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grater than 2 and smaller than 400

Expert replies
by sanju09 » Sat Jun 19, 2010 2:05 am
For how many integer values of n will the value of the expression 2 n^2 + 1 be an integer grater than 2 and smaller than 400?
(A) 14
(B) 15
(C) 16
(D) 28
(E) 32
The mind is everything. What you think you become. –Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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Source: — Problem Solving |

by kvcpk » Sat Jun 19, 2010 2:22 am
sanju09 wrote:For how many integer values of n will the value of the expression 2 n^2 + 1 be an integer grater than 2 and smaller than 400?
(A) 14
(B) 15
(C) 16
(D) 28
(E) 32
For any integer value of n, n^2 is positive..
So, 2 n^2 + 1 is always greater than 2. except for n= 0

2n^2 +1 <400
2n^2 <399
n^2<199
so n should be less than or equal to 14 or greater than or equal to -14 [14^2 = 196]

so total possible values for n should be 28 [excuding 0]

D
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by amising6 » Sat Jun 19, 2010 2:47 am
sanju09 wrote:For how many integer values of n will the value of the expression 2 n^2 + 1 be an integer grater than 2 and smaller than 400?
(A) 14
(B) 15
(C) 16
(D) 28
(E) 32
2 n^2 + 1<400
2n^2<399
n^2<199 (approx)
now all the number whose square less than 199
14 ^2 =196
and it will have to be greate than 2
so answer will include all the number between 1 and 14 so 14
so answer A
Ideation without execution is delusion
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by sanju09 » Sat Jun 19, 2010 2:54 am
amising6 wrote:
sanju09 wrote:For how many integer values of n will the value of the expression 2 n^2 + 1 be an integer grater than 2 and smaller than 400?
(A) 14
(B) 15
(C) 16
(D) 28
(E) 32
2 n^2 + 1<400
2n^2<399
n^2<199 (approx)
now all the number whose square less than 199
14 ^2 =196
and it will have to be greate than 2
so answer will include all the number between 1 and 14 so 14
so answer A
For integer n and 2 n^2 + 1 > 2, n cannot take 0; hence, on the number line, all integers from -14 to 14 EXCEPT 0 fulfill the need. Is it still A, man?
The mind is everything. What you think you become. –Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Join the discussion

by amising6 » Sat Jun 19, 2010 2:57 am
sanju09 wrote:
amising6 wrote:
sanju09 wrote:For how many integer values of n will the value of the expression 2 n^2 + 1 be an integer grater than 2 and smaller than 400?
(A) 14
(B) 15
(C) 16
(D) 28
(E) 32
2 n^2 + 1<400
2n^2<399
n^2<199 (approx)
now all the number whose square less than 199
14 ^2 =196
and it will have to be greate than 2
so answer will include all the number between 1 and 14 so 14
so answer A
For integer n and 2 n^2 + 1 > 2, n cannot take 0; hence, on the number line, all integers from -14 to 14 EXCEPT 0 fulfill the need. Is it still A, man?
no dude my case was only for positve integer
if you include negative integr it will be 28

thanks
Ideation without execution is delusion
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