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24 Jul 2022, 01:15
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
81% (01:15) correct
19%
(01:35)
wrong
based on 54
sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following fractions is greatest?
(A) 15/16
(B) 7/9
(C) 13/15
(D) 8/9
(E) 10/11
(A) 15/16
(B) 7/9
(C) 13/15
(D) 8/9
(E) 10/11
24 Jul 2022, 16:06
Kudos
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Bunuel
Certainly an easy question, but I notice that the correct timer responses are averaging more than a minute, so might as well spend a minute talking about glancing at fractions and understanding what they mean. If you're finding common denominators, you're wasting time on what could be a 6-second question.
A) What does 15/16 mean? It's not just two numbers stacked on top of each other. It means that if we take a cake, cut it into 16 pieces, and remove one piece, we are left with 15 pieces that add up to 15/16th of the cake.
B) If we cut the same cake into 9 pieces, we cut this second one into FEWER pieces, so each piece must be LARGER than those of the first cake. AND we are removing two pieces. We definitely have less cake left than in A.
C) If we cut the same cake into 15 pieces, blah blah blah, same as B.
D) We are removing one piece, like we did in A. Is that piece bigger or smaller than in A. It's bigger, so we are left with less cake.
E) Same as D.
Answer choice A.
24 Jul 2022, 21:25
Kudos
Bookmarks
Step 1 :
Try figure out point difference among options.
Here all options Numerator is lesser than denominator i.e. Ratio < 1 Pattern.
In this question two patterns are there 2 Point difference and 1 point difference.
Since, question asked for greatest, 2 Point difference can be eliminated as will be lesser value.
Option B & C can be eliminated.
Step 2 :
Now we are left with 1 point difference :
For common point difference and when ratio <1 , Larger the ratio values more closer to 1 i.e. greater ratio value.
This can be analyzed with simple example say 1/2 and 2/3 and 4/5. Obviously as the value of common difference increases ratio value increases closer to 1.
Hence , among remaining option 15/16 ; 8/9 ; and 10/11 option A 15/16 can be selected as greatest value.
Try figure out point difference among options.
Here all options Numerator is lesser than denominator i.e. Ratio < 1 Pattern.
In this question two patterns are there 2 Point difference and 1 point difference.
Since, question asked for greatest, 2 Point difference can be eliminated as will be lesser value.
Option B & C can be eliminated.
Step 2 :
Now we are left with 1 point difference :
For common point difference and when ratio <1 , Larger the ratio values more closer to 1 i.e. greater ratio value.
This can be analyzed with simple example say 1/2 and 2/3 and 4/5. Obviously as the value of common difference increases ratio value increases closer to 1.
Hence , among remaining option 15/16 ; 8/9 ; and 10/11 option A 15/16 can be selected as greatest value.
