Practice Questions for Data Sufficiency | Logical Reasoning (LR) and Data Interpretation (DI) - CAT PDF Download

Directions: In each of the following questions, a few statements have been given. Analyse the given statements and answer whether the data given in the statements are sufficient to answer the question or not.

Q1: Six Professors have been assigned to take up lectures in a week, starting from Monday till Saturday. The six Professors are Mandeep, Nitin, Ondrilla, Pankhuri, Yukti and Rati. How many Professors conduct lectures before Ondrilla?
Statement I: Pankhuri conducts her lecture at least before three people. Mandeep gave the lecture conducted on Philosophy on Tuesday.
Statement II: Yukti is given the lecture before at least one of the other lecturers. Ondrilla conducted her Physics lecture immediately on the next day as Pankhuri’s lecture.
Statement III: A minimum of four lectures were conducted after Nitin’s lecture.
(a) If data in Statement I alone is sufficient
(b) If data in all Statement I, II & III is sufficient
(c) If data in only Statement II & III is sufficient
(d) If data in only Statement III is sufficient
(e) If data in only Statement I & II is sufficient
Ans: (e)
Sol: Based on the given statements,

And 3 people shall conduct lectures before Ondrilla can be known by Statements I & II only

Q2: Who is the wife of Z?
Statement I: H is the only daughter of X. K is the paternal uncle of H.
Statement II: K is the brother-in-law of X
Statement III: K and Z are brothers
(a) If statement I, II & III together are sufficient
(b) If only statement II & III are sufficient
(c) If only statement I is sufficient
(d) If only statement I & II are sufficient
(e) None of the above
Ans: (a)
Sol:

Where, + denotes male, - denotes female, ∼ denotes couple, ↔ denotes siblings, ↕ denotes children

Q3: What is the code for ‘sky’ in the code language?
Statement I: In the code language, ‘get set jet’ means ‘kite flying sky’.
Statement II: In the same code language, ‘jet ket pet’ means ‘sky is blue’.
(a) If statement I alone is sufficient
(b) If statement II alone is sufficient
(c) If statement I and II together are sufficient
(d) If neither statement I nor II is sufficient
(e) If either statement I or II is sufficient
Ans: (c)
Sol: The only work common in both the sentences is “sky” and the only common code is “jet”. So both the statements are required to answer the question

Q4: What will be the code for “big”?
Statement I: In a certain code language, “butterfly is beautiful” is written as “es je ik”
Statement II: In the same code language, “box is big” is written as “ik ej ze” and “blow the big balloon” is written as “ze ak xo il”
(a) I statement I alone is sufficient
(b) If both statements I and II are sufficient
(c) If neither statement I nor II is sufficient
(d) If either statement I or II is sufficient
(e) If only statement II is sufficient
Ans: (e)
Sol: The word “big” is a part of both the sentences in statement II and the only common word. So, the coded term for it can be fount only in statement II

Q5: Six friends Agrima, Barkha, Charu, Dhriti, Elina and Faiza are sitting around a circular table, facing the centre. Who sits exactly in between Charu and Dhriti?
Statement I: Barkha sits second to the left of Dhriti and only one person sits between Charu and Barkha
Statement II: Agrima sits to the immediate right of Barkha and there are two people sitting between Elina and Dhriti
(a) If statement I alone is sufficient
(b) If both statements I and II are sufficient
(c) If both statements I and II together are not sufficient
(d) If either statement I or II is sufficient
(e) If only statement II is sufficient
Ans: (b)
Sol: 

Q6: Out of five friends, A, B, C, D & E, which one is the heaviest?
Statement I: C is heavier than E and lighter than A. Only one person is heavier than B
Statement II:  Two people are heavier than A and E is the lightest. C is not the heaviest and only one person is heavier than B
(a) If statement I alone is sufficient
(b) If both statements I and II are sufficient
(c) If both statements I and II together are not sufficient
(d) If either statement I or II is sufficient
(e) If only statement II is sufficient
Ans: (d)
Sol: By solving either statement I or statement II, the heaviest person from the five friends can be found

Q7: What will be the code for “Rainbow”?
Statement I: “Sky has rainbow” is coded as “@ # *”
Statement II: “rainbow has seven colours” is coded as “# @ + ?”
Statement III: “blue is one colour of rainbow” is coded as “@ $ & < ^”
(a) Only statement I is sufficient
(b) Only statement II is sufficient
(c) Only statement III is sufficient
(d) All statements I, II & III are sufficient
(e) None of the above
Ans: (d)
Sol: Only “rainbow” is common in all three sentences and the only common code is “@”

Q8: 5 friends – Ankita, Anita, Arpita, Arunima and Amita are sitting around a circular table, facing outside the circle. Who sits on the immediate right of Arpita?
Statement I: Arpita sits in between Anita and Arunima
Statement II: Only one person is sitting between Arunima and Ankita
(a) If statement I alone is sufficient
(b) If both statements I and II are sufficient
(c) If both statements I and II together are not sufficient
(d) If either statement I or II is sufficient
(e) If only statement II is sufficient
Ans: (c)
Sol: Two images can be formed based on the information given and in both cases, the person on Arpita’s immediate right is different.

