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12 Jul 2019, 01:44
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E
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Difficulty:
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47% (01:10) correct
53%
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wrong
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If a and b are two consecutive integers, then what is the value of a?
(1) ab = 6
(2) 3^a > 1
(1) ab = 6
(2) 3^a > 1
12 Jul 2019, 04:02
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question : If a and b are two consecutive integers, then what is the value of a?
let's evaluate statement 1:
(1) ab = 6 : we have two possibilities here: (-2)(-3)=6 or (2)(3)=6, both are consecutive so statement 1 alone is not sufficient
let's evaluate statement 2:
(2)3^a > 1 ==> this indicates that a is positive===> a is positive but this is not sufficient since we have no info on b
taking (1) and (2): a*b=6 and both a and b are consecutive integers, a is positive according to statement 2 than b must be positive too since ab=6 if and only if b is positive in this case===> a must be equal 2 and b must be equal 3.
both statement together are sufficient (C)
let's evaluate statement 1:
(1) ab = 6 : we have two possibilities here: (-2)(-3)=6 or (2)(3)=6, both are consecutive so statement 1 alone is not sufficient
let's evaluate statement 2:
(2)3^a > 1 ==> this indicates that a is positive===> a is positive but this is not sufficient since we have no info on b
taking (1) and (2): a*b=6 and both a and b are consecutive integers, a is positive according to statement 2 than b must be positive too since ab=6 if and only if b is positive in this case===> a must be equal 2 and b must be equal 3.
both statement together are sufficient (C)
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12 Jul 2019, 08:40
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Statement 1:
ab = 6
this leaves 4 possibilities for values of a & b
when a = 2, b = 3
when a=-2, b=-3
when a=3, b=2
when a=-3, b=-2
Not sufficient
Statement 2)
3^a >1
this implies a is positive.
Alone clearly insufficient.
statement 1 & 2 together:
We still have two possibilities for a.
Hence together also not sufficient.
Answer should be E
ab = 6
this leaves 4 possibilities for values of a & b
when a = 2, b = 3
when a=-2, b=-3
when a=3, b=2
when a=-3, b=-2
Not sufficient
Statement 2)
3^a >1
this implies a is positive.
Alone clearly insufficient.
statement 1 & 2 together:
We still have two possibilities for a.
Hence together also not sufficient.
Answer should be E
