Step 1: Analyse Question StemWe have been told about one cubic unit of water and one cubic unit of a certain liquid X.
We have to find out which one of the two has more weight.
Cubic unit of a liquid sounds a little abstract, so, you could introduce your own unit to understand it better.
I would use ‘Cubic centimetres’.
Therefore, we have to find out which one of the two has more weight – 1 CC of water OR 1 CC of liquid X.Step 2: Analyse Statements Independently (And eliminate options) – AD / BCEStatement 1: A cubic unit of water weighs more than \(\frac{1}{3}\) cubic unit of liquid X.
If 1 cc of liquid X weighs 27gms and 1 cc of water weighs 10gms, information given in statement 1 is satisfied.
In this case, 1 cc of liquid X weighs more.
If 1 cc of liquid X weighs 9gms and 1 cc of water weighs 10gms, information given in statement 1 is satisfied.
In this case, 1 cc of water weighs more.
The data in statement 1 is insufficient to find out which one of the two is heavier.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: A cubic unit of liquid X weighs less than 3 cubic units of water.
If 1 cc of liquid X weighs 27gms and 1 cc of water weighs 10gms, information given in statement 1 is satisfied.
In this case, 1 cc of liquid X weighs more.
If 1 cc of liquid X weighs 9gms and 1 cc of water weighs 10gms, information given in statement 1 is satisfied.
In this case, 1 cc of water weighs more.
The data in statement 2 is insufficient to find out which one of the two is heavier.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combiningFrom statement 1: A cubic unit of water weighs more than 1/3 cubic unit of liquid X.
From statement 2: A cubic unit of liquid X weighs less than 3 cubic units of water.
If 1 cc of liquid X weighs 27gms and 1 cc of water weighs 10gms, information given in statement 1 and 2 is satisfied.
In this case, 1 cc of liquid X weighs more.
If 1 cc of liquid X weighs 9gms and 1 cc of water weighs 10gms, information given in statement 1 and 2 is satisfied.
In this case, 1 cc of water weighs more.
The combination of statements is insufficient to find out which one of the two is heavier.
Statements 1 and 2 together are insufficient. Answer option C can be eliminated.
The correct answer option is E. _________________