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

Instructions
In these questions, relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusions based on the given statements and select the appropriate answer. Give answer:
a: If only conclusion I is true
b: If either conclusion I or II is true
c: If only conclusion II is true
d: If neither conclusion I nor II is true
e: If both conclusions I and II are true
Q1: Statements : J > U ≥ M > P; U ≤ N > R
Conclusion :
I. M ≤ N
II. J > R
(a) If only conclusion I is true 
(b) If either conclusion I or II is true 
(c) If only conclusion II is true 
(d) If neither conclusion I nor II is true 
(e) If both conclusions I and II are true
Ans: (a)
Sol: (I) M ≤ N : We know that M ≤ U ≤ N. Hence, we can say that M is less than or equal to N. Conclusion I follows.
(II) J > R : We know that J > U ≤ N > R. Here the relationship between U and N cannot be made and hence the relationship between J and R cannot be made. Hence, conclusion II does not follow.
Hence, option A is the correct answer.

Instructions
In these questions, a relationship between different elements is shown in the statements. The statements are followed by two conclusions. Give answer:
a: If only conclusion I is true
b: If only conclusion II is true
c: If either conclusion I or II is true
d: If neither conclusion I nor II is true
e: If both conclusions I and II are true
Q2: Statements : A>B>C<D, C= E>G
Conclusions:
I. D > E
II. B > E
(a) If only conclusion I is true
(b) If only conclusion II is true
(c) If either conclusion I or II is true
(d) If neither conclusion I nor II is true
(e) If both conclusions I and II are true
Ans: (e)
Sol: 1) D > E : D is greater than C and C is equal to E. Hence, conclusion I follows
2) B > E : B is greater than C and C is equal to E. Hence, Conclusion II follows.
Hence, option e is the correct answer.

Instructions
In these questions, relationship between different elements is shown in the statements. The statements are followed by two conclusions. Study the conclusions based on the given statements and select the appropriate answer.
Give answer:
a: If either conclusion I or II is true
b: If both conclusions I and II are true
c: If only conclusion I is true
d: If only conclusion II is true
e: If neither conclusion I nor II is true
Q3: Statements :
C < O ≤ Z ≥ Y ; N > Z < M
Conclusions:
I. C < N
II. O > M
(a) If either conclusion I or II is true
(b) If both conclusions I and II are true
(c) If only conclusion I is true
(d) If only conclusion II is true
(e) If neither conclusion I nor II is true
Ans: (c)
Sol: C is less than Z and N is greater than Z. Therefore, C is definitely less than Z. Conclusion I is true.
M is greater than Z. Z is greater than or equal to O. Therefore, M is definitely greater than O. Conclusion II states that M is less than O. Therefore, conclusion II is definitely false.
Only conclusion I is true. Therefore, option C is the correct answer.

Instructions
In these questions, relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusions based on the given statements and select the appropriate answer.
Give answer:
a: Both conclusions I and II are true
b: Only conclusion I is true
c: Neither conclusion I nor II is true
d: Only conclusion II is true
e: Either conclusion II or conclusion is true
Q4: Statements: S < M< I < T; R ≥ J > I
Conclusions:
I. R = S
II. S < R
(a) Both conclusions I and II are true
(b) Only conclusion I is true
(c) Neither conclusion I nor II is true
(d) Only conclusion II is true
(e) Either conclusion II or conclusion is true
Ans: (d)
Sol: R is definitely greater than I. S is definitely less than I.
Therefore, S is less than R.
Only conclusion II is true. Therefore, option D is the right answer.

Instructions
In these questions, relationship between different elements is shown in the statements. The statements are followed by two conclusions. Study the conclusions based on the given statements and select the appropriate answer.
Give answer:
a: If either conclusion I or II is true
b: If both conclusions I and II are true
c: If only conclusion I is true
d: If only conclusion II is true
e: If neither conclusion I nor II is true
Q5: Statements :
T > I ≥ L > E ; I ≤ N< B ; N ≥ S > D
Conclusions:
I. S ≤ I
II. L > D
(a) If either conclusion I or II is true 
(b) If both conclusions I and II are true 
(c) If only conclusion I is true 
(d) If only conclusion II is true 
(e) If neither conclusion I nor II is true
Ans: (e)
Sol: We cannot get any direct relationship between S and I or L and D. Hence, neither of the two conclusions follows.

