Question

QUANTITATIVE APTITUDE
13. If the LCM and HCF of two expressions are (x2 +6x+
8) (x+ 1) and (x + 1) respectively and one of the
expression is x2 + 3x + 2, then find the other.
(a) x2 + 5x + 4 (b) x2 –5x+4
(C) x2 + 4x + 5
(d) x2- 4x+5​

Answer 1

Answer:

c.x2 + 4x + 5.happy Christmas to all

Step-by-step explanation:

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Answer 2

The answer is a) x2 + 5x +4
Let 2 numbers be a and b
hence, LCM X HCF = a X b
(x2 + 6x +8)(x+1)(x+1)= (x2+3x+2) X b
After solving brackets
b = (x+2)(x+4)(x+1)(x+1)/(x+2)(x+1)
b= (x+4)(x+1)
b = (x2 +5x+4)
Therefore, the answer is x2 + 5x +4