Explore topic-wise MCQs in Allahabad High Court Recruitment.

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