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If a number between 1/2 and 1 is selected at random,

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Senior Manager
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If a number between 1/2 and 1 is selected at random,  [#permalink]

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New post 16 Jul 2017, 01:32
1
2
00:00
A
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D
E

Difficulty:

  55% (hard)

Question Stats:

56% (01:46) correct 44% (01:38) wrong based on 119 sessions

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If a number between 1/2 and 1 is selected at random, which of the following will the number most likely be between?

(A) 1/2 and 3/5
(B) 3/5 and 5/8
(C) 5/8 and 3/4
(D) 3/4 and 5/6
(E) 5/6 and 1
Spoiler: OA

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Re: If a number between 1/2 and 1 is selected at random,  [#permalink]

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New post 16 Jul 2017, 02:48
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1
sananoor wrote:
If a number between 1/2 and 1 is selected at random, which of the following will the number most likely be between?

(A) 1/2 and 3/5
(B) 3/5 and 5/8
(C) 5/8 and 3/4
(D) 3/4 and 5/6
(E) 5/6 and 1


The number will most likely be between the largest range.

(A) 1/2 and 3/5 --> range = 3/5 - 1/2 = 1/10;

(B) 3/5 and 5/8 --> range = 5/8 - 3/5 = 1/40;

(C) 5/8 and 3/4 --> range = 3/4 - 5 /8 = 1/8;

(D) 3/4 and 5/6 --> range = 5/6 - 3/4 = 1/12;

(E) 5/6 and 1 --> 1 - 5/6 = 1/6.

Answer: E.
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Re: If a number between 1/2 and 1 is selected at random,  [#permalink]

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New post 16 Jul 2017, 02:49
Bunuel wrote:
sananoor wrote:
If a number between 1/2 and 1 is selected at random, which of the following will the number most likely be between?

(A) 1/2 and 3/5
(B) 3/5 and 5/8
(C) 5/8 and 3/4
(D) 3/4 and 5/6
(E) 5/6 and 1


The number will most likely be between the largest range.

(A) 1/2 and 3/5 --> range = 3/5 - 1/2 = 1/10;

(B) 3/5 and 5/8 --> range = 5/8 - 3/5 = 1/40;

(C) 5/8 and 3/4 --> range = 3/4 - 5 /8 = 1/8;

(D) 3/4 and 5/6 --> range = 5/6 - 3/4 = 1/12;

(E) 5/6 and 1 --> 1 - 5/6 = 1/6.

Answer: E.


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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: If a number between 1/2 and 1 is selected at random,  [#permalink]

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New post 25 Jan 2019, 20:42
Bunuel wrote:
sananoor wrote:
If a number between 1/2 and 1 is selected at random, which of the following will the number most likely be between?

(A) 1/2 and 3/5
(B) 3/5 and 5/8
(C) 5/8 and 3/4
(D) 3/4 and 5/6
(E) 5/6 and 1


The number will most likely be between the largest range.

(A) 1/2 and 3/5 --> range = 3/5 - 1/2 = 1/10;

(B) 3/5 and 5/8 --> range = 5/8 - 3/5 = 1/40;

(C) 5/8 and 3/4 --> range = 3/4 - 5 /8 = 1/8;

(D) 3/4 and 5/6 --> range = 5/6 - 3/4 = 1/12;

(E) 5/6 and 1 --> 1 - 5/6 = 1/6.

Answer: E.


Bunuel : I didn't understand why have you considered largest range here ?
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Re: If a number between 1/2 and 1 is selected at random,  [#permalink]

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New post 25 Jan 2019, 21:24
sananoor wrote:
If a number between 1/2 and 1 is selected at random, which of the following will the number most likely be between?

(A) 1/2 and 3/5
(B) 3/5 and 5/8
(C) 5/8 and 3/4
(D) 3/4 and 5/6
(E) 5/6 and 1


I found this quite peculiar

number is btw 0.5 and 1, i just went with brute force here

(A) 1/2 and 3/5
0.5 and 0.6

(B) 3/5 and 5/8
0.6 and 0.62

(C) 5/8 and 3/4
0.62 and 0.75

(D) 3/4 and 5/6
0.75 and 0.83

(E) 5/6 and 1
0.83 and 1

Only E was covering the maximum values

More chance of finding a number btw 0.5 and 1
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Re: If a number between 1/2 and 1 is selected at random,  [#permalink]

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New post 25 Jan 2019, 23:47
emma4490 wrote:
Bunuel wrote:
sananoor wrote:
If a number between 1/2 and 1 is selected at random, which of the following will the number most likely be between?

(A) 1/2 and 3/5
(B) 3/5 and 5/8
(C) 5/8 and 3/4
(D) 3/4 and 5/6
(E) 5/6 and 1


The number will most likely be between the largest range.

(A) 1/2 and 3/5 --> range = 3/5 - 1/2 = 1/10;

(B) 3/5 and 5/8 --> range = 5/8 - 3/5 = 1/40;

(C) 5/8 and 3/4 --> range = 3/4 - 5 /8 = 1/8;

(D) 3/4 and 5/6 --> range = 5/6 - 3/4 = 1/12;

(E) 5/6 and 1 --> 1 - 5/6 = 1/6.

Answer: E.


Bunuel : I didn't understand why have you considered largest range here ?


It's more likely you'll get a number from larger range then from a smaller range, no? For example, if you pick an integer at random, what's more likely that it's from 0 to 10, or from 0 to 5?
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: If a number between 1/2 and 1 is selected at random,   [#permalink] 25 Jan 2019, 23:47
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