turkey-yks 2021 Q1

turkey-yks · Other · yks-ayt Indices and Surds Number-Theoretic Reasoning with Indices

For distinct natural numbers $a$, $b$, and $c$,
$$\frac { 6 ^ { a } \cdot 15 ^ { b } } { 9 ^ { b } \cdot 10 ^ { c } }$$
is equal to an integer. Accordingly, which of the following orderings is correct?
A) $a < b < c$
B) $b < a < c$
C) $b < c < a$
D) $c < a < b$
E) $c < b < a$

For distinct natural numbers $a$, $b$, and $c$,

$$\frac { 6 ^ { a } \cdot 15 ^ { b } } { 9 ^ { b } \cdot 10 ^ { c } }$$

is equal to an integer.
Accordingly, which of the following orderings is correct?\\
A) $a < b < c$\\
B) $b < a < c$\\
C) $b < c < a$\\
D) $c < a < b$\\
E) $c < b < a$

Paper Questions

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