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This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
1. |
For a given system of equations if |A|=0 and (adj A)B O(zero matrix), then which of the following is correct regarding the solutions of the given equations? |
A. | there will be exactly two solutions |
B. | there will be exactly one solution |
C. | the solution does not exist |
D. | there are one or more solutions |
Answer» D. there are one or more solutions | |
2. |
The cost of 8kg apple and 3kg is Rs 70. The cost of 10kg apple and 6kg orange is 90. Find the cost of each item if x is the cost of apples per kg and y is the cost of oranges per kg. |
A. | x=2, y=3 |
B. | x=3, y=2 |
C. | x=2, y=2 |
D. | x=3, y=3 |
Answer» C. x=2, y=2 | |
3. |
A given systems of equations is said to be inconsistent if _________________ |
A. | it has one or more solutions |
B. | it has infinitely many solutions |
C. | it has no solutions |
D. | it has exactly one solution |
Answer» D. it has exactly one solution | |
4. |
Which of the following conditions holds true for a system of equations to be consistent? |
A. | It should have one or more solutions |
B. | It should have no solutions |
C. | It should have exactly one solution |
D. | It should have exactly two solutions |
Answer» B. It should have no solutions | |