Hello and welcome to exampundit. Here is a set of Reasoning Quiz for IBPS Clerk Prelims 2018 on Inequalities.
The following reasoning quiz has 11 questions from Inequalities with 10 minutes.
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The following set of quiz is created as per the standards of upcoming IBPS Clerk Prelims exam 2018.
Quiz Name: Reasoning Quiz for Bank Clerk Prelims Exam
Time: 10 Minutes
Difficulty Level: Moderate
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Question 1 of 11
1. Question
Directions (Qs.1-5): In the following questions, the symbols @, #, $, * and % are used as illustrated below:
‘P @ Q’ means ‘P is not smaller than Q’.
‘P # Q’ means ‘P is neither greater than nor equal to Q’.
‘P $ Q’ means ‘P is neither smaller than nor greater than Q’.
‘P * Q’ means ‘P is not greater than Q’.
‘P % Q’ means ‘P is neither smaller than nor equal to Q’.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true? 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.
Question:
Statements:
M $ K, D * K, R # K
Conclusions:
(I) D $ M
(II) M % D
Correct
M = K .…. (i);
D ≤ K ….. (ii);
R < K ..… (iii)
From (i) and (ii), we get
M = K ≥ D –> M ≥ D
Hence, either M > D (conclusion II) or M = D(conclusion I) is true
Incorrect
M = K .…. (i);
D ≤ K ….. (ii);
R < K ..… (iii)
From (i) and (ii), we get
M = K ≥ D –> M ≥ D
Hence, either M > D (conclusion II) or M = D(conclusion I) is true
Question 2 of 11
2. Question
Directions (Qs.1-5): In the following questions, the symbols @, #, $, * and % are used as illustrated below:
‘P @ Q’ means ‘P is not smaller than Q’.
‘P # Q’ means ‘P is neither greater than nor equal to Q’.
‘P $ Q’ means ‘P is neither smaller than nor greater than Q’.
‘P * Q’ means ‘P is not greater than Q’.
‘P % Q’ means ‘P is neither smaller than nor equal to Q’.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true? 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.
Question:
Statements:
F * M, M % R, E @ F
Conclusions:
(I) M % E
(II) R @ E
Correct
F ≤ M… (i); M > R… (ii); E ≥ F… (iii)
From (i) and (iii), no specific relation can be obtained between M and E. Similarly, no specific relation can be obtained between R and E.
Incorrect
F ≤ M… (i); M > R… (ii); E ≥ F… (iii)
From (i) and (iii), no specific relation can be obtained between M and E. Similarly, no specific relation can be obtained between R and E.
Question 3 of 11
3. Question
Directions (Qs.1-5): In the following questions, the symbols @, #, $, * and % are used as illustrated below:
‘P @ Q’ means ‘P is not smaller than Q’.
‘P # Q’ means ‘P is neither greater than nor equal to Q’.
‘P $ Q’ means ‘P is neither smaller than nor greater than Q’.
‘P * Q’ means ‘P is not greater than Q’.
‘P % Q’ means ‘P is neither smaller than nor equal to Q’.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true? 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.
Question:
Statements:
H $ K, T # H, W * T
Conclusions:
(I) K % W
(II) T # K
Correct
H = K… (i); T < H…(ii),
W≤T …(iii)
From (i), (ii) and (iii), we get
K = H > T ≥ W –> K > W (conclusion I) and
T < K (conclusion II).
Incorrect
H = K… (i); T < H…(ii),
W≤T …(iii)
From (i), (ii) and (iii), we get
K = H > T ≥ W –> K > W (conclusion I) and
T < K (conclusion II).
Question 4 of 11
4. Question
Directions (Qs.1-5): In the following questions, the symbols @, #, $, * and % are used as illustrated below:
‘P @ Q’ means ‘P is not smaller than Q’.
‘P # Q’ means ‘P is neither greater than nor equal to Q’.
‘P $ Q’ means ‘P is neither smaller than nor greater than Q’.
‘P * Q’ means ‘P is not greater than Q’.
‘P % Q’ means ‘P is neither smaller than nor equal to Q’.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true? 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.
Question:
Statements:
N % A, A # L, F $ N
Conclusions:
(I) L % F
(II) F % A
Correct
N > A… (i), A < L… (ii), F = N…(iii)
From (i) and (iii), we get
F = N > A–> F > A (conclusion II). But no specific relation can be obtained between L and F. Hence, conclusion I is not necessarily true.
