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06 Jan 2022, 05:15
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
49% (01:43) correct
51%
(01:24)
wrong
based on 203
sessions
History
Date
Time
Result
Not Attempted Yet
If (5x + 11) is a positive integer, for how many integer values of x will the number (5x + 11) be less than 300?
(A) 56
(B) 57
(C) 58
(D) 59
(E) 60
(A) 56
(B) 57
(C) 58
(D) 59
(E) 60
15 Jan 2022, 04:37
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Bunuel
Least value of \(x\) can be obtained when \(= ( 5x + 11) = 1 \)
\(5x= -10 , x=-2 \)
Greatest value of \(x\) can be obtained when \(= 5x +11 <300\)
\(x < \frac{ 289}{5} = 57.8 \)
so \(x= -2\) to \(57\) inclusive
Total values of \(x:\)
\(57 -(-2) +1 = 60\)
Ans E
Hope it's clear.
22 Jan 2022, 05:22
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Calculate 5x + 11 < 300
--> x < 57,8
and since x is an int, x<57.
You could be tempted to click on (B); however, we want to know for how many values the positive expression (5x + 11) will be < 300.
x could be also 0,-1 and -2, since all these values still make a positive expression of (5x + 11) and are less than 300.
So: Answer is (E) 60 values.
Best regards
--> x < 57,8
and since x is an int, x<57.
You could be tempted to click on (B); however, we want to know for how many values the positive expression (5x + 11) will be < 300.
x could be also 0,-1 and -2, since all these values still make a positive expression of (5x + 11) and are less than 300.
So: Answer is (E) 60 values.
Best regards
