f digit h is the hundredths' digit in the decimal d = 0.2h6, what is the value of d, rounded to the nearest tenth?
(A) d < l/4
(B) h < 5
1. statement (A) alone is sufficient but statement (B) alone is not
2. statement (B) alone is sufficient but statement (A) alone is not
3. both (A) and (B) together are sufficient but none of them alone is sufficient
4. both statements are sufficient independently
5. both (A) and (B) together are not sufficient
Please provide the answer with explanations ...thanks in advance
Hundredth Digit
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Is the answer E?
if h = 0, 1, 2, 3 then d = 0.2
if h = 4, 5, 6, 7, 8, 9 then d = 0.3
1) d < 0.25 therefore, the number could span both categories (includes 4 from the above category). Therefore insufficient
2) h < 5 in the same vein as above, the number could span both categories.
With both statements together, the number still spans both categories as a number less than 0.25 still includes 4 and therefore d can round to both 0.2 or 0.3
if h = 0, 1, 2, 3 then d = 0.2
if h = 4, 5, 6, 7, 8, 9 then d = 0.3
1) d < 0.25 therefore, the number could span both categories (includes 4 from the above category). Therefore insufficient
2) h < 5 in the same vein as above, the number could span both categories.
With both statements together, the number still spans both categories as a number less than 0.25 still includes 4 and therefore d can round to both 0.2 or 0.3
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The answer is D
Tenth digit is the digit after the decimal point.....which is 2 in this case
d = 0.2h6
(A) d < l/4, which means d < 0.25, given d = 0.2h6 so d can have the values 0.21,0.22,0.23 and 0.24. Rounded to the nearest tenth digit it is always 0.2.So A sufficient.
(B)h < 5 which means d can have the values 0.216,0.226,0.236 and 0.246. Rounded to the nearest tenth digit it is always 0.2 so B is sufficient
Hence Option D
Tenth digit is the digit after the decimal point.....which is 2 in this case
d = 0.2h6
(A) d < l/4, which means d < 0.25, given d = 0.2h6 so d can have the values 0.21,0.22,0.23 and 0.24. Rounded to the nearest tenth digit it is always 0.2.So A sufficient.
(B)h < 5 which means d can have the values 0.216,0.226,0.236 and 0.246. Rounded to the nearest tenth digit it is always 0.2 so B is sufficient
Hence Option D
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IMO D
1. D<1/4 or <0.25
so the value of h=0,1,2,3,4
The value of the tenth digit remains 2 in each case
2. h,5, so the value of h=0,1,2,3,4.
The value of tenth digit remains 2 in each case
so both st alno are SUFF
1. D<1/4 or <0.25
so the value of h=0,1,2,3,4
The value of the tenth digit remains 2 in each case
2. h,5, so the value of h=0,1,2,3,4.
The value of tenth digit remains 2 in each case
so both st alno are SUFF
A quick review:
2,436.789
2 is the thousands digit
4 is the hundreds digit
3 is the tens digit
6 is the units (or ones) digit
7 is the tenths digit
8 is the hundredths digit
9 is the thousandths digit
Read Stuart Kovinsky's explanation carefully...
https://www.beatthegmat.com/integer-boun ... html#59293
2,436.789
2 is the thousands digit
4 is the hundreds digit
3 is the tens digit
6 is the units (or ones) digit
7 is the tenths digit
8 is the hundredths digit
9 is the thousandths digit
Read Stuart Kovinsky's explanation carefully...
https://www.beatthegmat.com/integer-boun ... html#59293
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IMO answer is D
1. d<1/4
=> d< .25
=> h (1,2,3,4)
in any case d = .2 if rounded to tenth place
2. if h<5
same logic follows as above
so
answer is D
1. d<1/4
=> d< .25
=> h (1,2,3,4)
in any case d = .2 if rounded to tenth place
2. if h<5
same logic follows as above
so
answer is D
Can anyone help here?Why GMAT does not consider this as a possibility?The OA is D for this??sumanal wrote:I have a doubt..
given statement 1. if h is 4 then by rounding off the digit next to it 6( in 0.2h6) will give us .25 then the value of d will be .3 instead of 0.25 when h<3..
kindly clarify this point!!
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yserious wrote:Can anyone help here?Why GMAT does not consider this as a possibility?The OA is D for this??sumanal wrote:I have a doubt..
given statement 1. if h is 4 then by rounding off the digit next to it 6( in 0.2h6) will give us .25 then the value of d will be .3 instead of 0.25 when h<3..
kindly clarify this point!!
The tenths digit (which can be 0.1 or 0.2 or 0.3 or 0.4 or...so on) that is nearest to 0.246 is 0.2 and not 0.3. Look at the number line. X = 0.246. X is closest to which tenth ?pepeprepa wrote:Just draw a line: you have 0.2--------X---0.25-------------0.3
Do not round 0.246 ->0.25 and then 0.25 -> 0.3
Rounding 0.246 to nearest hundredths digit is 0.246 is 0.246->0.25
Rounding 0.246 to nearest tenth is 0.2
Work with number line as much as possible. It'll make life simpler for you
Hope it helps
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With DS problems, I always ask myself the following three questions:
What do I want?
What do I have?
What do I need?
With DS problems, the goal is not to solve but to see whether the statement gives you sufficient information to solve. In other words: Is the statement giving me what I need?
In this case:
What do I want? What is the question asking for? In this case, the value of d rounded to the nearest tenth.
What do I have? Before I look at the two statements, what information have I been given? In this case, that d = .2h6
What do I need? In order to answer the question, what additional information is needed? In this case, the value of h. If h < 5, then rounded to the nearest tenth d = .2; if h >= 5, then rounded to the nearest tenth d = .3.
So when I examine the two statements, what I need is the answer to this question:
Is h < 5?
Statement 1: If d < .25, then h can't be 5, because .256 > .25. So statement 1 tells me that h < 5. SUFFICIENT.
Statement 2: This statement tells me outright that h < 5. SUFFICIENT.
Since each statement is sufficient, the correct answer is D.
What do I want?
What do I have?
What do I need?
With DS problems, the goal is not to solve but to see whether the statement gives you sufficient information to solve. In other words: Is the statement giving me what I need?
In this case:
What do I want? What is the question asking for? In this case, the value of d rounded to the nearest tenth.
What do I have? Before I look at the two statements, what information have I been given? In this case, that d = .2h6
What do I need? In order to answer the question, what additional information is needed? In this case, the value of h. If h < 5, then rounded to the nearest tenth d = .2; if h >= 5, then rounded to the nearest tenth d = .3.
So when I examine the two statements, what I need is the answer to this question:
Is h < 5?
Statement 1: If d < .25, then h can't be 5, because .256 > .25. So statement 1 tells me that h < 5. SUFFICIENT.
Statement 2: This statement tells me outright that h < 5. SUFFICIENT.
Since each statement is sufficient, the correct answer is D.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
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