Incorrect
N > A… (i), A < L… (ii), F = N…(iii)
From (i) and (iii), we get
F = N > A–> F > A (conclusion II). But no specific relation can be obtained between L and F. Hence, conclusion I is not necessarily true.
Question 5 of 11
5. Question
Directions (Qs.1-5): In the following questions, the symbols @, #, $, * and % are used as illustrated below:
‘P @ Q’ means ‘P is not smaller than Q’.
‘P # Q’ means ‘P is neither greater than nor equal to Q’.
‘P $ Q’ means ‘P is neither smaller than nor greater than Q’.
‘P * Q’ means ‘P is not greater than Q’.
‘P % Q’ means ‘P is neither smaller than nor equal to Q’.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true? 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.
Question:
Statements:
B * D, D $ M, F % M
Conclusions:
(I) B # M
(II) F % B
Correct
B < D…(i); D = M…(ii);
F > M …(iii)
From (i), (ii) and (iii), we get
F > M = D > B –> B < M and F > B (conclusion II).
Since, B < M, therefore, conclusion I is not necessarily true.
Incorrect
B < D…(i); D = M…(ii);
F > M …(iii)
From (i), (ii) and (iii), we get
F > M = D > B –> B < M and F > B (conclusion II).
Since, B < M, therefore, conclusion I is not necessarily true.
Question 6 of 11
6. Question
Directions (Qs. 6-11): In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:
P + Q means P is neither smaller nor greater than Q.
P × Q’means P is neither equal to nor smaller than Q.
P ? Q means P is neither greater than nor equal to Q.
P @ Q means P is either greater than or equal to Q.
P $ Q means P is not equal to Q.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Give answer
(a) if only conclusion I is true;
(b) if only conclusion II is true;
(c) if either I or II is true:
(d) if neither I nor II is true; and
(e) if both I and II are true.
Question:
Statement:
P $ Q, Q × R, P + R
Conclusions:
(I) Q × P
(II) P ? Q
Correct
P ≠ Q …(i), Q > R … (ii), P = R …(iii)
From (ii) and (iii), we get Q > R = P –> Q > P. Hence,
Both I and II are true.
Incorrect
P ≠ Q …(i), Q > R … (ii), P = R …(iii)
From (ii) and (iii), we get Q > R = P –> Q > P. Hence,
Both I and II are true.
Question 7 of 11
7. Question
Directions (Qs. 6-11): In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:
P + Q means P is neither smaller nor greater than Q.
P × Q’means P is neither equal to nor smaller than Q.
P ? Q means P is neither greater than nor equal to Q.
P @ Q means P is either greater than or equal to Q.
P $ Q means P is not equal to Q.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Give answer
(a) if only conclusion I is true;
(b) if only conclusion II is true;
(c) if either I or II is true:
(d) if neither I nor II is true; and
(e) if both I and II are true.
Question:
Statement:
A + B, B $ C, C ? A
Conclusions:
(I) C $ A
(II) B + C
Correct
A = B … (i), B≤ C … (ii), C < A … (iii) From (iii), conclusion I is true. II contradicts statement (ii), hence, it is not true.
Incorrect
A = B … (i), B≤ C … (ii), C < A … (iii) From (iii), conclusion I is true. II contradicts statement (ii), hence, it is not true.
Question 8 of 11
8. Question
Directions (Qs. 6-11): In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:
P + Q means P is neither smaller nor greater than Q.
P × Q’means P is neither equal to nor smaller than Q.
P ? Q means P is neither greater than nor equal to Q.
P @ Q means P is either greater than or equal to Q.
P $ Q means P is not equal to Q.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Give answer
(a) if only conclusion I is true;
(b) if only conclusion II is true;
(c) if either I or II is true:
(d) if neither I nor II is true; and
(e) if both I and II are true.
Question:
Statement:
Y @ Z, Z × Q, Q $ P
Conclusions:
(I) Y ? Q
(II) Y ? P
Correct
Y≥ Z …(i), Z > Q … (ii), Q ÷ P …(iii)
From (i) and (ii), we get Y > Z > Q –> Y > Q … (A)
Hence, I is not true. From (iii), two possible relationships between P and Q are;
Case I: When P > Q
Now, using (A), we get Y > Q < P –> no conclusion.
