Data Sufficiency Questions and Answers

As given in statements I and II, we have Glory = Vijay = Katie, Vijay + Katie + Arica = 32 and Arica = Vijay + Katie.

Putting Vijay + Katie = Arica in second. we get 2Arica = 32 or Arica = 16.

Thus, Vijay + Katie = 16 and Vijay = Katie. So, Vijay = Katie = 8. Thus, Glory = 8. Hence, both the statements are needed.

‘79’ means ‘harmful thing’ and ‘274’ means ‘no bad thing’. Hence common letter ‘7’ denotes ‘thing’. Hence ‘9’ is obviously ‘harmful’. So I alone can be sufficient. Also, ‘79’ is ‘harmful thing’ and ‘839’ is ‘more is harmful’ from which it can be implied that ‘9’ is ‘harmful’. Hence II alone can also be sufficient. Hence either I or II alone can be sufficient.

From I, the correct order is Eka, Bka, Cka or Cka, Bka, Eka.
From II, the order is Eka, Bka.
From III, the order is Aka, Dka, Eka.
Combining all the three, we get the order as: Aka, Dka, Eka, Bka, Cka.
Clearly, Eka is sitting in the middle. Thus all the three statements are required.

From I and II we conclude that Arts period began at 3.00 p.m. Zoology period began at 2.00 p.m. and Psychology period began at 5.00 p.m. So, the Accounting period began at 4.00 p.m. From I and III, it is clearly seen that Arts period ended at 4.00 p.m. followed by Accounting to start at 4.00 p.m.

From I, Sapura, Adyta and Sassy are siblings.
From II, Nubba, Carmela and Adyta are siblings. It infers that Sapura, Adyta, Nubba, Carmela and Sassy are siblings. Hence option C is correct.

Even both the statements together are not sufficient to answer the question because we don’t have total profit or amount invested information.

Clearly information is not sufficient. As if 3x parrots and 2x rabbits, so doubling the number of rabbits would make it 2(2x) = 4x rabbits. By statement I we have ratio as 3:4. So option (B) is not sufficient. With a ratio of 3:2, the options are 3 parrots and 2 rabbits; 6 parrots and 4 rabbits; 9 parrots and 6 rabbits; etc.
Further as per statement ii three more rabbits would tip the ratio so that there were more rabbits: 3 parrots and 2+3 rabbits. And 6 parrots and 4 + 3 rabbits = more rabbits. Clearly there are 3-4 possible solutions not a concrete one hence option D is correct.

statement I= x+y+z; 3 = 5, which means that x+y+z = 15.
We know that x = 5, so y+z must equal 10. Thus it is sufficient.
By statement II. Knowing that x = 5, this statement tells us that 5y + 5z = 10. Divide both sides by 5 to find that y + z = 2.

Clearly we know that in any triangle X+Y+Z=180 degrees, and we can also say that x=y, y=z, or x=z. now if we look towards statement I, we cannot say that X = Y = 30 and Z = 120, or X = 120 and Y = Z = 30. Hence I is not sufficient.
As per statement II: we have angle z=120. So if Z is 120, then X and Y will be summation of remaining 60, and as we know that two sides must be equal, thus this will be 30 at each side.

Clearly from the statement II 17th is the 3rd Saturday and so, 14th is Wednesday.