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10+8÷3×6-2=?

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Math Revolution GMAT Instructor
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10+8÷3×6-2=? [#permalink]

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New post 22 Feb 2017, 00:16
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A
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E

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Question Stats:

71% (00:46) correct 29% (00:57) wrong based on 101 sessions

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10+8÷3×6-2=?

A. 24
B. 34
C. 22
D. 12
E. 11
[Reveal] Spoiler: OA

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Re: 10+8÷3×6-2=? [#permalink]

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New post 22 Feb 2017, 00:23
MathRevolution wrote:
10+8÷3×6-2=?

A. 24
B. 34
C. 22
D. 12
E. 11


Use of PEDMAS which we often learn in India as BODMAS

10+8÷3×6-2 should be interpreted as 10+{(8÷3)×6}-2 = 10+{8×2}-2 = 26-2 = 24

Answer: Option A
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10+8÷3×6-2=? [#permalink]

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New post 22 Feb 2017, 06:47
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MathRevolution wrote:
10 + 8 ÷ 3 × 6 - 2 =?

A. 24
B. 34
C. 22
D. 12
E. 11


There are 2 (or even 3) acronyms for determining which operation we perform first: PEMDAS, BODMAS, PEDMAS
The important thing to note is that, if we have to choose between Multiplication and Division, we perform those operations from left to right.
Likewise, if we have to choose between Addition and Subtraction, we perform those operations from left to right.
So, the acronym PEMDAS should have a hierarchy that looks like this:
P
E
MD
AS

Given: 10 + 8 ÷ 3 × 6 - 2. Multiplication and Division are more important that Addition and Subtraction. So, we'll perform those operations first. Since neither operation (Multiplication or Division) is more important than the other, we perform them from left to right. So, in this case, we divide first.
We get: 10 + 8 ÷ 3 × 6 - 2 = 10 + 8/3 × 6 - 2
Next, we must perform multiplication: 10 + 8/3 × 6 - 2 = 10 + 16 - 2

Since neither operation (Addition or Subtraction) is more important than the other, we perform them from left to right. So, in this case, we add first.
We get: 10 + 16 - 2 = 26 - 2
= 24

Answer: A

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Re: 10+8÷3×6-2=? [#permalink]

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New post 22 Feb 2017, 06:59
MathRevolution wrote:
10+8÷3×6-2=?

A. 24
B. 34
C. 22
D. 12
E. 11


Applying Basic of Maths BODMAS(Brackets (parts of a calculation inside brackets always come first).
Orders (numbers involving powers or square roots).
Division.
Multiplication.
Addition.
Subtraction)

10+(8÷3)×6-2==>10+8*2-2==>10+16-2==>24

A
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Re: 10+8÷3×6-2=? [#permalink]

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New post 24 Feb 2017, 01:13
==> When calculating the numbers, even if there are no brackets, multiplication and division come first.
You get 10+8÷3×6-2=10+(8/3)6-2=10+16-2=24.

The answer is A.
Answer: A
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Re: 10+8÷3×6-2=? [#permalink]

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New post 27 Feb 2017, 11:01
MathRevolution wrote:
10+8÷3×6-2=?

A. 24
B. 34
C. 22
D. 12
E. 11


We must remember to follow the rules of PEMDAS when calculating the given expression.

10 + 8 ÷ 3 × 6 - 2 = ?

We can first divide 8 by 3:

10 + 8/3 x 6 - 2

Next we can multiply 8/3 by 6:

10 + 16 - 2 = 24

Answer: A
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Re: 10+8÷3×6-2=?   [#permalink] 27 Feb 2017, 11:01
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