Data Sufficiency

Question: How many New Year's greeting cards were sold this year in your shop ?

Statements:

Last year 2935 cards were sold.
The number of cards sold this year was 1.2 times that of last year.

A:

I alone is sufficient while II alone is not sufficient

B:

II alone is sufficient while I alone is not sufficient

C:

Either I or II is sufficient

D:

Neither I nor II is sufficient

Answer: E

From both I and II, we find that the number of cards sold this year = (2935 x 1.2) = 3522.

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Question: How is Divya related to Shaloo ?

Statements:

Divya's mother is sister of Shaloo's father.
Shaloo is the daughter of Divya's grandfather's only child.

A:

I alone is sufficient while II alone is not sufficient

B:

II alone is sufficient while I alone is not sufficient

C:

Either I or II is sufficient

D:

Neither I nor II is sufficient

Answer: C

From I, we conclude that Divya's mother is Shaloo's aunt or Divya is Shaloo's cousin.

Now, Divya's grandfather's only child is Divya's parent. So, from II, we conclude that Shaloo and Divya are daughters of the same parents i.e. Divya is Shaloo's sister.

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Question: T studies in which of the schools B, C, D, E and F ?

Statements:

T does not study in the same school as either R or J.
R and J study in schools D and F respectively.

A:

I alone is sufficient while II alone is not sufficient

B:

II alone is sufficient while I alone is not sufficient

C:

Either I or II is sufficient

D:

Neither I nor II is sufficient

Answer: D

As given in I and II, R studies in school D and J studies in school F. So, T does not study in school D or school F. Thus, T studies in any one of the schools B, C or E.

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Question: Which direction is Sunny facing now ?

Statements:

If Sunny turns to his right and again turns to his right, he will be facing North.
If Sunny walks some distance and turns left and again walks some distance, then his face will be towards left of Dinesh who is facing South.

A:

I alone is sufficient while II alone is not sufficient

B:

II alone is sufficient while I alone is not sufficient

C:

Either I or II is sufficient

D:

Neither I nor II is sufficient

Answer: C

From I, we conclude that Sunny is facing South, since a person facing South shall face North on turning to his right, twice.

From II, we know that after walking, Sunny shall face towards left of Dinesh facing South i.e. East and a person walking southwards shall face East on turning to 'his left.

Thus, Sunny is facing South.

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Question: What is Nitin's rank from the top in a class of forty students ?

Statements:

There are ten students between Nitin and Deepak.
Deepak is twentieth from the top.

A:

I alone is sufficient while II alone is not sufficient

B:

II alone is sufficient while I alone is not sufficient

C:

Either I or II is sufficient

D:

Neither I nor II is sufficient

Answer: D

Since there are ten students between Nitin and Deepak, so Nitin may be eleven ranks above or below Deepak. Thus, Nitin may be 9th or 31st from the top.

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Questions for: Data Sufficiency