Instructions
In these questions, relationship between different elements is shown in the statements. The statements are followed by two conclusions. Study the conclusions based on the statement and select the appropriate answer. Give answer :
a: If either conclusion I or II is true
b: If both conclusions I and II are true
c: If only conclusion I is true
d: If only conclusion II is true
e: If neither conclusion I nor II is true
Q6: Statements :I > A ≥ N ≥ T;
C ≤ I ≤ E
Conclusions:
I. A ≤ E
II. I ≥ N
(a) If either conclusion I or II is true
(b) If both conclusions I and II are true
(c) If only conclusion I is true
(d) If only conclusion II is true
(e) If neither conclusion I nor II is true
Ans: (e)
Sol: Consider the given statements:
I > A ≥ N ≥ T; C ≤ I ≤ E
I is greater than A and E is greater than or equal to I. Hence, E is definitely greater than A. Hence, I is not definitely true. II is also not defnitely not true. Hence, option E is the correct answer.

Instructions
In each of the following questions, relationship between the different elements is shown in the statements. The statements are followed by two Conclusions numbered I and II. Study the Conclusions based on the given statements and mark the appropriate answer:
Give answer a: if both the Conclusion I and Conclusion II are true
Give answer b: if either Conclusion I or Conclusion II is true
Give answer c: if neither Conclusion I nor Conclusion II is true
Give answer d: if only Conclusion I is true
Give answer e: if only Conclusion II is true
Q7: Statements
B < L < A = M > E ≥ S;
L > W > J
Conclusions :
I. J < M
II. J = M
(a) if both the Conclusion I and Conclusion II are true
(b) if either ConclUsion I or Conclusion II is true
(c) if neither Conclusion I nor Conclusion II is true
(d) if only Conclusion I is true
(e) if only Conclusion II is true
Ans: (d)
Sol: From the given statements,
L > J and M > L. Hence, we can conclude that M > J. Only I is true.
Hence, option D is the correct answer.

Q8: Statements:
C<R<E<A=M
Y>E
Conclusions:
I. C =Y
II. C < Y
(a) if both the Conclusion I and Conclusion II are true
(b) if either ConclUsion I or Conclusion II is true
(c) if neither Conclusion I nor Conclusion II is true
(d) if only Conclusion I is true
(e) if only Conclusion II is true
Ans: (e)
Sol: We see that C < E and E < Y. Thus,  C < Y. Thus conclusion II follows.

Q9: Statements
C<R<E<A=M;Y>E
Conclusions :
I.  M > R
II. Y > A
(a) if both the Conclusion I and Conclusion II are true
(b) if either ConclUsion I or Conclusion II is true
(c) if neither Conclusion I nor Conclusion II is true
(d) if only Conclusion I is true
(e) if only Conclusion II is true
Ans: (d)
Sol: C<R<E<A=M;Y>E
From this statement, we can see that M is greater than R. Hence, conclusion I is true.
Now Y > E and A > E. Hence, we cannot compare A and Y. Thus, II is not valid.

Instructions
In each of the following questions relationship between different elements is shown in the statements. The statements are followed by two Conclusions numbered I and II. Study the Conclusions based on the given statements and select the appropriate answer.
a: if only Conclusion II is true
b: if only Conclusion I is true
c: if both the Conclusion I and Conclusion II are true
d: if either Conclusion I or Conclusion II is true
e: if neither Conclusion I nor Conclusion II is true
Q10: Statements:
A > B > C ≤ D ≤ E < F
Conclusions :
I. A> E
II. C < F
(a) if only Conclusion II is true
(b) if only Conclusion I is true
(c) if both the Conclusion I and Conclusion II are true
(d) if either Conclusion I or Conclusion II is true
(e) if neither Conclusion I nor Conclusion II is true
Ans: (a)
Sol: Given statement is A>B>C≤ D ≤ E < F
Thus, we can say that A>B>C and F>E ≥ D ≥ C
Thus we cannot find relation between A and E. Hence I is not true.
We can definitely say that F>C. Hence II is true.
Hence, option A is the right choice.