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Difficulty:
5%
(low)
Question Stats:
91% (00:36) correct
9%
(00:51)
wrong
based on 1461
sessions
History
Date
Time
Result
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\(\frac{90-8(20:4)}{\frac{1}{2}}\)
A) 25
B) 50
C) 100
D) 116
E) 170
A) 25
B) 50
C) 100
D) 116
E) 170
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= (90 - 2*20)/(1/2)
= 50 * 2
= 100
Option (C)
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= 50 * 2
= 100
Option (C)
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step one: 20/4=5
step two: 8*5=40
step three:90-40=50
step four:option A (retain the fraction)=50/(1/2)=>(50/1)/(1/2)=>100/1=>100
option B (transform fraction to decimal)=1/2=0.5 so we have...50/0,5=>500/5=>100
step two: 8*5=40
step three:90-40=50
step four:option A (retain the fraction)=50/(1/2)=>(50/1)/(1/2)=>100/1=>100
option B (transform fraction to decimal)=1/2=0.5 so we have...50/0,5=>500/5=>100
harshavmrg
Joined: 25 Feb 2010
Last visit: 06 Dec 2012
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Status:I will not stop until i realise my goal which is my dream too
Schools: Johnson '15
Schools: Johnson '15
Posts: 102
fiendex
...does : means division....?
i got confused there...but others have imagined or used : as \..... well if its \, then the answer is X
Posts: 148
harshavmrg
yeah its ratio i.e. 20:4 =20/4
HTH
ScottTargetTestPrep
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Last visit: 15 Sep 2026
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Location: United States (CA)
Expert reply
Posts: 22,740
fiendex
Solution:
Simplifying, we have:
(90 - 8(5)) x 2
50 x 2
100
Answer: C
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Posts: 43
Equation :
(90 -8(20:4))/(1/2)
= (90-8(5))*2
= (90- 40)*2
= 50*2
= 100
(90 -8(20:4))/(1/2)
= (90-8(5))*2
= (90- 40)*2
= 50*2
= 100
Posts: 4,849
This is a simple question that tests your knowledge of the order of mathematical operations. For this, we use PEMDAS.
According to PEMDAS, we first evaluate the terms inside the parentheses followed by the other mathematical operations indicated by the other alphabets in the acronym.
(90 – 8 (20:4)). The term 20:4 is a ratio and therefore represents a quotient of two terms; so 20:4 can be replaced by 20/4 which is equal to 5.
Therefore, (90 – 8 (20:4)) = (90 – 8*5) = (90 – 40) = 50.
The original expression now reduces to \(\frac{50}{ (1/2)}\) which can be rewritten as 50 * \(\frac{2}{1}\) = 100.
The correct answer option is C.
Answer option A is a trap for people who are not careful in the last step – remember 50 * ½ =25 and \(\frac{50 }{ (1/2)} \) = 100.
Hope that helps!
Aravind B T
According to PEMDAS, we first evaluate the terms inside the parentheses followed by the other mathematical operations indicated by the other alphabets in the acronym.
(90 – 8 (20:4)). The term 20:4 is a ratio and therefore represents a quotient of two terms; so 20:4 can be replaced by 20/4 which is equal to 5.
Therefore, (90 – 8 (20:4)) = (90 – 8*5) = (90 – 40) = 50.
The original expression now reduces to \(\frac{50}{ (1/2)}\) which can be rewritten as 50 * \(\frac{2}{1}\) = 100.
The correct answer option is C.
Answer option A is a trap for people who are not careful in the last step – remember 50 * ½ =25 and \(\frac{50 }{ (1/2)} \) = 100.
Hope that helps!
Aravind B T
Posts: 15
fiendex
Because
20:4 = 5
so numerator will be 90 - 8(5) =50
now (50)/(1/2) =100
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