Data Sufficiency

Is the hundredths digit of the decimal d greater than 5?

(1) the tenths digit of 10d is 7.
(2) the thousandths digit of d/10 is 7.

Can u shed some light on this one, pls? thanks

Let's assume d = 0.0x where x represents the hundredth digit of d. Is x > 5?

(1) 10 * d = 0.x, then x = 7. Sufficient.

(2) d/10 = 0.00x, then x is the thousandths digit. x = 7. Sufficient.

D is the answer.

Let's assume d = 0.0x where x represents the hundredth digit of d. Is x > 5?

(1) 10 * d = 0.x, then x = 7. Sufficient.

(2) d/10 = 0.00x, then x is the thousandths digit. x = 7. Sufficient.

D is the answer.

Hey GMATQuantcoach,

Correct me if i am wrong.

If we take an example 34567.891 in this one

3 will be at 10,000th place

4 will be at 1000th place.

5 will be at 100th place.

6 will be at 10s place.

7 will be at units place.

after decimal.............

8 wil be at units place

9 wil be at 10s place.

1 will be 100th place.

So in these type of questions like this one its asking that
"Is the hundredths digit of the decimal d greater than 5?"

Which hundreths place its talking about?
the one before the decimal i.e 5?
or
the one after the decimal i.e 1?

It will be a great help if you can clarify this to me?

abhinav85 wrote:

Let's assume d = 0.0x where x represents the hundredth digit of d. Is x > 5?

(1) 10 * d = 0.x, then x = 7. Sufficient.

(2) d/10 = 0.00x, then x is the thousandths digit. x = 7. Sufficient.

D is the answer.

Hey GMATQuantcoach,

Correct me if i am wrong.

If we take an example 34567.891 in this one

3 will be at 10,000th place

4 will be at 1000th place.

5 will be at 100th place.

6 will be at 10s place.

7 will be at units place.

after decimal.............

8 wil be at units place

9 wil be at 10s place.

1 will be 100th place.

So in these type of questions like this one its asking that
"Is the hundredths digit of the decimal d greater than 5?"

Which hundreths place its talking about?
the one before the decimal i.e 5?
or
the one after the decimal i.e 1?

It will be a great help if you can clarify this to me?

8 would be the tenths place, 9 would be the hundredths place, etc.

The easiest way to remember it is that 0.8 would be read as eight tenths.

Also, before the decimal it would be the hundreds place. After the decimal it would be the hundredths place.

1) The tenth digit of 10d is 7

d = 0.ABCD, hence 10d = A.[b]B[/b]CD 10th digit of 10d = B = 7. which is 100th digit of d (=0.A7CD and thus bigger than 5) Sufficient

2) The thousandth digit of d/10 is 7

d = 0.ABCD, hence d/10 = 0.0A[b]B[/b]CD 1000th digit of 10d = B = 7. which is 100th digit of d (=0.A7CD and thus bigger than 5)

Let d = a.bcdef
100th digit of a.bcdef is c
Statement 1. 10d = ab.cdef
So, 10th digit of ab.cdef = c = 7
Hence, 100th digit of d = 10th digit of 10d = 7 > 5. Hence, Sufficient.
Statement 2. d/10 = 0.abcdef
1000th digit of d/10 = c = 7.
So, 100th digit of d = 1000th digit of d/10 = 7>5. Hence, Sufficient.