Is - 3 < y < 5 ? (1) - 2 < y < 7 (2) - 4 < y < 6

as per no line
1 . give y is between -2 and 7 (beyond the original cond range)
not suff
2. includes the orig conditions range
suff


ANS :B

1) -2 < y < 7

Y could be:
y=6 - out of range - NO
y=3 - in the range - YES
insuff


2) -4 < y < 6

Y could be:
y= 3 in the range YES
y= 5 out of range NO

insuff


(1+2) -4<y<6 and -2<y<7 -> hence -2<y<6
Y could be:
y= 3 in the range YES
y= 5 out of range NO
insuff

ans: E

IMO its E


1. Insuff as y could be +6 or it could be +1

2. Insuf as y could be +5 or it could be +1

combined inequality is -2 < y < 6 - this is insuff as well as y could be +5 or +1

In S2 - y can be -3.01 or 5.01 too. Unless given , y is not an integer .

My take is Option E.

Question:
-3<y<5?

Option I:
-2<y<7
y can be > 5 or < 5

Option II:
-4<y<6
y can be > -3 or < -3

Option I and II:
-2<y<6
y can be < 5 or > 5 (5.9, 4). Question doesn't states that y is an integer.

Hence Option E

Thanks,
Chanakya

Even if y would be integer Option I and II insuff -> y=5 is out of the range.

Agree..Just throwing a diff. perspective..

Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Is - 3 < y < 5 ?

(1) - 2 < y < 7
(2) - 4 < y < 6

The condition is sufficient if the range of the question includes that of the condition.

There is one variable (y) and 2 equations are given from the conditions, making it likely that (D) will be our answer.
Condition 1 is insufficient as the range of the question does not include that of the condition
Condition 2 is insufficient for the same reason.
Looking at the conditions together, -2<y<6 it is insufficient as the range of the question does not include that of the condition.
The answer becomes (E).

For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.