Is - 3

Question

Is - 3 < y < 5 ?

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

Kudos for a correct  solution .

nipunjain14 · Answer

Statement 1: -2 <y <7
This omits value y as -2 Insufficient

Statement 2: cleanly absorbs all values in the question 
Thus SUFFICIENT

OME: B

HKD1710 · Answer

is - 3 < y < 5?
are the values of Y = {-2,-1,0,1,2,3,4}?

1) - 2 < y < 7
values of y are {-1,0,1,2,3,4,5,6}

5 & 6 is not within the range of -3 < y < 5 but other values are. In-sufficient.

2) - 4 < y < 6
values of y are {-3,-2,-1,0,1,2,3,4,5}

all the values of Y = {-2,-1,0,1,2,3,4} are sub set of {-3,-2,-1,0,1,2,3,4,5}.

so if we say -4 < y < 6 then we can always say - 3 < y < 5. Sufficient.
Hence: Answer is "B".

Note: writing the ranges on number line makes it very easy to find out the ranges, common/non common ranges.

padman777 · Answer

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

Vodolaz · Answer

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

amtm · Answer

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

9SidMn · Answer

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

chanakya84 · Answer

My take is Option E. Question: -3 5 or < 5 Option II: -4 -3 or < -3 Option I and II: -2 5 (5.9, 4). Question doesn't states that y is an integer. Hence Option E Thanks, Chanakya

Vodolaz · Answer

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

chanakya84 · Answer

Agree..Just throwing a diff. perspective..

MathRevolution · Answer

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.

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

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