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44 votes
44 votes
44. The quotient of 16 and a is greater than 4. What is a possible value of a?

A. 2
B. 4
C. -2
D. 8
E. 5

User Rohan Dubal
by
2.8k points

1 Answer

15 votes
15 votes

Answer:

A

Explanation:

16 / a = x (+ r)

16 is the dividend

a is the divisor

x is the quotient

(r is the remainder, if the division is an integer division)

the smaller the divisor, the larger the quotient, of course. and vice versa.

remember, a division is the calculation how often the divisor fits into the dividend.

therefore, the smaller the divisor, the more often it fits into the dividend.

the quotient must be greater than 4. so, 4 itself is not a valid quotient for this problem.

but let's start with it :

16 / 4 = 4.

so, a = 4 (B) is not a valid solution.

to make the quotient larger (than 4), a must be smaller than 4.

the only valid solution is

A a = 2

except for C all other answer options are larger than 4 making the quotient smaller than 4.

and C is negative, which would make the quotient negative and therefore smaller than 4.

so, A is the only remaining valid answer.

16/2 = 8

perfect. the quotient (8) is larger than 4.

User Shalom Peles
by
3.0k points