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555-605 (Medium)|   Algebra|      
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Bunuel
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If x is not 0, -1, -2 or -3, then (1 + 1/x)(1 + 1/x + 1)(1 + 1/x + 2) 11 Aug 2021, 05:15
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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25% (medium)

Question Stats:

79% (01:41) correct 21% (02:02) wrong based on 102 sessions

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If x is not 0, -1, -2 or -3, then \((1 + \frac{1}{x})(1 + \frac{1}{x + 1})(1 + \frac{1}{x + 2})(1 + \frac{1}{x +3})=\) ?

(A) \(1 + \frac{1}{x + 4}\)

(B) \(x + 4\)

(C) \(\frac{1}{x}\)

(D) \(\frac{x+4}{x}\)

(E) \(\frac{x+1}{x}\)
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D
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Catman
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If x is not 0, -1, -2 or -3, then (1 + 1/x)(1 + 1/x + 1)(1 + 1/x + 2) 11 Aug 2021, 05:27
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On Expanding the expression

(X+1/X)*(X+2/X+1)*(X+3/X+2)*(X+4/X+3).

On solving only (X+4)/X will remain.

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If x is not 0, -1, -2 or -3, then (1 + 1/x)(1 + 1/x + 1)(1 + 1/x + 2) 11 Aug 2021, 05:34
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Solve the equations or alternatively choose any value of x and check the options.
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File comment: After solving the brackets
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If x is not 0, -1, -2 or -3, then (1 + 1/x)(1 + 1/x + 1)(1 + 1/x + 2) 08 Jan 2024, 09:51
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on expanding the equation all the variables will be canceled and only (x+4)/x will be left straight forward question
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If x is not 0, -1, -2 or -3, then (1 + 1/x)(1 + 1/x + 1)(1 + 1/x + 2) 08 Jan 2024, 21:57
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Hi
I also got the answer as option D
I wanted to know does this ("If x is not 0, -1, -2 or -3") have any importance in the question? or its just a distraction?
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If x is not 0, -1, -2 or -3, then (1 + 1/x)(1 + 1/x + 1)(1 + 1/x + 2) 09 Jan 2024, 00:06
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DrAnkita91
Hi
I also got the answer as option D
I wanted to know does this ("If x is not 0, -1, -2 or -3") have any importance in the question? or its just a distraction?
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The condition "If x is not 0, -1, -2, or -3" is crucial as it ensures that the denominators of the fractions in the question, such as 1/x, 1/(x+1), 1/(x+2), and 1/(x+3), are non-zero, ensuring that the expressions remain defined throughout the problem.
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If x is not 0, -1, -2 or -3, then (1 + 1/x)(1 + 1/x + 1)(1 + 1/x + 2) 09 Jan 2024, 01:43
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Bunuel
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Hi
I also got the answer as option D
I wanted to know does this ("If x is not 0, -1, -2 or -3") have any importance in the question? or its just a distraction?

The condition "If x is not 0, -1, -2, or -3" is crucial as it ensures that the denominators of the fractions in the question, such as 1/x, 1/(x+1), 1/(x+2), and 1/(x+3), are non-zero, ensuring that the expressions remain defined throughout the problem.
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got it..
thank you for the clarification
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Bunuel
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