Monday, April 13, 2009

Math & Stat (MTH 302) Solution

1 A
2 C
3 B
4 B
5 A
6 B
7 B
8 D
9 C
10 B
11 D
12 C
13 A
14 D

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Question # 1 Marks 2

What will be the product of a matrix and its inverse?

a) Identity matrix
b) A rectangular matrix e
c) Inverse matrix
d) None of these

Question # 2 Marks 2

If the original price of a necklace is Rs. 4200 and it is marked off 25%. Then the selling price?


a) 3050
b) 3250
c) 3150
d) 1960


Question # 3 Marks 2

A businessman pays an amount of Rs. 3000 to purchase for certain item and sells it at Rs. 3750. Then Mark up rate of the businessman is?


a) 32%
b) 31%
c) 30%
d) 25%

Question # 4 Marks 2

If A, B and C are matrices with orders 3×3, 2×3 and 4×2 respectively, then which of the following set of operations are possible?


a) 4B, A + B, B+C, AB, CB, CBA
b) 4B, CB, CBA
c) A + B, B+C, CB, CBA
d) 4B, CB, CBA
e) 4B, CB



Question # 5 Marks 2

Statisticians under the assigned project try to estimate the income of different age people like 10-14 years, 16-19 years, 20-24 years, 25-29 years in a city of Pakistan allocated by Pakistani government. The city is divided into four regions like R1, R2, R3 and R4. Here we assume the average income. In region R1 the children greater than 12 years and less than 14 years earn Rs.7000 monthly, from 16 and 18.5 years earn Rs.10000, between 20-24 years earn Rs.15000 and 28-29 years earn Rs.22000.In R2 the income is double of the R1,in R3 double of the R2 and in R4 the income is half of R1 income. Which of the following matrix describes best the scenario?
a)
b)
c)
d) None of these


Question # 6 Marks 2

If is invertible under matrix multiplication, then its inverse is

a)
b)
c)
d)


Question # 7 Marks 2
In a 500 bed hospital there are 200 nurses and 150 other staff. If the hospital extends by a new wing for 100 beds, then what additional staff is needed?

a) 20 Nurses, 30 other staff
b) 40 Nurses, 30 other staff
c) 30 Nurses, 40 other staff
d) 40 Nurses, 20 other staff

Question # 8 Marks 2

A Fruit Punch recipe requires mango juice, apple juice and orange juice in the ratio of
3:2:1. to make 2 liters of punch, quantity of ingredients is?

a) Mango juice =1.5 liter, Apple juice = 0.66 liter, Orange juice = 0.39 liter
b) Mango juice =2.0 liter, Apple juice = 0.77 liter, Orange juice = 0.37 liter
c) Mango juice =2.5 liter, Apple juice = 0.56 liter, Orange juice = 0.31 liter
d) Mango juice =1.0 liter, Apple juice = 0.67 liter, Orange juice = 0.33 liter




Question # 9 Marks 2

Returns the interest payment for an investment for a given period?

a) ISPMT
b) NPER
c) IPMT
d) None of these.


Question # 10 Marks 2

The list price of a plastic chair is Rs 350. If the trade discount is 15%, what will be the amount of discount?

a) Rs 40.5
b) Rs 52.5
c) Rs. 56.5
d) Rs. 60.5


Question # 11 Marks 2

Evaluate ‘ ’; the cost of a commodity provided that the matrices
and are equal.

a) c = 2
b) c = 1
c) c = 2 or c = 1
d) None of these


Question # 12 Marks 2

If I is the identity matrix of dimension 10 then how many rows and columns a
matrix A may have provided that

a) ‘10’ no. of rows & arbitrary no. of columns
b) arbitrary no. of rows & columns
c) Strictly ‘10’ no of rows & ‘10’ no of columns.
d) ‘10’ no. of columns & arbitrary no. of rows







Question # 13 Marks 2

Decent Department Store marks down a coat which is of price Rs. 235 by 50%. A newspaper advertises an additional 10% off the coat. What is the final selling price of the coat?

a) 105.75
b) 117.5
c) 121.5
d) 200



Question # 14 Marks 2
Fashion styles buy shirts for Rs. 500 and sell them for Rs. 1200. Find the rate of markup based on the cost?

a) 40%
b) 41.7%
c) 71.4%
d) 140%



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