tmua None Q16

tmua · Uk · specimen_paper1 Indices and Surds Number-Theoretic Reasoning with Indices

16. Given that $c$ and $d$ are non-zero integers, the expression $\frac { 10 ^ { c - 2 d } \times 20 ^ { 2 c + d } } { 8 ^ { c } \times 125 ^ { c + d } }$ is an integer if
A $\quad c < 0$
B $\quad d < 0$
C $\quad c < 0$ and $d < 0$
D $\quad c < 0$ and $d > 0$
E $\quad c > 0$ and $d < 0$
F $\quad c > 0$ and $d > 0$ G $\quad d > 0$
H $\quad c > 0$

16. Given that $c$ and $d$ are non-zero integers, the expression $\frac { 10 ^ { c - 2 d } \times 20 ^ { 2 c + d } } { 8 ^ { c } \times 125 ^ { c + d } }$ is an integer if

A $\quad c < 0$

B $\quad d < 0$

C $\quad c < 0$ and $d < 0$

D $\quad c < 0$ and $d > 0$

E $\quad c > 0$ and $d < 0$

F $\quad c > 0$ and $d > 0$\\
G $\quad d > 0$

H $\quad c > 0$\\

Paper Questions

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