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Skywalker18
If J is an integer, then the LEAST possible value of |19-7J| is

A. 1
B. 2
C. 3
D. 4
E. 5

This is a copy of the following OG question: https://gmatclub.com/forum/if-y-is-an-i ... 39867.html
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Skywalker18
If J is an integer, then the LEAST possible value of |19-7J| is

A. 1
B. 2
C. 3
D. 4
E. 5
When J \(= 2\)

\(7\)J \(= 7 * 2 = 14\)

\(|19-7\)J\(| = |19-14| = |5| = 5\)

When J \(= 3\)

\(7\)J \(= 7 * 3 = 21\)

\(|19-7\)J\(| = |19-21| = |2| = 2\)

Therefore LEAST possible value of \(|19-7\)J\(| = 2\)

Answer (B)...
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For the value of |19 - 7J| to be , 7J should take a value close to 19. Using J=3, we get 2 as the lowest value.

Answer is B
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Skywalker18
If J is an integer, then the LEAST possible value of |19-7J| is

A. 1
B. 2
C. 3
D. 4
E. 5

We need to find a value of |19-7J| that is closest to zero.

When J = 2, |19-7J| = |5| = 5.

When J = 3, |19-7J| = |-2| = 2.

Thus, the least possible value of |19-7J| is 2.

Answer: B
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Skywalker18
If J is an integer, then the LEAST possible value of |19-7J| is

A. 1
B. 2
C. 3
D. 4
E. 5

In such questions, value of variable "J" is a trap that can be seen in answer choice C,

Look for a multiple of 7 nearest to 19. It is 21.

Therefore |19-21| = 2

(B)
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Absolute(19-7(2))=5
Absolute(19-7(0))=19
Absolute(19-7(3))=2 -----Ans
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