which is greater than Â½...

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pzazz12: Master | Next Rank: 500 Posts; Posts: 155; Joined: Wed Sep 22, 2010 3:54 am; Thanked: 6 times

by pzazz12 » Fri Oct 08, 2010 5:13 am

Of the following, which is greater than Â½ ?

A. 2/5
B. 4/7
C. 4/9
D. 5/11
E. 6/13

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Source: Beat The GMAT — Problem Solving | Fri Oct 08, 2010 5:13 am

kmittal82: Master | Next Rank: 500 Posts; Posts: 324; Joined: Mon Jul 05, 2010 6:44 amFollowed by: 3 members; Location: London; Thanked: 70 times

by kmittal82 » Fri Oct 08, 2010 5:21 am

work the problem.. any number where the numerator is greater than half the denominator should be greater than 1/2.

By this method, (B) wins

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Rahul@gurome: GMAT Instructor; Posts: 1179; Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members; Location: Milpitas, CA; Thanked: 447 times

by Rahul@gurome » Fri Oct 08, 2010 5:22 am

Without actually calculating the values, just multiply the numerators of all answer choices by 2 and see in which choice the numerator is greater than the denominator.
(A) 2*2 = 4 < 5
(B) 4*2 = 8 > 7, so this is the correct answer.

The correct answer is (B).

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pzazz12: Master | Next Rank: 500 Posts; Posts: 155; Joined: Wed Sep 22, 2010 3:54 am; Thanked: 6 times

by pzazz12 » Fri Oct 08, 2010 11:50 pm

Rahul@gurome wrote:Without actually calculating the values, just multiply the numerators of all answer choices by 2 and see in which choice the numerator is greater than the denominator.
(A) 2*2 = 4 < 5
(B) 4*2 = 8 > 7, so this is the correct answer.

The correct answer is (B).

Thank u Rahul..... for explain me a simple method...

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safreen: Newbie | Next Rank: 10 Posts; Posts: 1; Joined: Fri Mar 16, 2018 7:06 pm

by safreen » Fri Mar 16, 2018 7:17 pm

Rahul, Thanks for the answer.

May please kindly clear me why we should multiply the numerator by 2. ....

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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Thu Mar 22, 2018 3:01 pm

pzazz12 wrote:Of the following, which is greater than Â½ ?

A. 2/5
B. 4/7
C. 4/9
D. 5/11
E. 6/13

Since 4/8 = 1/2, and since 4/7 is greater than 4/8, 4/7 is greater than 1/2.

Alternate solution:

We see that, in all answer choices except B, the numerator is less than 1/2 of its denominator. Only B has its numerator greater than 1/2 of its denominator; thus, B is the correct answer.

Answer: B

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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