Help! I have two days to the exam

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mimi77: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Tue Oct 16, 2007 1:15 pm

Help! I have two days to the exam

by mimi77 » Fri Nov 16, 2007 10:48 am

I have two questions from GMAT prep 2 exam that I need help with.

1. When a positive integer n is divided by 25, the reminder is 13, what is the value of n?

(1) n<100
(2) when n is divided by 20 the remainder is 3

the answer is C

Question 2.

In the XY plane, each point on circle K has non negative coordinates and the center of K is the point (4,7). What is the maximum possible area of K?

answer is 16pi

Can anyone explain how we get 16pi

thanks everybody

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Source: Beat The GMAT — Data Sufficiency | Fri Nov 16, 2007 10:48 am

ri2007: Master | Next Rank: 500 Posts; Posts: 258; Joined: Mon Aug 27, 2007 12:43 pm; Thanked: 15 times

Re: Help! I have two days to the exam

by ri2007 » Fri Nov 16, 2007 12:49 pm

mimi77 wrote:I have two questions from GMAT prep 2 exam that I need help with.

1. When a positive integer n is divided by 25, the reminder is 13, what is the value of n?

(1) n<100
(2) when n is divided by 20 the remainder is 3

the answer is C

Question 2.

In the XY plane, each point on circle K has non negative coordinates and the center of K is the point (4,7). What is the maximum possible area of K?

answer is 16pi

Can anyone explain how we get 16pi

thanks everybody

Q1)

Given n = 25q + 13

Statement 1) n < 100

So for different values of q - 0, 1, 2, 3 the value of n can be 13, 38, 63, 88

Statement 2) n = 20q + 13

So values of n are 23, 43, 63, 83

Ans is C as you can see the only common number between statement 1 and 2 is 63

Question 2)

Given all values of the circle have positive coordinates. So the circle is in the first quardent

Also given the centre of the circle is at 4, 7. That mean the maximum possible value of the radius is 4 (if it were 7 then the circle would extend outside the first quardent.

Area is pi r^2 which is 16 pi

(if u still dont understand it just draw it on a paper, with two lines extending from X = 4 and Y = 7 and then draw the biggest possible circle with that point as a mid point)

Best of luck with the exam