Practice MCQ Questions and Answer on Data Sufficiency

1. Question :

On which date in August was Kapil born ?

Statements :
I. Kapil's mother remembers that Kapil was born before nineteenth but after fifteenth.
II. Kapil's brother remembers that Kapil was born before seventeenth but after twelfth.

(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

Solution:

Answer & Solution Answer: Option E Solution: From I, we conclude that Kapil was born on any one of the dates among 16th, 17th and 18th. From II, we conclude that Kapil was born on any one of the dates among 13th, 14th, 15th and 16th. Thus, from both I and II, we conclude that Kapil was born on 16th August.

2. Question :

Which direction is Sunny facing now ?

Statements :
I. If Sunny turns to his right and again turns to his right, he will be facing North.
II. 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

Solution:

 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.

3. Question :

What is the code for 'is' in the code language ?

Statements :
I. In the code language, 'shi tu ke' means 'pen is blue'.
II. In the same code language, 'ke si re' means 'this is wonderful'.

(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

Solution:

Answer & Solution Answer: Option E Solution: In I and II, the common word is 'is' and the common code word is 'ke'. So, 'ke' is the code for 'is'.

4. Question :

On which date of the month was Anjali born in February 2004 ?

Statements :
I. Anjali was born on an even date of the month.
II. Anjali's birth date was a prime number.

(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

Solution:

Answer & Solution Answer: Option E Solution: From I and II, we conclude that Anjali was born in February 2004 on a date which is an even prime number. Since the only even prime number is 2, so Anjali was born on 2nd February, 2004.

5. Question :

In which year was Rahul born ?

Statements :
I. Rahul at present is 25 years younger to his mother.
II. Rahul's brother, who was born in 1964, is 35 years younger to his mother.

(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

Solution:

Answer & Solution Answer: Option E Solution: From both I and II, we find that Rahul is (35 - 25) = 10 years older than his brother, who was born in 1964. So, Rahul was born in 1954.

6. Question :

What is Sachin's rank from the top in a class of 25 students ?

Statements :
I. Sachin ranks three ranks above Amit who ranks 18th from the bottom.
II. Sachin's rank from the top is two ranks below Deepti who ranks 23rd from the bottom.

(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

Solution:

 From I, We know that in a class of 25 students, Amit ranks 18th from the bottom and 8th from the top. Sachin is three ranks above Amit and so, Sachin ranks 5th from the top. From II, Deepti ranks 23rd from the bottom and hence, 3rd from the top. Sachin, being 2 ranks below Deepti, is, thus, 5th from the top.

7. Question :

In a row of five buildings - P, Q, R, S and T, which building is in the middle ?

Statements :
I. Buildings S and Q are at the two extreme ends of the row.
II. Building ,T is to the right of building R.

(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

Solution:

 From I, we have the order : S, -, -, -, Q. From II, we have the order : R, T. Combining the above two, we get two possible orders : S, R, T, P, Q or S, P, R, T, Q. Thus, either T or R is in the middle.

8. Question :

In a certain code, 'nop al ed' means They like flowers'. Which code word means 'flowers' ?

Statements :
I. 'id nim nop' means 'They are innocent'.
II. 'gob ots al' means 'We like roses'.

(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

Solution:

Answer & Solution Answer: Option E Solution: In the given statement and I, the common word is 'They' and the common code word is 'nop'. So, 'nop' is the code for 'They'. In the given statement and II, the common word is 'like' and the common code word is 'al'. So, 'al' is the code for 'like'. Thus, in the given statement, 'ed' is the code for 'flowers'.

9. Question :

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

Statements :
I. There are ten students between Nitin and Deepak.
II. 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

Solution:

 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.

10. Question :

Among five friends, who is the tallest ?

Statements :
I. D is taller than A and C.
II. B is shorter than E but taller than D.

(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

Solution:

Answer & Solution Answer: Option E Solution: From I, we have: D > A, D > C. From II, we have: E > B > D. Combining the above two, we get :E > B > D > A > C or E > B > D >C > A. Thus, E is the tallest.

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Practice MCQ Questions and Answer on Data Sufficiency

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