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A family-size box of cereal contains more cereal and costs

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A family-size box of cereal contains more cereal and costs [#permalink]

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New post 29 Nov 2008, 03:13
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Hi Guys,

I am new to this forum. Will be nice to know you all. It is great to be associated with this one.

I have a few (not tough) ques.. Will be glad if I get help.

Q1:
A family-size box of cereal contains more cereal and costs more than the regular-size box of cereal. What is the cost per ounce of the family-size box of cereal?
(1) The family-size box of cereal contains 10 ounces more than the regular-size box of cereal.
(2) The family-size box of cereal costs $5.40.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Q2:
A gardener is going to plant 2 red rosebushes and 2 white rosebushes. If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?

A. 1/12
B. 1/6
C. 1/5
D. 1/3
E. 1/2

Thanks,
KoolD

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Re: Mixed Ques [#permalink]

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New post 29 Nov 2008, 03:37
Q1. E
st1) regular box: X ounces
family box: X+10 ounces but there is no info about the COST. Insuff.

st2) Family box costs 5.40 but there is no info about ounces. Insuff.

st1+2) X+10 ounces cost 5.40 but u can't calculate X. Insuff. E.

Q2. I guess B.
step1) 4 bushes. so there are 4!=24 arrangements.
step2) 2 reds (imagine them as a single bush)must be in the middle
1-and 2-White can stand in front or back: 2 options each.
so 2x1x2=4 arrangements.
step3) 4/24=1/6

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Re: Mixed Ques [#permalink]

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New post 29 Nov 2008, 04:21
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A-1 The family-size box of cereal contains 10 ounces more than the regular-size box of cereal.
Stmt (I) No information about the cost.
Insufficient.

Stmt (II)

The family-size box of cereal costs $5.40. No information about the ounces.

Insufficient.

Stmt (I) + (II)

No information about the ounce of the regular-size box of cereal.

Insufficient. Hence (E)

A-2 I also think its (B)

2- rose , 2 - white
Probability to select a white bush in the first pick - 2/4
Probability to select a red bush in the second pick - 2/3
Probability to select a red bush in the third pick - 1/2
Probability to select a white bush in the last pick - 1
Total probability = 2/4 * 2/3 * 1/2 * 1 = 2/12 = 1/6

Hence (B)

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Re: Mixed Ques [#permalink]

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New post 29 Nov 2008, 04:23
thanks you very much for the explanations. I am now getting a little hang of things.

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Re: Mixed Ques [#permalink]

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New post 29 Nov 2008, 13:05
Agree with answers E, B
Quick tip on the second one:
No of ways of arranging n things = n!
If the things have any repeated items, divide by factorial of the number of repeats

Hence, in this case,
4 rows: 4!
repeats: 2 blue, 2 red
hence no of different ways of arranging them = 4!/2!2! = 6
Only one way to have the two reds in between,
so probablity = 1/6

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Re: Mixed Ques   [#permalink] 29 Nov 2008, 13:05
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A family-size box of cereal contains more cereal and costs

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