Which of the following fractions is greater than 1/4?
A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24
The OA is B.
Is there a quick and strategic approach to solve this question? Can any experts help, please?
I try to solve as follows:
A. 12/50
12.5/50 = 1/4 thus 12/50 < 1/4
B. 3/11
3/12 = 1/4 thus 3/11 > 1/4
C. 2/9
2/8 = 1/4 thus 2/9 < 1/4
D. 4/17
4/16 = 1/4 thus 4/17 < 1/4
E. 6/24
6/24 = 1/4
I think that it's a long way.
Which of the following fractions is greater than 1/4?
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Multiply each of the numerators by 4 and see if it is bigger than the denominator:AAPL wrote:Which of the following fractions is greater than 1/4?
A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24
The OA is B.
Is there a quick and strategic approach to solve this question? Can any experts help, please?
I try to solve as follows:
A. 12/50
12.5/50 = 1/4 thus 12/50 < 1/4
B. 3/11
3/12 = 1/4 thus 3/11 > 1/4
C. 2/9
2/8 = 1/4 thus 2/9 < 1/4
D. 4/17
4/16 = 1/4 thus 4/17 < 1/4
E. 6/24
6/24 = 1/4
I think that it's a long way.
A. 12/50: 12*4 = 48, 48 > 50 NO
B. 3/11: 3*4 = 12, 12 > 11 YES
C. 2/9: 2*4 = 8, 8 > 9 NO
D. 4/17: 4*4 = 16, 16 > 17 NO
E. 6/24: 6*4 = 24, 24 > 24 NO
Once you get to B and find a YES you can stop.
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A. 12/50AAPL wrote:Which of the following fractions is greater than 1/4?
A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24
Notice that 12/48 = 1/4
So, 12/50 will be LESS THAN 1/4
Eliminate A
B. 3/11
3/12 = 1/4
So, 3/11 will be GREATER THAN 1/4
Answer: B
Cheers,
Brent
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Hi AAPL,
We're asked to find the fractions that is GREATER than 1/4. The 'math' behind this question can be done in a number of different ways - and you can use a Number Property pattern to save some time. It's worth noting that once you find the answer that is greater than 1/4, you can STOP working.
For a fraction to equal 1/4, the denominator must be exactly 4 times the value of the numerator. For example 1/4, 2/8, 3/12, etc. are all exactly equal to 1/4. If you INCREASE the denominator, then the fraction becomes SMALLER. If you DECREASE the denominator, then the fraction becomes bigger. Thus, we're looking for a fraction in which the denominator is LESS than 4 times the value of the numerator.
Answer A: 12/50... (12)(4) = 48..... 50 is greater than 48, so this fraction is LESS than 1/4
Answer B: 3/11... (3)(4) = 12.... 11 is SMALLER than 12, so this fraction is GREATER than 1/4
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
We're asked to find the fractions that is GREATER than 1/4. The 'math' behind this question can be done in a number of different ways - and you can use a Number Property pattern to save some time. It's worth noting that once you find the answer that is greater than 1/4, you can STOP working.
For a fraction to equal 1/4, the denominator must be exactly 4 times the value of the numerator. For example 1/4, 2/8, 3/12, etc. are all exactly equal to 1/4. If you INCREASE the denominator, then the fraction becomes SMALLER. If you DECREASE the denominator, then the fraction becomes bigger. Thus, we're looking for a fraction in which the denominator is LESS than 4 times the value of the numerator.
Answer A: 12/50... (12)(4) = 48..... 50 is greater than 48, so this fraction is LESS than 1/4
Answer B: 3/11... (3)(4) = 12.... 11 is SMALLER than 12, so this fraction is GREATER than 1/4
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
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We see that 1/4 is equivalent to 12/48, 3/12, 2/8, 4/16, and 6/24.AAPL wrote:Which of the following fractions is greater than 1/4?
A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24
We use the property that when we compare two fractions whose numerators are equal, the larger fraction has the smaller denominator. Thus, we see that 3/11 is greater than 3/12, and thus, 3/11 is greater than 1/4.
Answer: B
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