Simplify 3 \(^{n − 1}\) × \(\frac{27^{n + 1}}{81^n}\)

A. 3\(^{2n}\)

B. 9

C. 3ⁿ

D. 3 \(^{n + 1}\)

The locus of a point which is equidistant from the line PQ forms a

A. circle centre P

B. pair of parallel lines each opposite to PQ

C. circle centre Q

D. perpendicular line to PQ

Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60^o

A. 100^o

B. 140^o

C. 120^o

D. 10^o

Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 7, 10, 6, 5

A. 16

B. 14

C. 12

D. 10

Find the sum to infinity of the series
\(\frac{1}{4}\), \(\frac{1}{8}\), \(\frac{1}{16}\),..........

A. \(\frac{1}{2}\)

B. \(\frac{3}{5}\)

C. \(\frac{-1}{5}\)

D. \(\frac{73}{12}\)

The base in which the operation was performed was

A. 6

B. 2

C. 4

D. 5

The value of x + x ( xx) when x = 2 is

A. 16

B. 10

C. 18

D. 24

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon

A. 8

B. 6

C. 4

D. 3

A cylindrical tank has a capacity of 3080m³. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.

A. 23m

B. 25m

C. 20m

D. 22m

Simplify 4\(\sqrt{27}\) + 5\(\sqrt{12}\) − 3\(\sqrt{75}\)

A. 7

B. − 7

C. − 7\(\sqrt{3}\)

D. 7\(\sqrt{3}\)