Business Mathematics - For Class ICOM - Part 1 (Commerce Group) - Model papers with solved MCQs 2020 -2021

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Business Mathematics
For Class XI (Commerce Group)
Model papers 2020 -2021

Time: 50 Minutes

Max. Marks: 25

SECTION 'B'

(SHORT-ANSWER QUESTIONS) (15 Marks)

Q2. Answer any three part question. All questions carry equal marks.
(i) If 16 men paint 8 houses in 7 days. How many houses can 5 men paint in 14 days?
SOLUTION 2(i):

(ii) Perform the following binary operations:
(a) 1011 + 1001 — 111
(b) 1001 x 101
SOLUTION 2(ii):

(iii) Find the compound interest and accumulate amount on Rs.60000 for 5 years at 7% per annum compounded quarterly.
SOLUTION 2(iii):
P = Rs. 60,000
n = 5 years
i = 7% or 0.07

A = P (1 + ⁱ/₄)⁴ⁿ
A = 60,000 (1 + ^0.07/₄)^{4 x 5}
A = 60,000 (1 + 0.0175) ²⁰
A = 60,000 (1.0175) ²⁰
A = 60,000 x 1.414778
A = Rs. 84, 886.69 Ans.

Compound Interest = 84, 886.69 - 60,000
Compound Interest = 24, 886.69 Ans.

(iv) Find the inverse of the matrix A=
[2  -8]
[3   6]
SOLUTION 2(iv):

OR

(a) Convert the binary number 1011₂ to its equivalent decimal number.
SOLUTION 2(iv)(a):
1011₂
⇒ (1 x 2³) + (0 x 2²) + (1 x 2¹) + (1 x 2⁰)
⇒ (1 x 8) + (0 x 4) + (1 x 2) + (1 x 1)
⇒ 8 + 0 +2 + 1
⇒ 11
⇒ (1011)₂ = (11)₁₀ Ans.

(b) Convert the decimal number 56 to the equivalent binary number.
SOLUTION 2(iv)(b):

(v) Find the equation of straight line passes through the point (2, 3) with slope=4. Also find x-intercept and y-intercept.
SOLUTION 2(v):
x_I = 2
y_I = 3
m = 4

Equation Of Straight Line
y - y_I = m(x - x_I)
y - 3 = 4(x - 2)
y - 3 = 4x - 8
y - 3 - 4x + 8 = 0
- 4x + y + 5 = 0
4x - y - 5 = 0
OR
y = 4x - 5

Comparing with y = mx + c
y = 4x - 5
Slope and y-intercept:
Slope = m = 4
y-intercept = c - 5

x-intercept:
4x - y - 5 = 0
4x - 0 - 5 = 0
4x = 5
x = 5 /4 Ans.

SECTION 'C'

(DETAILED —ANSWER QUESTIONS) (10 Marks)

Answer any one question from this section. All questions carry equal marks.
Q3. (a) Solve the equation:
-2 /2x+1 - 4 / 2x-1 = 5
SOLUTION 3(a):

(b) Solve the following simultaneous equations by Cramer's Rule. x + 2y = 6, 2x + 7y = 3
SOLUTION 3(b):
x + 2y = 6
2x + 7y = 3

Q4. (a) For the equation x2 — 5x +6 = 0, find the vertex and roots of the parabola.
SOLUTION 4(a):
y = ax² + bx + c = 0
Here, a = 1, b = -5, c = 6

(b) Distribute Rs. 120000 among three partners A, B and C such that A:B = 1:2 and B:C = 3:1.
SOLUTION 4(b):
A:B = 1:2 and B:C = 3:1

SOURCE: Board Of Intermediate Education Karachi