Q9: There are six people in a family, 2 couples and 2 children. How is Z related to M?
Statement I: Y is the only sister of A and A is married to C
Statement II: M is the only niece of C
Statement III: N is the cousin of M
(a) If only statement III is sufficient
(b) If both statements I and II are sufficient
(c) If both statements I and III are sufficient
(d) If all the three statements I, II & III are sufficient
(e) If all statement I, II & III together are also not sufficient
Ans: (d)
Sol:

Where, + denotes male, - denotes female, ∼ denotes couple, ↔ denotes siblings, ↕ denotes children

Q10: What will be the code for “pen”?
Statement I: “pen is of black colour” is coded as “es kj lk mn ok” and “black colour bird” is coded as “zx kj ok”
Statement II: “bird sings beautifully” is coded as “zx cv nb”
(a) Both statements I and II together are sufficient
(b) Only statement I is sufficient
(c) Only statement II is sufficient
(d) Neither statement I nor II is sufficient
(e) Either statement I or II is sufficient
Ans: (d)
Sol: After decoding the three sentences, the code for “pen” cannot be determined

Q11: 6 people are sitting in a straight line: O, M, G, J, X and Y. Who is sitting second to the right of J?
Statement I: M is sitting at the right end of the line and G is to the immediate left of M. X is sitting third from the left end of the line and to the immediate left of J
Statement II: Y is sitting at the left end of the line and J is second to its right. G is on the immediate right of J and M is on the other end of the line
(a) Both statements I and II together are sufficient
(b) Only statement I is sufficient
(c) Only statement II is sufficient
(d) Neither statement I nor II is sufficient
(e) Either statement I or II is sufficient
Ans: (e)
Sol: Either we solve Statement I or statement II, the answer to the question can be found.

Q12: Who among the five friends viz. A, B, C, D & E is the tallest?
Statement I: B is only taller than D
Statement II: A is shorter than E but taller than C Statement II: B is not the shortest
(a) If statement II alone is sufficient
(b) If statement I & II together are sufficient
(c) If statement I, II & III together are not sufficient
(d) If statement I & III are sufficient
(e) None of the above
Ans: (b)
Sol: Based on Statement I, we get to know the shortest is D and the second shortest is B.
Based on Statement II, we get to know that E>A>C
Thus, E>A>C>B>D, which proves E is the tallest

Q13: How is M related to N?
Statement I: N’s sister F has married H’s brother G.
Statement II: M is the only daughter of G and F.
(a) If statement I alone is sufficient
(b) If statement II alone is sufficient
(c) If both statements I and II together are sufficient
(d) If either statement I or II is sufficient
(e) If neither statement I and II is sufficient
Ans: (c)
Sol: After solving both the statements,

Where, + denotes male, - denotes female, ∼ denotes couple, ↔ denotes siblings, ↕ denotes children

Q14: Who among Mukund, Karan, Ajay and Sanjay is the youngest?
Statement I: Mukund is elder than Karan. Sanjay is younger than Karan
Statement II: Ajay is younger than Karan and elder than Sanjay
(a) If only statement I is sufficient
(b) If both statements I and II are sufficient
(c) If only statement II is sufficient
(d) If neither statement I nor II is sufficient
(e) If either statement I or II is sufficient
Ans: (b)
Sol: From statement I and II together, it can be analysed that Mukund is the eldest

Directions: Each question given below has a problem and two statements numbered I and II giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer as:
Q15: What is Reena’s rank in the class?  
I. There are 26 students in the class.
II. There are 9 students who have scored less than Reena.
(а) if the data in statement I alone are sufficient to answer the question;
(b) the data in statement II alone are sufficient answer the question;
(c) if the data either in I or II alone are sufficient to answer the question;
(d) the data even in both the statements together are not sufficient to answer the question;
(e) if the data in both the statements together are needed.
Ans: (e)

Q16: Who is the father of M?
I. A and B are brothers.
II. B’s wife is the sister of M’s wife.
(а) if the data in statement I alone are sufficient to answer the question;
(b) the data in statement II alone are sufficient answer the question;
(c) if the data either in I or II alone are sufficient to answer the question;
(d) the data even in both the statements together are not sufficient to answer the question;
(e) if the data in both the statements together are needed.
Ans: (d)

Q17: What day is the fourteenth of a given month?
I. The last day of the month is a Wednesday.
II. The third Saturday of the month was seventeenth.
(а) if the data in statement I alone are sufficient to answer the question;
(b) the data in statement II alone are sufficient answer the question;
(c) if the data either in I or II alone are sufficient to answer the question;
(d) the data even in both the statements together are not sufficient to answer the question;
(e) if the data in both the statements together are needed.
Ans: (b)

Q18: Among four friends A. B, C and D, who is the heaviest?
I. B is heavier than A but lighter than D.
II. C is lighter than B.
(а) if the data in statement I alone are sufficient to answer the question;
(b) the data in statement II alone are sufficient answer the question;
(c) if the data either in I or II alone are sufficient to answer the question;
(d) the data even in both the statements together are not sufficient to answer the question;
(e) if the data in both the statements together are needed.
Ans: (e)

Q19: It is 8.00 p.m., when can Hemant get next bus for Ramnagar from Dhanpur?
I. Buses for Ramnagar leave after every 30 minutes, till 10 p.m.
II. Fifteen minutes ago, one bus has left for Ramnagar.
(а) if the data in statement I alone are sufficient to answer the question;
(b) the data in statement II alone are sufficient answer the question;
(c) if the data either in I or II alone are sufficient to answer the question;
(d) the data even in both the statements together are not sufficient to answer the question;
(e) if the data in both the statements together are needed.
Ans: (e)

Q20: In a certain code 413% means ‘stop smoking1 and ’59’ means ‘injurious habit’. What is the meaning of 49* and ‘5’ respectively in that code?
I. 4157′ means 4stop bad habit’.
II. 4839′ means ‘smoking is injurious’.
(а) if the data in statement I alone are sufficient to answer the question;
(b) the data in statement II alone are sufficient answer the question;
(c) if the data either in I or II alone are sufficient to answer the question;
(d) the data even in both the statements together are not sufficient to answer the question;
(e) if the data in both the statements together are needed.
Ans: (c)