In the ranking of a competitive examination Vishal was above Vijay but below Shyam. Mohan was above Shyam but below Rohan. Vijay was between Vishal and Ashok. Who is third from the top ?
Shyam
Take each clue and write it as a chain, using "above" to mean nearer the top of the ranking.
"Vishal was above Vijay but below Shyam" gives Shyam > Vishal > Vijay.
"Mohan was above Shyam but below Rohan" gives Rohan > Mohan > Shyam. Since Shyam appears in both chains, they join at Shyam to give Rohan > Mohan > Shyam > Vishal > Vijay.
"Vijay was between Vishal and Ashok" places Ashok on the far side of Vijay from Vishal. Vishal is already above Vijay, so Ashok must be below him, giving Vishal > Vijay > Ashok.
Combining all three, the full order from top to bottom is Rohan, Mohan, Shyam, Vishal, Vijay, Ashok.
Counting down from the top, Rohan is first, Mohan is second and Shyam is third.
Hence the person third from the top is Shyam.
Ragini facing East walks 10 meter, then she turns to her left and walks 12 meter. Then she turns to her right in $45^o$ and walks 15 meter. Then, how much distance she has walked from the starting point and which direction is she facing now ?
In the Wason selection task for propositional reasoning, ‘participants develop a general idea of the rule, then construct examples that follow the rule’ is referred to as :
Match List–I with List–II and give your answer using the codes given below :
| List I (Logical Rule) | List II (Logical Relation) |
|---|---|
| (P) Conjunctive rule | (1) AND |
| (Q) Disjunctive rule | (2) If and only if, THEN |
| (R) Conditional rule | (3) IF..............THEN |
| (S) Biconditional rule | (4) OR |
Codes :
(P) (Q) (R) (S)
Which of the following is not the characteristics of an effective decision procedure ?
Characteristics of an Axiomatic systems are ................. .
(1) Consistency
(2) Completeness
(3) Independence
(4) Contingent
Correct symbolization of the following proposition is — “All successful politicians and orators are hard-working”.
Law of contradiction states that :
Match List I and List II and select the correct answer from the codes given below :
| List I | List II |
|---|---|
| (a) ~ (p ∨ ~ p) | (1) Identity |
| (b) ~ (p • ~ p) | (2) Contingency |
| (c) ~ (p ⊃ q) | (3) Tautology |
| (d) p ⊃ p | (4) Contradiction |
Codes :
(a) (b) (c) (d)
“Sudhir had not locked the gates yesterday. Either the watchman or Sudhir locks the gates. Therefore, the watchman must have locked the gates yesterday”. This argument is ..................... .
If the statement ‘p’ is true and the statement ‘q’ is false, the truth value of the statements ‘p ≡ ~ q’ and ‘~ q ⊃ ~ p’ are :
Ragini facing East walks 10 meter, then she turns to her left and walks 12 meter. Then she turns to her right in $45^o$ and walks 15 meter. Then, how much distance she has walked from the starting point and which direction is she facing now ?
In the Wason selection task for propositional reasoning, ‘participants develop a general idea of the rule, then construct examples that follow the rule’ is referred to as :
Match List–I with List–II and give your answer using the codes given below :
| List I (Logical Rule) | List II (Logical Relation) |
|---|---|
| (P) Conjunctive rule | (1) AND |
| (Q) Disjunctive rule | (2) If and only if, THEN |
| (R) Conditional rule | (3) IF..............THEN |
| (S) Biconditional rule | (4) OR |
Codes :
(P) (Q) (R) (S)
Which of the following is not the characteristics of an effective decision procedure ?
Characteristics of an Axiomatic systems are ................. .
(1) Consistency
(2) Completeness
(3) Independence
(4) Contingent