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anand yadav

· started a discussion

· 1 Months ago

solve (Question:408017.0)

this is not understand

Question:

DIRECTIONS: These questions are based on the following information.


Ten children A through J, among whom only A, B, C, D are girls, are to be divided into three group P, Q and R such that each group has a girl and a total of at least three children. We know the following additional information.

(i) If one of E, F and G is selected in group R, then the other two must be in that group.

(ii) If F is in the same group as C, then D must be in that group. Neither C nor D can be with I.

(iii) No two of G, H and I can be in the same group.

(iv) Unless J is selected in group P, A cannot be selected in group R.

(v) If and only if H is a member of group P then it has four children.

(vi) The number of children in group Q cannot be more than that in group R.

(vii) A and H must be in the same group.

If F is selected in Q, then who must be selected in R?

Options:
A)

C

B)

I

C)

A

D)

H

E)

None of these

Solution:

Ans: (b)

From (i), if one of C is selected in R, then we have the following possibility.

(a) 

P

Q

R

B, I, J

A, C, H

E, F, G, D

If H is selected in R, then R must have four children 

But none of E, F, G, I, J can be in R.

Also, I must be with B [∴From (ii)

∴ A, C, D, H must be in R, in which case one of P and Q don’t have any girls.

∴ Not possible.

If I is selected in R, then B must be in that team. If H is selected in group P, than we have the following possibilities.

-

P

Q

R

(b)

A, H, C, E

G, F, D

I, B, J

(c)

A, H, D, F

G, C, E

L ,B, J

(d) 

A, M, F, E

C, G, D

I, B, J 

If H is selected in group Q, then R must have four children. But none of C, D, E, F, H, A, G can be in R.

∴ This case is not possible.

It is possible only in Case (b).

Knowledge Expert

· commented

· 1 Months ago

Dear student,
Please be a little more specific and clear in your doubt.

Best wishes
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