Download BCA – 105(Basic Mathematics) - SODEL

JAIPUR NATIONAL UNIVERSITY, JAIPUR
School of Distance Education & Learning
Internal Assignment No. 1
Bachelor of Computer Application (BCA)
Paper Code:
Paper Title:
BCA - 105
Basic Mathematics
Last Date of submission:
Max. Marks: 15
Note: Question No. 1 is of short answer type and is compulsory for all the students. It
carries 5 Marks. (Word limits 50-100)
Section-A
Simplify the expression (4x3)2 + x3 (x3+2x) +3x4.
Solve the equation. –(-x-5) + 5(x-9) = 2(x+8)-(2x+5)
Solve by using the addition method.
0.4x - 0.6y = 0.5
0.2x – 0.3y = 0.7
(IV) What is the degree of the polynomial 2x9 + 7x3 + 191?
(V) Simplify (2x + 5y) + (3x – 2y)
Section-B
(I)
(II)
(III)
Note: Answer any two questions. Each question carries 5 marks (Word limits 500)
Q1. (a) The formula C=23.95d+0.15(m-780) is used to compute the cost or renting car.
Compute the value of C when d=7 and m=956.
(b) The formula A=P (1+r/n) r is used in investment computation. Compute the value of A
When P=8000, r=0.08, n=4, and t=15.
Q2. Show that the following system is consistent if and only if c=2a-3b and solve the system in
this case
2x-y+3z=a
3x+y-5z=b
-5x-5y+21z=c.
Q3. Solve each system by either the substitution or elimination by addition method.
1/2x + 1/3y = 2/3
1/3x + 1/5y = 7/15
JAIPUR NATIONAL UNIVERSITY, JAIPUR
School of Distance Education & Learning
Internal Assignment No. 2
Bachelor of Computer Application (BCA)
Paper Code:
Paper Title:
BCA - 105
Basic Mathematics
Last Date of submission:
Max. Marks: 15
Note: Question No. 1 is of short answer type and is compulsory for all the students. It
carries 5 Marks. (Word limits 50-100)
Section-A
(I)
(II)
(III)
(IV)
(V)
Solve the equation. x2 + -5x + 6=0
Solve the term, (√8 + √6) (√3 + √2).
Solve the equation, 2x2 + 5x + 3 = 0.
Let S = {1, 2, 3}. How many subsets does S contain?
What are the basic concepts of sets? How many types of sets there are?
Section-B
Note: Answer any two questions. Each question carries 5 marks (Word limits 500)
Q1. The width of a rectangle is 15 cm less than 3 times the length. If the area is 42 square cm.
Find the dimensions of the rectangle.
Q2. Use the quadratic formula to solve the following quadratic equations.
(A) x2 – 5x – 2 = 0
(B) 3x2 + 12x + 2 = 0
Q3. If A= {4, 5}, B= {6, 7}, C = {7, 8}, then find
[(A * B)] U (B * C)]