the number of unit produce by a process (x)the cost of producing unit (y) were made as:
n=4, ∑x=20, ∑x2 =110, ∑y=25, ∑y2=162, ∑xy= 132.
Find i)the coefficient of correlation
ii) the regression equation y on x
Q.7 Construct the index number of prices with the help of following data by
a) Laspeyer’s
Commodity
A
B
C
D
b) Paasche’s
Base Year
P
6
10
16
20
c) Fisher’s
Q
140
160
80
100
d) Marshall’s Formulas
Current Year
P
Q
8
150
12
180
20
110
24
120