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18 May 2016, 02:19
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For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?
A. 48
B. 49
C. 50
D. 51
E. 52
A. 48
B. 49
C. 50
D. 51
E. 52
18 May 2016, 03:26
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1< 4n+7 < 200
1-7< 4n < 200-7
-6 < 4n < 193
-1.5 < n < 48.25
Since n is an integer -1, 0,1,2,3…………………48
Total 50
1-7< 4n < 200-7
-6 < 4n < 193
-1.5 < n < 48.25
Since n is an integer -1, 0,1,2,3…………………48
Total 50
29 May 2016, 00:50
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Bunuel
For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?
A. 48
B. 49
C. 50
D. 51
E. 52
A. 48
B. 49
C. 50
D. 51
E. 52
From first constraint
4n+7 > 1
4n> -6
n > -(3/2)
n> -1.5 (n = -1, 0, 1 ,2 3........ upto infinity)
From second constraint
4n+7 < 200
4n< 193
n < 48. 25
n = (-infinity, .......-3, -2, -1, 0, 1, 2, .........upto 48)
Combining the two
-1.5 < n<48.25
n = 1 to 48 (48 integers)
and n = -1 and 0
so 50 integers.
C is the answer
