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01 Nov 2018, 00:53
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
86% (01:18) correct
14%
(00:57)
wrong
based on 131
sessions
History
Date
Time
Result
Not Attempted Yet
If p is a negative even integer and q is a positive odd integer, which of the following must be true?
A. pq is a negative odd integer.
B. p/q is a negative odd integer.
C. p − q is a positive odd integer.
D. p + q is a positive odd integer.
E. q − p is a positive odd integer.
A. pq is a negative odd integer.
B. p/q is a negative odd integer.
C. p − q is a positive odd integer.
D. p + q is a positive odd integer.
E. q − p is a positive odd integer.
01 Nov 2018, 04:26
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A: pq has to be negative and even, So INCORRECT
B: Take p = -2, q = 3, p/q is not even an integer, So INCORRECT
C: p-q has to be negative since negative-positive = negative, so, INCORRECT
D: If p = -2, q = 3, then p+q = 1, which is positive odd, but if p = -4 and q = 3, p+q = -1, which is negative odd, So, INCORRECT
E: q-p = positive - negative = positive - (-1*positive) = positive, also odd - even = odd, hence CORRECT!
Option E
B: Take p = -2, q = 3, p/q is not even an integer, So INCORRECT
C: p-q has to be negative since negative-positive = negative, so, INCORRECT
D: If p = -2, q = 3, then p+q = 1, which is positive odd, but if p = -4 and q = 3, p+q = -1, which is negative odd, So, INCORRECT
E: q-p = positive - negative = positive - (-1*positive) = positive, also odd - even = odd, hence CORRECT!
Option E
01 Nov 2018, 05:12
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Solution
Given:
- • p is a negative even integer
• q is a positive odd integer
To find:
- • Which of the given answer choices is always true?
Approach and Working:
- • Option A: pq = -even * odd = -even – FALSE
• Option B: \(\frac{p}{q}\) = -even/odd = may not be an integer – MAY NOT BE TRUE
• Option C: p - q = -even - odd = -odd – FALSE
• Option D: p + q = -even + odd = +/- odd – MAY NOT BE TRUE (depends on the absolute value of p and q)
- o If |p| > |q|, then p + q = -odd
o If |p| < |q|, then p + q = odd
• Option E: q - p = odd + even = odd – TRUE
Hence, the correct answer is Option E
Answer: E
