NIMCET 2014 — Reasoning PYQ
NIMCET | Reasoning | 2014Which of the following is necessarily true?
Choose the correct answer:
- A.
E and B intersect
- B.
D is 2 km West of B
- C.
D is at least 2 km West of A
(Correct Answer) - D.
M is 1.5 km North of L
D is at least 2 km West of A
Explanation
Solution
1. Coordinate Mapping:
Let point A=(0,0).
Based on standard direction logic:
-
North=+y
-
South=−y
-
East=+x
-
West=−x
2. Verifying Option 3:
If the data indicates:
-
C is 1 km West of A→C=(−1,0)
-
D is 1 km West of C→D=(−2,0)
Distance d from A to D:
Since D is at x=−2, it is exactly 2 km West. The term "at least 2 km" covers any distance d≥2 km.
3. Necessary Truth Check:
-
Option 1: Requires E(x,y)=B(x,y).
-
Option 2: Requires xB−xD=2 and yB=yD.
-
Option 4: Requires xM=xL and yM−yL=1.5.
If the relative positions of D and A are fixed by the data regardless of other variables:
Correct Option: 3
Explanation
Solution
1. Coordinate Mapping:
Let point A=(0,0).
Based on standard direction logic:
-
North=+y
-
South=−y
-
East=+x
-
West=−x
2. Verifying Option 3:
If the data indicates:
-
C is 1 km West of A→C=(−1,0)
-
D is 1 km West of C→D=(−2,0)
Distance d from A to D:
Since D is at x=−2, it is exactly 2 km West. The term "at least 2 km" covers any distance d≥2 km.
3. Necessary Truth Check:
-
Option 1: Requires E(x,y)=B(x,y).
-
Option 2: Requires xB−xD=2 and yB=yD.
-
Option 4: Requires xM=xL and yM−yL=1.5.
If the relative positions of D and A are fixed by the data regardless of other variables:
Correct Option: 3
