19. If x is an integer, what is the value of x?
(1) –2(x + 5) < -1
(2) – 3x > 9
ans. C
25. If x and y are consecutive odd integers, what is the sum of x and y?
(1) The product of x and y is negative.
(2) One of the integers is equal to –1.
ans. A
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2 DS questions
This topic has expert replies
#19
x is an int
A. -2x - 10 < -1
-2x < -1+10
-2x <9
x> - 9/2 or -4.5
Not sufficient
B. -3x > 9
x<-3
Not sufficient
Together
-4.5<x<-3
Since x is an int, the only value in between that is an integer is -4
#25.
x and y are consecutive odd integers
A. xy is negative, so either x is negative or y is negative
since they are consecutive odd, x must be -1 and y must be 1 or vise versa
x+y = -1+1 = 0
Sufficient
B. if x = -1, then y could be either 1 or -3
Not sufficient
x is an int
A. -2x - 10 < -1
-2x < -1+10
-2x <9
x> - 9/2 or -4.5
Not sufficient
B. -3x > 9
x<-3
Not sufficient
Together
-4.5<x<-3
Since x is an int, the only value in between that is an integer is -4
#25.
x and y are consecutive odd integers
A. xy is negative, so either x is negative or y is negative
since they are consecutive odd, x must be -1 and y must be 1 or vise versa
x+y = -1+1 = 0
Sufficient
B. if x = -1, then y could be either 1 or -3
Not sufficient