MCQOPTIONS
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MCQOPTIONS
This section includes 9 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. |
Find the values of x and y for the given system of equations. |
| A. | x=\(\frac{7}{5}\), y=\(\frac{3}{5}\) |
| B. | x=-\(\frac{7}{5}\), y=-\(\frac{3}{5}\) |
| C. | x=-\(\frac{7}{5}\), y=\(\frac{3}{5}\) |
| D. | x=\(\frac{7}{5}\), y=-\(\frac{3}{5}\) View Answer |
| Answer» B. x=-\(\frac{7}{5}\), y=-\(\frac{3}{5}\) | |
| 4. |
Find the value of x, y, z for the given system of equations. |
| A. | x=\(\frac{125}{8}\), y=\(\frac{15}{2}\), z=\(\frac{15}{8}\) |
| B. | x=\(\frac{125}{8}\), y=\(\frac{15}{2}\), z=-\(\frac{15}{8}\) |
| C. | x=\(\frac{125}{8}\), y=-\(\frac{15}{2}\), z=-\(\frac{15}{8}\) |
| D. | x=-\(\frac{125}{8}\), y=\(\frac{15}{2}\), z=-\(\frac{15}{8}\) View Answer |
| Answer» C. x=\(\frac{125}{8}\), y=-\(\frac{15}{2}\), z=-\(\frac{15}{8}\) | |
| 5. |
The given system of equations is consistent. |
| A. | True |
| B. | FalseView Answer |
| Answer» B. FalseView Answer | |
| 6. |
The given system of equation is inconsistent. |
| A. | True |
| B. | FalseView Answer |
| Answer» C. | |
| 7. |
Find the value of x and y for the given system of equations. |
| A. | x=\(\frac{2}{7}\), y=\(\frac{24}{7}\) |
| B. | x=-\(\frac{2}{7}\), y=-\(\frac{24}{7}\) |
| C. | x=-\(\frac{2}{7}\), y=\(\frac{24}{7}\) |
| D. | x=\(\frac{2}{7}\), y=-\(\frac{24}{7}\) View Answer |
| Answer» D. x=\(\frac{2}{7}\), y=-\(\frac{24}{7}\) View Answer | |
| 8. |
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 | |
| 9. |
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 | |