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This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Allahabad High Court Recruitment knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The three solutions of the equation f(x) = 0 are -2, 0, and 3. Therefore, the three solutions of the equation f(x - 2) = 0 are |
| A. | - 4, -2, and 1 |
| B. | -2, 0 and 3 |
| C. | 4, 2, and 5 |
| D. | 0, 2 and 5 |
| Answer» E. | |
| 2. |
The graphs of the two linear equations a x + b y = c and b x - a y = c, where a, b and c are all not equal to zero, |
| A. | are parallel |
| B. | intersect at one point |
| C. | intersect at two points |
| D. | perpendicular |
| Answer» E. | |
| 3. |
If the graph of y = f(x) is transformed into the graph of 2y - 6 = - 4 f(x - 3), point (a , b) on the graph of y = f(x) becomes point (A , B) on the graph of 2y - 6 = - 4 f(x - 3) where A and B are given by |
| A. | A = a - 3, B = b |
| B. | A = a - 3, B = b |
| C. | A = a + 3, B = -2 b |
| D. | A = a + 3, B = -2 b +3 |
| Answer» E. | |
| 4. |
f is a quadratic function whose graph is a parabola opening upward and has a vertex on the x-axis. The graph of the new function g defined by g(x) = 2 - f(x - 5) has a range defined by the interval |
| A. | [ -5 , + infinity) |
| B. | [ 2 , + infinity) |
| C. | ( - infinity , 2] |
| D. | ( - infinity , 0] |
| Answer» D. ( - infinity , 0] | |
| 5. |
The population of a country increased by an average of 2% per year from 2000 to 2003. If the population of this country was 2 000 000 on December 31, 2003, then the population of this country on January 1, 2000, to the nearest thousand would have been |
| A. | 1 846 000 |
| B. | 1 852 000 |
| C. | 1 000 000 |
| D. | 1 500 000 |
| Answer» B. 1 852 000 | |