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(a! + b!) (c! + d!)?

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by sanju09 » Wed Apr 16, 2014 2:34 am
What is the value of (a! + b!) (c! + d!)?
(1) b!d! = 4(a!d!).
(2) 60(b!c!) = b!d!.


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by sparkles3144 » Wed Apr 16, 2014 5:26 am
What is the value of (a! + b!) (c! + d!)?
(1) b!d! = 4(a!d!).
(2) 60(b!c!) = b!d!.

(1) b!d! = 4(a!d!)
b! = 4(a!)
b!/a! = 4
4! / 3! = 4
So, b =4 and a = 3
We do not the value of c and d. Therefore not sufficient.

(2)60(b!c!) = b!d!
60(c!) = d!
d!/c!= 60
d = 60 and c = 59
We do not the value of a and b. Therefore not sufficient.

(c) combine (1) and (2)
We have all four values. It is sufficient.
Answer C
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by sanju09 » Wed Apr 16, 2014 9:47 pm
sparkles3144 wrote:What is the value of (a! + b!) (c! + d!)?
(1) b!d! = 4(a!d!).
(2) 60(b!c!) = b!d!.

(1) b!d! = 4(a!d!)
b! = 4(a!)
b!/a! = 4
4! / 3! = 4
So, b =4 and a = 3
We do not the value of c and d. Therefore not sufficient.

(2)60(b!c!) = b!d!
60(c!) = d!
d!/c!= 60
d = 60 and c = 59
We do not the value of a and b. Therefore not sufficient.

(c) combine (1) and (2)
We have all four values. It is sufficient.
Answer C
In statement (2), 60 (c!) = (d!) can also be interpreted as (5)(4)(3)(c!) = (d!), which may mean that c = 2 and d = 5.
The mind is everything. What you think you become. -Lord Buddha



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Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

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