Mathematical Operations problems
- 1. Statements: H S N, N % R, R @ J
Conclusions:I. R @ H II. J % H
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if only conclusion I is true
Explanation:
H ? N ....(i) N > R ....(ii) R < J ...(iii)
From (i) and (ii) R > H ...(iv)
Hence R < H and I follows
But J and H can't compared From (iii) and (iv)
Hence II does not follow.
- 2. Statement :
F ? T, T S M, M © R
Conclusion :
I. R S F II. M © F
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if only conclusion II is true
Explanation:
F = T ....(i) T ? M ....(ii) M ? R .....(iii)
From (i) and (ii) F ? M ....(iv)
Hence M ? F and II follows
But R and F can't be compared From (iii) and (iv)
Hence I does not follow
- 3. Statement :
W © D, D S B, B @ H
Conclusion :
I. H % D II. W @ B
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if neither conclusion I nor conclusion II is true
Explanation:
W ? D ....(i) D ? B .....(ii) B > H ... (iii)
H and D can't be compared from (ii) and (iii)
Hence; I does not follows
Nor can W and B he be compared From (i) and (ii).
Hence II does not follows
- 4. Statement :
F @ R, R © V, V S T
Conclusion :
I. V % F II. F @ T
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if only conclusion I is true
Explanation:
F < R ...(i) R ? V ....(ii) V ? T ....(iii)
From (i) and (ii) F < V ....(iv)
Hence F > V and I follows
But F and T can't be compared From (iii) and (iv)
Hence II does not follow
- 5. Statement :
N S T, T ? H, N @ W
Conclusion :
I. W % T II. H © N
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer:
Explanation:
N ? T ... (i) T = H ...(ii) N < w .....(iii)
Combining these we get W > N ? T = H
Hence W > T and I follows.
Also H ? N and II follows
- 6. Statements:
J @ K, K % M, M # T
Conclusions:
I. K % T II. K @ T
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if either conclusion I or conclusion II is true
Explanation:
J ? K ...(i) K < M ...(ii) M > T ...(iii)
K and T can't be compared From (ii) and (iii) but either I (K < T) or II, (K ? T) must be true.
- 7. Statements:
F # R, H % R, L * H
Conclusions:
I. F # L II. R @ L
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if only conclusion I is true
Explanation:
F > R ...(i) H < R ...(ii) L ? H ...(iii)
Combining these we get F > R > H ? L
Hence F > L and I follows
Also R > L and II (R ? L) does not follows.
- 8. Statements:
N @ W, W # H
Conclusions:
I. H % N II. T # W
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if only conclusion I is true
Explanation:
N ? W ...(i) W = H ...(ii) H < T ...(iii)
From (i) and (ii) W = N ? W > H or N > H ...(iv)
Hence H < N and I follows.
But T and W can't be compared from (ii) and (iii) Hence II does not follow.
- 9. Statements:
V * W, W S H, H @ I
Conclusions:
I. L * V II. L S D
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if only conclusion II is true
Explanation:
V ? W ...(i) W = H ...(ii) H ? I ...(iii)
From (i) and (ii) W = H ? I or W ? I ...(iv)
Hence I ? W and II follows But V and I can't be compared From (iii) and (iv)
Hence I does not follows.
- 10. Statements:
L * P, P % V, V # D
Conclusions:
I. L * V II. L S D
Options- A. if only conclusion I is true
- B. if only conclusion II is true
- C. if either conclusion I or conclusion II is true
- D. if neither conclusion I nor conclusion II is true Discuss
Correct Answer: if neither conclusion I nor conclusion II is true
Explanation:
L ? P.....(i) P < V ...(ii) V > D ...(iii)
Combining (i) and (ii)
we get L ? P < V or L < W ...(iv) L and D can't be compared
Hence II does not follows
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