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If x is a member of the set {a, b, c, d} . . .

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If x is a member of the set {a, b, c, d} . . .

by VJesus12 » Thu Nov 30, 2017 9:41 am
a = 1,743.152
b = 2,621.073
c = 3,280.795
d = 1,406.927

If x is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of x?

(1) The hundredths digit of x is greater than 6.
(2) The thousandths digit of x is less than 4.

The OA is C.

I am really confuse here. Can any expert help me to clarify this?
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Thu Nov 30, 2017 10:31 pm
VJesus12 wrote:a = 1,743.152
b = 2,621.073
c = 3,280.795
d = 1,406.927

If x is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of x?

(1) The hundredths digit of x is greater than 6.
(2) The thousandths digit of x is less than 4.

The OA is C.

I am really confuse here. Can any expert help me to clarify this?
(1) The hundredths digit of x is greater than 6.

The hundredths digits of the numbers are highlighted in blue.

a = 1,743.152
b = 2,621.073
c = 3,280.795
d = 1,406.927

We see that the hundredths digit of b and c are greater than 6. No unique value of x. Insufficient.

(2) The thousandths digit of x is less than 4.

The thousandths digits of the numbers are highlighted in blue.

a = 1,743.152
b = 2,621.073
c = 3,280.795
d = 1,406.927

We see that the thousandths digit of a and b are less than 4. No unique value of x. Insufficient.

(1) and (2) together

Together we get that x = b = 2,621.073. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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