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## GMAT Prep software question

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atarafder Just gettin' started!
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GMAT Prep software question Fri May 18, 2007 1:28 pm
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
1. if m and n are positive integers, what is the remainder when 3 ^ (4n +2) + m is divided by 10?
A. n= 2
B. m =1

Please note it is only 3 to the power of (4n+2)

ANS - B

2. for which of the following functions is f(a+b) = f(a) + f(b) for all positive numbers a and b?
A. f(x) = x^2
B. f(x) = f(x+1)
C. f(x) = sqrt x
D. f(x) = x/2
E. f(x) = -3x

Ans: E

Thanks,
AJ

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jayhawk2001 Community Manager
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Fri May 18, 2007 4:39 pm
atarafder wrote:
1. if m and n are positive integers, what is the remainder when 3 ^ (4n +2) + m is divided by 10?
A. n= 2
B. m =1

Please note it is only 3 to the power of (4n+2)

1 - insufficient. Without knowing m, we cannot find the remainder

2 - sufficient.

3^(4n+2) + m
= 9^(2n+1) + m

We know that 9^(2n+1) will yield a number with units digit 9

So, knowing m, we can find the last digit of 3^(4n+2) + m
and hence the remainder when the above is divided by 10.

Hence B.

atarafder wrote:
2. for which of the following functions is f(a+b) = f(a) + f(b) for all positive numbers a and b?
A. f(x) = x^2
B. f(x) = f(x+1)
C. f(x) = sqrt x
D. f(x) = x/2
E. f(x) = -3x
Ans: E
Is the question copied correctly ?

Is B f(x) = f(x+1) or just x+1 ?

A - f(a) + f(b) = a^2 + b^2 which is not equal to (a+b)^2
C - sqrt-a + sqrt-b not equal to sqrt (a+b)
D - seems to satisfy as well
E - seems to satisfy

atarafder Just gettin' started!
Joined
12 May 2007
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Fri May 18, 2007 4:49 pm
you are right, D is 2/x and NOT x/2
and B is f(x) = x+1

Last edited by atarafder on Fri May 18, 2007 4:58 pm; edited 1 time in total

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