Case II: When Q > P
using (A), we get Y > Q > P –> Y > P. Hence, II is not true.
Incorrect
Y≥ Z …(i), Z > Q … (ii), Q ÷ P …(iii)
From (i) and (ii), we get Y > Z > Q –> Y > Q … (A)
Hence, I is not true. From (iii), two possible relationships between P and Q are;
Case I: When P > Q
Now, using (A), we get Y > Q < P –> no conclusion.
Case II: When Q > P
using (A), we get Y > Q > P –> Y > P. Hence, II is not true.
Question 9 of 11
9. Question
Directions (Qs. 6-11): In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:
P + Q means P is neither smaller nor greater than Q.
P × Q’means P is neither equal to nor smaller than Q.
P ? Q means P is neither greater than nor equal to Q.
P @ Q means P is either greater than or equal to Q.
P $ Q means P is not equal to Q.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Give answer
(a) if only conclusion I is true;
(b) if only conclusion II is true;
(c) if either I or II is true:
(d) if neither I nor II is true; and
(e) if both I and II are true.
Question:
Statement:
E × F, F @ L, L+ N
Conclusions:
(I) N + F
(II) E × L
Correct
E > F …. (i), F > L … (ii), L = N …(iii)
From (ii) and (iii), we get F≥ L= N –> F≥ N or N′ F.
Hence, I may be true but not necessarily so.
From (i) and (ii), we get E > F > L –> E > L
Hence, II is true.
Incorrect
E > F …. (i), F > L … (ii), L = N …(iii)
From (ii) and (iii), we get F≥ L= N –> F≥ N or N′ F.
Hence, I may be true but not necessarily so.
From (i) and (ii), we get E > F > L –> E > L
Hence, II is true.
Question 10 of 11
10. Question
Directions (Qs. 6-11): In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:
P + Q means P is neither smaller nor greater than Q.
P × Q’means P is neither equal to nor smaller than Q.
P ? Q means P is neither greater than nor equal to Q.
P @ Q means P is either greater than or equal to Q.
P $ Q means P is not equal to Q.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Give answer
(a) if only conclusion I is true;
(b) if only conclusion II is true;
(c) if either I or II is true:
(d) if neither I nor II is true; and
(e) if both I and II are true.
Question:
Statement:
H @ J. J ? K, K × M
Conclusions:
(I) H @ M
(II) M × J
Correct
H ≥ J … (i), J < K … (ii), K > M … (iii)
From (ii) and (iii), we get J < K > M fi no relationship between J and M can be established. Hence, II can’t be established. Again, combining all we can’t conclude the relationship between H and M. Hence, I is not true.
Incorrect
H ≥ J … (i), J < K … (ii), K > M … (iii)
From (ii) and (iii), we get J < K > M fi no relationship between J and M can be established. Hence, II can’t be established. Again, combining all we can’t conclude the relationship between H and M. Hence, I is not true.
Question 11 of 11
11. Question
Directions (Qs. 6-11): In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:
P + Q means P is neither smaller nor greater than Q.
P × Q’means P is neither equal to nor smaller than Q.
P ? Q means P is neither greater than nor equal to Q.
P @ Q means P is either greater than or equal to Q.
P $ Q means P is not equal to Q.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Give answer
(a) if only conclusion I is true;
(b) if only conclusion II is true;
(c) if either I or II is true:
(d) if neither I nor II is true; and
(e) if both I and II are true.
Question:
Statement:
M @ T, T + V, V ? E
Conclusions:
(I) V + M
(II) V ? M
Correct
M ≥ T … (i), T = V …. (ii), V < E …(iii)
From (i) and (ii), we get
M ≥ T = Vfi M ≥ V –> ei–>er V = M or V < M is true.
Incorrect
M ≥ T … (i), T = V …. (ii), V < E …(iii)
From (i) and (ii), we get
M ≥ T = Vfi M ≥ V –> ei–>er V = M or V < M is true.
Directions (Qs.1-5): In the following questions, the symbols @, #, $, * and % are used as illustrated below:
‘P @ Q’ means ‘P is not smaller than Q’.
‘P # Q’ means ‘P is neither greater than nor equal to Q’.
‘P $ Q’ means ‘P is neither smaller than nor greater than Q’.
‘P * Q’ means ‘P is not greater than Q’.
‘P % Q’ means ‘P is neither smaller than nor equal to Q’.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true? 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.
