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If h is the hundredths digit in the decimal number d = 1.3h4, what is the value of d?
(1) h < 5
(2) d < 1.321
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
https://gmatclub.com/forum/data-sufficiency-ds-141/
https://gmatclub.com/forum/data-sufficiency-ds-141/
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If h is the hundredths digit in the decimal number d = 1.3h4, what is the value of d?
(1) h < 5
It means h could be anything from 0 to 4. Clearly insufficient.
A D / B C E
2) d < 1.321
We know the d = 1.3h4 and d < 1.321, we know the two possibilities will be-> d = 1.304 or d = 1.314
Insufficient.
A D / B C E
Combining both statements, we still get two possibilities as explained in statement 2.
'E' is the answer.
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(1) h < 5
It means h could be anything from 0 to 4. Clearly insufficient.
2) d < 1.321
We know the d = 1.3h4 and d < 1.321, we know the two possibilities will be-> d = 1.304 or d = 1.314
Insufficient.
Combining both statements, we still get two possibilities as explained in statement 2.
'E' is the answer.
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Quote:
Question: Value of d = ? i.e. Value of h = ?
Statement 1: h < 5
No unique value of h hence no unique value of d
NOT SUFFICIENT
Statement 2: d < 1.321
d = 1.3h4
i.e. h may be 0 or 1 hence
NOT SUFFICIENT
COmbining the two statements
h may be 0 or 1 hence d = 1.304 oe 1.314
NOT SUFFICIENT
Answer: Option E
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If h is the hundredths digit in the decimal number d = 1.3h4, what is the value of d?
(1) h < 5
(2) d < 1.321
i) h<5 => h can be 0,1,2,3,4 => Not Sufficient
ii) d<1.321 => h can be 0, 1 i.e. d can be 1.304 or 1.314 => Not Sufficient
Combining h can be either 0 or 1 => Not Sufficient
Answer - E
(1) h < 5
(2) d < 1.321
i) h<5 => h can be 0,1,2,3,4 => Not Sufficient
ii) d<1.321 => h can be 0, 1 i.e. d can be 1.304 or 1.314 => Not Sufficient
Combining h can be either 0 or 1 => Not Sufficient
Answer - E
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d = 1.3h4, what is the value of d?
Let's start with (1)+(2)
--> h < 5 and d < 1.321
d can be 1.304 or 1.314. We don't determine the exact d.
NOT SUFFICIENT
Since (1)+(2) is not sufficient, options (A),(B),(C),(D) can be eliminated.
FINAL ANSWER IS (E)
Posted from my mobile device
Let's start with (1)+(2)
--> h < 5 and d < 1.321
d can be 1.304 or 1.314. We don't determine the exact d.
NOT SUFFICIENT
Since (1)+(2) is not sufficient, options (A),(B),(C),(D) can be eliminated.
FINAL ANSWER IS (E)
Posted from my mobile device
D=1.3h4
A. H<5
D can be any digit between 0-4
B.D<1•321
1.3h4 < 1.321
So there can be two possible values of h either 0 or 1
So none of a or b can solve it
Posted from my mobile device
A. H<5
D can be any digit between 0-4
B.D<1•321
1.3h4 < 1.321
So there can be two possible values of h either 0 or 1
So none of a or b can solve it
Posted from my mobile device
Quote:
(1) h < 5: insufic
0≤h<5 {0,1,2,3,4}
(2) d < 1.321: insufic
d=1.3h4<1.321
d={1.314,1.304}
(1/2) insufic
d={1.314,1.304}
Ans (E)
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If h is the hundredths digit in the decimal number d = 1.3h4, what is the value of d?
