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 ?
37 meter, North-East
The question has two parts, and each is settled separately.
Distance walked. The stem asks how much distance she has walked, so add the three legs of her journey: \(10 + 12 + 15 = 37\) metres. This is the total path length she covers on foot, not the straight-line gap between her start and finish.
Direction faced. Track the turns one at a time. She begins facing East. Turning to her left from East swings her a quarter turn anticlockwise, so she now faces North, and she covers 12 metres in that direction.
She then turns to her right through 45°, which is half a quarter turn clockwise from North. Half-way between North and East is North-East, and she walks the final 15 metres facing that way.
Hence she has walked 37 metres and is now facing North-East.
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 ?
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 :
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 ?
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