**Quote:**

If d represents the hundredths digit and e represents the thousandths digit in the decimal .4de, what is the value of this decimal rounded to the nearest tenth?

(1) d â€“ e is equal to a positive perfect square.

(2) sqrt(d) > e^2

C?

Number = 0.4 if d<=5

Number = 0.5 if d>5

Our aim is to see if d is lesser than or equal to 5.

(1) d â€“ e is equal to a positive perfect square.

combination for positive perfect square for < 10 pairs are:

9 = 9-0

4 = 9-5, 8-4, 7-3, 6-2, 5-1, 4-0

1 = 9-8, 8-7, ...., 2-1

We cannot decide. d may be 2 or 9

(2) sqrt(d) > e^2

d > e^4

e has to be 1, since e=2 will make d>16 not possible.

if e=1, e^4 = 1 and d can be 2 or 9

Insufficient

Together,

e=1 from (2)

d should be 5 or 2 from (1)

In both cases, d<=5 and hence the value of the given decimal is 0.4