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Difference between revisions of "1992 AHSME Problems/Problem 4"

(Created page with "== Problem == If <math>a,b</math> and <math>c</math> are positive integers and <math>a</math> and <math>b</math> are odd, then <math>3^a+(b-1)^2c</math> is <math>\text{(A) odd ...")
(No difference)

Revision as of 02:04, 28 September 2014

Problem

If $a,b$ and $c$ are positive integers and $a$ and $b$ are odd, then $3^a+(b-1)^2c$ is

$\text{(A) odd for all choices of c} \quad \text{(B) even for all choices of c} \quad\\ \text{(C) odd if c is even; even if c is odd} \quad\\ \text{(D) odd if c is odd; even if c is even} \quad\\ \text{(E) odd if c is not a multiple of 3;evn if c is a multiple of 3}$

Solution

$\fbox{A}$

See also

1992 AHSME (Problems • Answer Key • Resources)
Preceded by
Problem 3 		Followed by
Problem 5
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30
All AHSME Problems and Solutions

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