# MCQ for CA Foundation Maths Chapter 3 INEQUALITIES

Sample Multiple Choice Questions (MCQ's) for CA Foundation - Paper 3 - Business Mathematics and Logical Reasoning & Statistics - Chapter 3 INEQUALITIES - For Practice relevant for Dec 22 and May/June 23 Examinations

Q:1 An employer recruits experienced (x) and fresh workmen (y) for his firm under the condition that he cannot employ more than 9 people. x and y can be related by the inequality
1. x+y ≠ 9
2. x+y ≤ 9, x≥0, y≥0
3. x+y≥9 , x≥0, y≥0
4. none of these

Q:2 On the average experienced person does 5 units of work while a fresh one 3 units of work daily but the employer has to maintain an output of at least 30 units of work per day. This situation can be expressed as

1. 5x+3y≤30
2. 5x+3y>30
3. 5x+3y≥30, x≥0,y≥0
4. none of these

Q:3  A firm makes two types of products: Type A and Type B. The profit on product A is Rs 20 each and that on product B is Rs 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hours by each product and total time available in hours per week on each machine are as follows:

Machine         Product A      Product B      Available Time

M1                   3                      3                      36

M2                   5                      2                      50

M3                   2                      6                      60

The constraints can be formulated taking x1 = number of units A and x2 = number of unit of B as

1. x1+x2≤12, 5x1+2x2≤50, 2x1+6x2 ≤ 60
2. 3x1+3x2 ≥ 36, 5x1+2x2≤50, 2x1+6x2≥60, x1≥0, x2≥0
3. 3x1+3x2 ≤ 36, 5x1+2x2≤50, 2x1+6x2≤60, x1≥0, x2≥0
4. none of these

Q:4 On solving the inequalities 2x+5y≤20,3x+2y≤12, x≥0,y≥0, we get the following situation

1. (0,0),(0,4),(4,0) and (20/11,36/11)
2. (0,0),(10,0),(0,6) and (20/11,36/11)
3. (0,0),(0,4),(4,0) and (2,3)
4. (0,0),(10,0),(0,6) and (2,3)

Q:5 On solving the inequalities 6x+y≥18, x+4y≥ 12 , 2x+y≥10, we get the following situation

1. (0, 18), (12, 0), (4, 2) and (2,6)
2. (3,0), (0, 3), (4,2) and (7,6)
3. (5,0), (0, 10), (4, 2) and (7, 6)
4. (0, 18), (12, 0), (4, 2), (0, 0) and (7,6)

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