Is x positive? (1) x > −3 (2) x is even
AStatement (1) alone is sufficient; (2) is not.
BStatement (2) alone is sufficient; (1) is not.
CBoth statements together are sufficient; neither alone is.
DEach statement alone is sufficient.
EStatements together are not sufficient.
Answer & Solution
Correct answer: C. Both statements together are sufficient; neither alone is.
1. (1) x > −3 includes 0. 2. (2) x even includes −2, 0. 3. Together: x even and >−3 → x ∈ {−2, 0, 2,…} still includes 0. Insufficient. Re-check: needs strict positivity test. Actually neither alone is enough; together still ambiguous → E. Correction: E.
_Source: 501-GMAT-Questions Ch DS / Manhattan Quant Bank_
Related questions
How many students passed?
(1) 30 students total
(2) 60% passedIs 1/x > 1?
(1) x is positive
(2) x < 1Are sets A and B disjoint?
(1) A ∩ B = ∅
(2) A and B nonemptyHow old is John?
(1) Twice his age 4 years ago = 20
(2) He is older than 12Is the rectangle a square?
(1) Perimeter = 20
(2) All sides equalAre the lines perpendicular?
(1) Slopes are m and −1/m
(2) Slopes are 2 and −1/2Value of x in 5x − 10 = 0?
(1) x is rational
(2) 5x = 10Is the integer p prime?
(1) p has exactly 2 divisors
(2) p > 2