Jnu 2012 q-40

[Nikkita]

Please explain Q- 40 of JNU 2012. Weird is as follows:
3 trucks A,B,C are used for transporting what and rice. the following information is given:
(1) If A carried wheat, then B carried rice
(2) Is A carried rice, then C carried wheat
(3) Is B carried what, then C carried rice.
Which truck always carried the same thing?
(And: B) How??

[SM]

Hi Nikkita,

This will help :)

http://discussion-forum.2150183.n2.nabble.com/JNU-2012-Doubts-td7587480.html;cid=1462962077879-444#a7587515 

[Amit Goyal]

3 trucks A,B,C are used for transporting wheat and rice. the following information is given:
(I) If A carried wheat, then B carried rice
(II) Is A carried rice, then C carried wheat
(III) Is B carried wheat, then C carried rice.
Which truck always carried the same thing?

AW stands for truck A carried wheat, etc.
There are 8 cases we need to check.

1. AW, BW, CW --> Violates (I)
2. AW, BW, CR --> Violates (I)
3. AW, BR, CW --> PASS
4. AW, BR, CR --> PASS
5. AR, BW, CW --> Violates (III)
6. AR, BW, CR --> Violates (II)
7. AR, BR, CW --> PASS
8. AR, BR, CR --> Violates (II)

So, only three are possible:
AW, BR, CW
AW, BR, CR
AR, BR, CW

In all three, Truck B has always carried the same thing: Rice

[Nikkita]

Thankyou Sir and SM :)