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help needed on math questions

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help needed on math questions [#permalink] New post 01 Aug 2006, 11:03
Is there a shortcut for solving this question?

June 25, 1982, fell on a Friday. On which day of the week did June 25, 1987, fall? (Note: 1984 was a leap year.)

A. Sunday
B. Monday
C. Tuesday
D. Wednesday
E. Thursday

__________________________________________________________


Joanna bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?

(1) She bought $4.40 worth of stamps.
(2) She bought an equal number of $0.15 stamps and $0.29 stamps.

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.
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Re: help needed on math questions [#permalink] New post 01 Aug 2006, 11:51
[quote="positive_energy"]Is there a shortcut for solving this question?


Joanna bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?

(1) She bought $4.40 worth of stamps.
(2) She bought an equal number of $0.15 stamps and $0.29 stamps.

Statement 1 says .15*x+ .29*y = 4.4; as x & y are no of stamps; x& y are + ve integers; only one combination possible y =10 and x = 10; so SUFF

Statement 2: equal no can be any no ; IN SUFF

therefore A....
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 [#permalink] New post 01 Aug 2006, 12:00
Q1:
E

365 days = 52 weeks + 1 day
365 days = 52 weeks + 2 days

June 25 1982 - Friday
June 25 1983 - Saturday
June 25 1984 - Monday
June 25 1985 - Tuesday
June 25 1986 - Wednesday
June 25 1987 - Thursday
-------------------------------------------------------------------
Q2:
A

St1: 15x + 29 y = 440
only possible when x = 10 and y = 10: SUFF

St2: Clearly INSUFF
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Re: help needed on math questions [#permalink] New post 01 Aug 2006, 12:02
[quote="positive_energy"]Is there a shortcut for solving this question?

June 25, 1982, fell on a Friday. On which day of the week did June 25, 1987, fall? (Note: 1984 was a leap year.)

A. Sunday
B. Monday
C. Tuesday
D. Wednesday
E. Thursday

365*5+1 = 1826/7 = 260*7+6
F+6=Thursday.
Thus E.


Joanna bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?

(1) She bought $4.40 worth of stamps.
(2) She bought an equal number of $0.15 stamps and $0.29 stamps.

S1. 0.15A+0.29B = 4.4
=> 15A=440-29B
Candidate for B is multiple of 5.
plug in 5,10,15
29*5=145
29*10=290
29*15=435

Thus B=10, A=10 : sufficient.

S2. 0.15A+0.29A = ?
insuff.
A it is.
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Last edited by freetheking on 01 Aug 2006, 12:07, edited 1 time in total.
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Re: help needed on math questions [#permalink] New post 01 Aug 2006, 12:06
freetheking wrote:

S2. 0.15A+0.29A = 4.4
A = 10 : sufficient.

D it is.

This question tricked you. :wink: :wink:
Red part is not provided in statement 2. This is a very common type of mistake, to incorporate statement 1 into statement 2.
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Re: help needed on math questions [#permalink] New post 01 Aug 2006, 12:07
ps_dahiya wrote:
freetheking wrote:

S2. 0.15A+0.29A = 4.4
A = 10 : sufficient.

D it is.

This question tricked you. :wink: :wink:
Red part is not provided in statement 2. This is a very common type of mistake, to incorporate statement 1 into statement 2.


While editting, you found my err...
:oops:
I think I studied too hard, need dayoff!
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 [#permalink] New post 02 Aug 2006, 01:43
1)

June 25th 1982 - - Friday
June 25th 1983 - - Sat
June 25th 1984 - - Mon
June 25th 1985 - - Tue
June 25th 1986 - - Wed
June 25th 1987 - - Thursday

2) A

Cond-1) 0.15x + 0.29y = 4.4
Only x = y = 10 satsify the condition. Suff
Cond-2) x=y Not suff.
  [#permalink] 02 Aug 2006, 01:43
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