AP ICET 2016 Paper

Question : 9 of 200

Marks: +1, -0

If the product of two positive integers m and n is 132, then what is the value of

m+n

?
I.

m>n

II.

|m-n|=1

if the statement 1 alone is sufficient to answer the question.
if the statement II alone is sufficient to answer the question.
if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.
if both the statements I and II together are not sufficient to answer the question and additional data is required.

Validate

Solution:

m and n are positive integers and m.n = 132. This implies the combinations for m, n are (1, 132), (2, 66), (3, 44), (4, 33), (6, 22), (11,12)
⇒ m, n = (132, 1), (66, 2), (44, 3)...... and so on.
∴ I alone is not sufficient.
II. Given

|m–n|=1

This restricts the (m, n) combination to (12, 11), (11, 12). For both the options,

m+n=23

∴ II alone is sufficient.

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