Practice MCQ Questions and Answer on Data Sufficiency

21. Question :

How is M related to N?

Statements :
I. P, who has only two kids, M and N, is the mother-in-law of Q, who is sister-in-law of N.
II. R, the sister-in-law of M, is the daughter-in-law of S, who has only two kids, M and N.

• (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

Show Answer

 From I, we conclude that P is the mother of M and N, while Q is the daughter-in-law of P and sister-in-law of N. Thus, Q is M's wife and hence, M is N's brother. From II, we conclude that M and N are the children of S. Also, R is the daughter-in-law of S and sister-in-law of M. So, R is N's wife and thus, N is M's brother. Hence, M is either brother or sister of N.

22. Question :

Among T, V, B, E and C, who is the third from the top when arranged in the descending order of their weights ?

Statements :
I. B is heavier than T and C and is less heavier than V who is not the heaviest.
II. C is heavier than only T.

• (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

Show Answer

 From I, we have: B > T, B > C, V > B. Thus, V is heavier than each one of B, T and C. But V is not the heaviest. So, E is the heaviest. Thus, we have the order. E>V>B>T>C or E>V>B>C>T. Clearly, B is third from the top.

23. Question :

How is A related to D ?

Statements :
I. B is the brother of A.
II. B is D's son.

• (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

Show Answer

 From I and II, we conclude that A is either son or daughter of D.

24. Question :

What time did the train leave today ?

Statements :
I. The train normally leaves on time.
II. The scheduled departure is at 14 : 30.

• (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

Show Answer

 Clearly, even both I and II together do not reveal the exact time of departure of the train today.

25. Question :

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

Statements :
I. Last year 2935 cards were sold.
II. 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

Show Answer

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

26. Question :

How is X related to Y?

Statements :
I. Y says, "I have only one brother".
II. X says, "I have only one sister".

• (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

Show Answer

 The statements in I and II do not provide any clue regarding relation between X and Y.

27. Question :

Who among P, Q, R, S and T is the lightest?

Statements :
I. R is heavier than Q and T but lighter than S.
II. S is not the heaviest.

• (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

Show Answer

 From I, we have: R>Q, R>T, S>R i.e. S>R>Q>T or S>R>T>Q. From II, S is not the heaviest. So, P is the heaviest. Thus, we have: P > S > R > Q > T or P > S > R > T > Q. Hence, either T or Q is the lightest.

28. Question :

On which day in April is Gautam's birthday?

Statements :
I. Gautam was born exactly 28 years after his mother was born.
II. His mother will be 55 years 4 months and 5 days on August 18 this 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

Show Answer

Answer & Solution Answer: Option E Solution: Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in I.

29. Question :

Gaurav ranks eighteenth from the top in a class. What is his rank from the last?

Statements :
I. There are 47 students in the class.
II. Jatin who ranks 10th in the same class, ranks 38th from the last.

• (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

Show Answer

 From I, we conclude that in a class of 47 students, Gaurav ranks 18th from the top and hence 30th from the last. From II, we conclude that there are 9 students above and 37 students below Jatin in rank. Thus, there are (9 + 1 + 37) = 47 students in the class. So, Gaurav who ranks 18th from the top, is 30th from the last.

30. Question :

How many gift boxes were sold on Monday ?

Statements :
I. It was 10% more than the boxes sold on the earlier day i.e. Sunday.
II. Every third visitor to the shop purchased the box and 1500 visitors were there on Sunday.

• (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

Show Answer

Answer & Solution Answer: Option E Solution: From II, we can conclude that (1500 * 3) = 500 boxes were sold on Sunday. Thus, from I, we find that number of boxes sold on Monday = 500 + 10% of 500 = 550.