Practice MCQ Questions and Answer on Data Sufficiency

31. Question :

Among A, B, C, D, E and F, who is the heaviest ?

Statements :
I. A and D are heavier than B, E and F but none of them is the heaviest.
II. A is heavier than D but lighter than C.

(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 since none of A and D is the heaviest and each one of B, E and F is lighter than both A and D, so C is the heaviest.

32. Question :

What is the numerical code for 'water' in a certain code ?

Statements :
I. The code for 'give me water' is '719'.
II. The code for 'you can bring water for me' is written as '574186'.

(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:

 In I and II, the common words are 'me' and 'water' and the common code numbers are '7' and '1'. So, the code for 'water' is either '7' or '1'.

33. Question :

Who is to the immediate right of P among five persons P, Q, R, S and T facing North ?

Statements :
I. R is third to the left of Q and P is second to the right of R.
II. Q is to the immediate left of T who is second to the right of P.

(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: R, -, P, Q. From II, we have the order: P, Q, T. Clearly, each one of the above two orders indicates that Q is to the immediate right of P.

34. Question :

The Chairman of a big company visits one department on Monday of every week except for the Monday of third week of every month. When did he visit the Purchase department ?

Statements :
I. He visited Accounts department in the second week of September after having visited Purchase department on the earlier occasion.
II. He had visited Purchase department immediately after visiting Stores department but before visiting Accounts department.

(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 can conclude that the Chairman visited Purchase department on Monday of the first week of September. The time of visit of no department is mentioned in II, which is, therefore, insufficient.

35. 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.

36. Question :

In a certain code, '13' means 'stop smoking' and '59' means 'injurious habit'. What do '9' and '5' mean respectively in that code ?

Statements :
I. '157' means 'stop bad habit'.
II. '839' means 'smoking is injurious'.

(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:

 '59' means 'injurious habit' and '157' means 'stop bad habit' (from I). Thus, the common code number '5' stands for common word 'habit'. So, '9' represents 'injurious'. Hence, I is sufficient. Also, '59' means 'injurious habit' and '839' means 'smoking is injurious'. Thus, the common code number '9' stands for common word 'injurious'. So, '5' represents 'habit'. Thus, II is also sufficient.,

37. Question :

What will be the total weight of 10 poles, each of the same weight ?

Statements :
I. One-fourth of the weight of each pole is 5 kg.
II. The total weight of three poles is 20 kilograms more than the total weight of two poles.

(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 weight of each pole = (4x5) kg = 20 kg. So, total weight of 10 poles = (20 x 10) kg = 200 kg. From II, we conclude that: Weight of each pole = (weight of 3 poles) - (weight of 2 poles) = 20 kg. So, total weight of 10 pojes = (20 x 10) kg = 200 kg.

38. Question :

B is the brother of A. How is A related to B ?

Statements :
I. A is the sister of C.
II. E is the husband of A.

(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:

 B is A's brother means A is either brother or sister of B. Now, each one of I and II individually indicates that A is a female, which means that A is B's sister.

39. Question :

Among Monika, Anita, Sonal, Ratna and Tanvy, who came last for the programme ?

Statements :
I. Monika came after Anita but not after Tanvy.
II. Ratna came after Tanvy but not after Sonal.

(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 the order : A, M, T. From II, we have the order: T, R, S. Combining the above two, we get the order: A, M, T, R, S. Thus, Sonal came last for the programme.

40. Question :

How is 'DATE' written in the code language ?

Statements :
I. DEAR is written as $#@? in that code.
II. TREAT is written as %?#@% in that code.
III. TEAR is written as %#@? in that code.

(A) Only I and II
(B) Only II and III
(C) All I, II and III
(D) Only I and either II or III

Solution:

 Observing I, II and III, we find that similar letters have similar code symbols at the corresponding places in the code. So, this is direct-coding. Thus, to find the code for DATE, we need the code for D which can be obtained from I only (i.e. $.) and the codes for A, T and E which can be obtained either from II or III (@, # and % respectively).

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Practice MCQ Questions and Answer on Data Sufficiency

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