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The solution to assignment no.2 of mth001 (spring 2012) course. The assignment includes questions on classifying monomials, binomials, and trinomials, finding unknown values in proportions, and identifying column matrices, square matrices, and row matrices. It also includes solutions to mr. Shakeel's loan problem and finding the mode for given data.
Typology: Exercises
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Maximum Marks: 20 Due Date: june25, 2012
DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
- To solve this assignment, you should have good command over 17- lectures. **Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in the 17 to 24 lectures.
Question 1; Marks:3+2= (i) Classify these as monomial, binomial and trinomial. 2 2 2
( ) 6 3 binomial ( ) 3 6 2 trinomial ( ) 9 monomial
a y x b x xy y c z
(ii) Find the unknown value in the proportion: 3x+4:8 = 3x : 6 Solution: 3 +4 :8 = 3 : 6 3 +4 3 8 6 18 24 24 (by cross multiplication)
24 24 18 24 6 4
x x x x
x x x x x x
Question 2; Marks:5+5= (i) Mr. Shakeel borrowed an amount of Rs 50,000 from bank for 5 years. After 5 years he has returned Rs 60,000. Find the rate of interest that he has to bear. Solution: P=Rs 50, T= I=60,000-50,000=10, R=? I=PRT/ I100/PT=R 10,000100/50,0005=R 4%=R
(ii) Find mode for the following data.
Class interval Class boundaries Frequency 20-23 19.5-23.5 6 24-27 23.5-27.5 9 28-31 27.5-31.5 8 32-35 31.5-35.5 3 36-39 35.5-39.5 4
Solution: ^ 1 ( 1 ) ( 2 )
m m m
f f X l h f f f f
Where l= lower class boundary of the modal class. f (^) m = frequency of the modal class. f 1 =frequency preceding the modal class. f 2 =frequency following the modal class. h=class interval ^ (^9 ) 23.5 4 (9 6) (9 8) 3 23.5 4 23.5 3 26. 4
Question 3; Marks:3+2= (i) Identify column matrix, square matrix, and row matrix from the following: