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GUESS
PAPER BUSINESS MATHEMATICS PAPER-I
(Commerce Group-Regular & Private
TIME: 2 HOURS
MAX. MARKS: 50
SECTION
"A" (MULTIPLE CHOICE QUESTIONS)
(10 MARKS)
NOTE
Attempt all questions from this Section.
Q.1. Choose the correct answer for each
from the given options.
i. 25% of 48 cm is
a) 12 cm
b) 24 cm
c) 25 cm
d) 36 cm
ii. The ratio of 2 Hours to 45 minutes is
a) 2:45
b) 60:45
c) 8:3
d) 4:3
iii. If a:b = 3:5, then 2a:3b is equal to
a) 2:5
b) 5:2
c) 9:10
d) 10:9
iv. The simple interest on Rs. 4,500 at
7% is Rs
a) 450
b) 7
c) 31.5
d) 45
v. The slope of the equation y = 2x + 5 is
a) 1/5
b) 2
c) 5
d) 1/2
vi. The roots of the equation x2 - 25 = 0 are
a) +-25
b) +-12.5
c) 625
d) +-5
vii. The binary equivalent of a decimal number is
a) 101
b) 110
c) 100
d) 111
viii. The matrix for which inverse does not exist is called
a) square matrix
b) null matrix
c) singular matrix
d) unit matrix
ix. The determinant of the matrix [0/0 3/5] is
a) 3
b) 5
c) 15
d) 0
x. A 2 x 4 matrix mutiplied by a 4 x 3 matrix will be a
matrix of
a) 3 x 2
b) 2 x 3
c) 2 x 4
d) 4 x 3
SECTION
"B" (SHORT ANSWER QUESTIONS)
(25 MARKS)
NOTE
Q.2 Attempt any FIVE questions from this
section. All questions carry equal marks.
i. Divide Rs. 2,380
ii. Find the quantity of which 12 is 75%
iii. At what rate of simple interest will a sum of Rs. 4,000
double itself in 8 years?
iv. Find the present value if the compound amount is Rs.
3,000 at the end of 3 years at 4% per annum.
v. Find the distance between the points (4, 3) and (2, -5).
vi. Solve the equation 3x2 + 7x + 2 = 0
vii. Convert the binary number 1001 into an equivalent
decimal number.
viii. For the matrix A = [5/6 -4/-5] show that A2 is an
identity matrix.
SECTION
"C" (DESCRIPTIVE ANSWER QUESTIONS)
(15 MARKS)
NOTE
Answer any Two questions from this
Section. All questions carry equal marks.
Q.3 The present ages of a father and his son are in the
ratio of 7:2 and the son's age is 14 year. find the ratio of
their ages six years hence
Q.4 Solve the equation
2/x + 1 - 1/x - 1 = 1/x + 2
Q.5 Solve the system of equations using the inverse of the
coefficient matrix:
3x - y = 1
x + 2y + 5
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