(1) h < 5
--> Possible values of d = {1.304, 1.314, 1.324, 1.334, 1.344} --> Insufficient
(2) d < 1.321
--> Possible values of d = {1.304, 1.314} --> Insufficient
Combining (1) & (2),
--> Possible values of d = {1.304, 1.314} --> Insufficient
Option E
(1) h < 5
--> Possible values of d = {1.304, 1.314, 1.324, 1.334, 1.344} --> Insufficient
(2) d < 1.321
--> Possible values of d = {1.304, 1.314} --> Insufficient
Combining (1) & (2),
--> Possible values of d = {1.304, 1.314} --> Insufficient
Option E
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question does not say round off value
#1
h < 5
d= 1.3(4/3/2/1/0)4
insufficient
#2
d < 1.321
d can be 1.3(1/0)1
insufficient
from 1 &2
d can be 1.3(1/0)1
insufficient
IMO E
If h is the hundredths digit in the decimal number d = 1.3h4, what is the value of d?
(1) h < 5
(2) d < 1.321
#1
h < 5
d= 1.3(4/3/2/1/0)4
insufficient
#2
d < 1.321
d can be 1.3(1/0)1
insufficient
from 1 &2
d can be 1.3(1/0)1
insufficient
IMO E
If h is the hundredths digit in the decimal number d = 1.3h4, what is the value of d?
(1) h < 5
(2) d < 1.321
Posts: 5,201
Updated on: 27 Feb 2020, 23:03
Originally posted by GmatKnightTutor on 27 Feb 2020, 10:10.
Last edited by GmatKnightTutor on 27 Feb 2020, 23:03, edited 1 time in total.
Last edited by GmatKnightTutor on 27 Feb 2020, 23:03, edited 1 time in total.
Well, looking at the conditions, d can be either 1.314 or 1.304. Straight (E) 
I daresay, these questions are designed to trip you rather than test you.
Just a guy with a Q50
I daresay, these questions are designed to trip you rather than test you.
Just a guy with a Q50
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Posts: 16
If h is the hundredths digit in the decimal number d = 1.3h4, what is the value of d?
(1) h < 5
(2) d < 1.321
From the question stem, d = 1.3h4 ( h can range from 0 to 9, included)
From Statement 1, h<5 (we have 5 possibilities, h = 0,1,2,3,4)
From Statement 2, d<1.321 (infinite many possibilities for d)
Combining statement 1+2, we still have 2 possible answers (d = 1.314, 1.304)
Hence, E
(1) h < 5
(2) d < 1.321
From the question stem, d = 1.3h4 ( h can range from 0 to 9, included)
From Statement 1, h<5 (we have 5 possibilities, h = 0,1,2,3,4)
From Statement 2, d<1.321 (infinite many possibilities for d)
Combining statement 1+2, we still have 2 possible answers (d = 1.314, 1.304)
Hence, E
It's given that h is the hundredths digit in the decimal number d = 1.3h4.
We need to find value of d.
Statement-1 states that h < 5
Or, h can be 0,1,2,3,4 or 5. Not any distinct value for h.
Hence Insufficient.
Cancel AD. Keep BCE
Statement-2 states that d < 1.321
As d = 1.3h4 and d < 1.321, d can be either 1.304 or 1.314.
We are not getting distinct value for D.
Insufficient.
Cancel B. Keep C E.
Taking statement 1 and 2 together d can be either 1.304 or 1.314.
Or, we are not getting distinct value for d.
Hence, Insufficient.
Cancel C.
Right Answer Is Option E.
We need to find value of d.
Statement-1 states that h < 5
Or, h can be 0,1,2,3,4 or 5. Not any distinct value for h.
Hence Insufficient.
Cancel AD. Keep BCE
Statement-2 states that d < 1.321
As d = 1.3h4 and d < 1.321, d can be either 1.304 or 1.314.
We are not getting distinct value for D.
Insufficient.
Cancel B. Keep C E.
Taking statement 1 and 2 together d can be either 1.304 or 1.314.
Or, we are not getting distinct value for d.
Hence, Insufficient.
Cancel C.
Right Answer Is Option E.
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