gokhalemodel papers doubts

[k]

Q1)The distance from city A to city B is 150 km, from city A to city C, 90 km. Therefore, it is
necessarily true
a) The distance from B to C is 60 km c) Neither a nor b
b) Six times the distance from city A to
B equals ten times the distance from
A to C
d) Both a and b are true

[k]

Q2)Four Indian and three American students have to stand in a row for a photograph. If they
choose their position at a random. What is the probability that Americans are at extremes.
a) 1/7
c) 2/7
b) 4/35 d) 2/9
Q3. Five Men and three women are to sit around a circular table. If they chose their positions at a
random. What is the probability that no two women are adjacent?
a) 1/7 c) 2/7
b) 1/9 d) 2/9

[Masterpiece]

CONTENTS DELETED

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[Xiang]

2/7 for q3

both b and c for q1

[Xiang]

I MEAN  a and b for q1 XD

[Target MA]

option b
because distance between b to c could also be 240

[Xiang]

@target, cant c lie between A and B ?

[Target MA]

1/7 for q2

[Target MA]

ya it can but thats one case ...
other case can be C--A--B which gives the distance between c and b to be 240..
so we cant say with surity that distance b/w B and C is 60

[k]

Assume that a die is rolled twice in succession and that you are asked to draw the probability
tree showing all possible outcomes of the two rolls. How many branches will your tree have?
a) 6 c) 42
b) 12 d) 36
 
plz help..

[Sinistral]

c) 42

[Target MA]

plzz explain..

[Ayushya Kaul]

@Sinistral: Could you explain your answer?

[Sinistral]

See the image on the right.
The 6 red branches depict the outcomes of the first roll.
The 6 green branches depict the outcome of the 2nd roll, for each of the outcome of the first roll.
Draw such "6 green branches"for 3,4,5,6 (outcomes of first roll) as well.
count all the green and red branches.

[Ayushya Kaul]

Thanks a ton mate :)

[rb.]

can some one please tell me what the expected cut off is? :(
its a request!please.