Data Sufficiency

What is the value of positive integer x?

(1) x is a factor of the product of all integers from 1 to 5, inclusive

(2) x has 6 factors


OA E

Source: e-GMAT

BTGmoderatorDC wrote: ↑

Sat Jun 27, 2020 6:55 pm

What is the value of positive integer x?

(1) x is a factor of the product of all integers from 1 to 5, inclusive

(2) x has 6 factors


OA E

Source: e-GMAT

1. \(x\) can be \(1\) or \(2\) or \(3\) or... Insufficient. \(\Large{\color{red}\chi}\)

2. x can be \([(2^2) \cdot 3]\) or \([(2^2)\cdot 5]\). In both cases total factors: \((2+1)\cdot (1+1)=6\). Insufficient. \(\Large{\color{red}\chi}\)

Combining 1 & 2

Again in this case also x can assume multiple values, giving two examples to negate:

12 and 20.

Therefore, E

Product of 1x2x3x4x5 = 120
X is a factor of 120. Thus, from 1 we dont get a particular value for x.

X has 6 factors. There are numerous ways for X to have 6 factos.
Combining 1 & 2 does not yield a particular value either, Thus, Ans is E