Statements:
M $ K, D * K, R # K
Conclusions:
(I) D $ M
(II) M % D
Show Solution
(c) M = K .…. (i);
D ≤ K ….. (ii);
R < K ..… (iii)
From (i) and (ii), we get
M = K ≥ D –> M ≥ D
Hence, either M > D (conclusion II) or M = D(conclusion I) is true
Statements:
F * M, M % R, E @ F
Conclusions:
(I) M % E
(II) R @ E
Show Solution
(d) F ≤ M… (i); M > R… (ii); E ≥ F… (iii)
From (i) and (iii), no specific relation can be obtained between M and E. Similarly, no specific relation can be obtained between R and E.
Statements:
H $ K, T # H, W * T
Conclusions:
(I) K % W
(II) T # K
Show Solution
(e) H = K… (i); T < H…(ii),
W≤T …(iii)
From (i), (ii) and (iii), we get
K = H > T ≥ W –> K > W (conclusion I) and
T < K (conclusion II).
Statements:
N % A, A # L, F $ N
Conclusions:
(I) L % F
(II) F % A
Show Solution
(b) N > A… (i), A < L… (ii), F = N…(iii)
From (i) and (iii), we get
F = N > A–> F > A (conclusion II). But no specific relation can be obtained between L and F. Hence, conclusion I is not necessarily true.
Statements:
B * D, D $ M, F % M
Conclusions:
(I) B # M
(II) F % B
Show Solution
(b) B < D…(i); D = M…(ii);
F > M …(iii)
From (i), (ii) and (iii), we get
F > M = D > B –> B < M and F > B (conclusion II).
Since, B < M, therefore, conclusion I is not necessarily true.
Directions (Qs. 6-11): In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:
P + Q means P is neither smaller nor greater than Q.
P × Q’means P is neither equal to nor smaller than Q.
P ? Q means P is neither greater than nor equal to Q.
P @ Q means P is either greater than or equal to Q.
P $ Q means P is not equal to Q.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Give answer
(a) if only conclusion I is true;
(b) if only conclusion II is true;
(c) if either I or II is true:
(d) if neither I nor II is true; and
(e) if both I and II are true.
Statement:
P $ Q, Q × R, P + R
Conclusions:
(I) Q × P
(II) P ? Q
Show Solution
(e) P ≠ Q …(i), Q > R … (ii), P = R …(iii)
From (ii) and (iii), we get Q > R = P –> Q > P. Hence,
Both I and II are true.
Statement:
A + B, B $ C, C ? A
Conclusions:
(I) C $ A
(II) B + C
Show Solution
(a) A = B … (i), B≤ C … (ii), C < A … (iii) From (iii), conclusion I is true. II contradicts statement (ii), hence, it is not true.
Statement:
Y @ Z, Z × Q, Q $ P
Conclusions:
(I) Y ? Q
(II) Y ? P
Show Solution
(d) Y≥ Z …(i), Z > Q … (ii), Q ÷ P …(iii)
From (i) and (ii), we get Y > Z > Q –> Y > Q … (A)
Hence, I is not true. From (iii), two possible relationships between P and Q are;
Case I: When P > Q
Now, using (A), we get Y > Q < P –> no conclusion.
Case II: When Q > P
using (A), we get Y > Q > P –> Y > P. Hence, II is not true.
Statement:
E × F, F @ L, L+ N
Conclusions:
(I) N + F
(II) E × L
Show Solution
(b) E > F …. (i), F > L … (ii), L = N …(iii)
From (ii) and (iii), we get F≥ L= N –> F≥ N or N′ F.
Hence, I may be true but not necessarily so.
From (i) and (ii), we get E > F > L –> E > L
Hence, II is true.
Statement:
H @ J. J ? K, K × M
Conclusions:
(I) H @ M
(II) M × J
Show Solution
(d) H ≥ J … (i), J < K … (ii), K > M … (iii)
From (ii) and (iii), we get J < K > M fi no relationship
between J and M can be established. Hence, II can’t
be established. Again, combining all we can’t conclude
Thee relationship between H and M. Hence, I is not true.
Statement:
M @ T, T + V, V ? E
Conclusions:
(I) V + M
(II) V ? M
Show Solution
(c) M ≥ T … (i), T = V …. (ii), V < E …(iii)
From (i) and (ii), we get
M ≥ T = Vfi M ≥ V –> ei–>er V = M or V < M is true.
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