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Which of the following expressions are equal to 21 ?
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10 Jul 2019, 05:37

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Which of the following expressions are equal to 21 ?

Indicate all correct answer choices.

A) 3 + 7 × 2 + 12 ÷ (2 + 1)

B) 1 + (3 ÷ 2) × 10 + 1

C) 7 – 3 × 3 + (5 + 4)

D) 4 × (3 + 2) – (3 – 4)

E) (2 + 6) × 1 + 3 – 6 × 4 + 1

Indicate all correct answer choices.

A) 3 + 7 × 2 + 12 ÷ (2 + 1)

B) 1 + (3 ÷ 2) × 10 + 1

C) 7 – 3 × 3 + (5 + 4)

D) 4 × (3 + 2) – (3 – 4)

E) (2 + 6) × 1 + 3 – 6 × 4 + 1

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Re: Which of the following expressions are equal to 21 ?
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10 Jul 2019, 08:49

1

arpitjain wrote:

Which of the following expressions are equal to 21 ?

Indicate all correct answer choices.

A) 3 + 7 × 2 + 12 ÷ (2 + 1)

B) 1 + (3 ÷ 2) × 10 + 1

C) 7 – 3 × 3 + (5 + 4)

D) 4 × (3 + 2) – (3 – 4)

E) (2 + 6) × 1 + 3 – 6 × 4 + 1

Indicate all correct answer choices.

A) 3 + 7 × 2 + 12 ÷ (2 + 1)

B) 1 + (3 ÷ 2) × 10 + 1

C) 7 – 3 × 3 + (5 + 4)

D) 4 × (3 + 2) – (3 – 4)

E) (2 + 6) × 1 + 3 – 6 × 4 + 1

We'll to use either BEDMAS or PEMDAS (same thing) to determine the order of operations

A) 3 + 7 × 2 + 12 ÷ (2 + 1) = 3 + 7 × 2 + 12 ÷ 3

= 3 + 14 + 12 ÷ 3

= 3 + 14 + 4

= 17 + 4

= 21

B) 1 + (3 ÷ 2) × 10 + 1 = 1 + 1.5 × 10 + 1

= 1 + 15 + 1

= 16 + 1

= 17

C) 7 – 3 × 3 + (5 + 4) = 7 – 3 × 3 + 9

= 7 – 9 + 9

= -2 + 9

= 7

D) 4 × (3 + 2) – (3 – 4) = 4 × 5 – (-1)

= 20 - (-1)

= 21

E) (2 + 6) × 1 + 3 – 6 × 4 + 1 = 8 × 1 + 3 – 6 × 4 + 1

= 8 + 3 – 6 × 4 + 1

= 8 + 3 – 24 + 1

= 11 – 24 + 1

= -13 + 1

= -12

Answer: A and D

Cheers,

Brent

Re: Which of the following expressions are equal to 21 ?
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06 Sep 2019, 05:48

1

GreenlightTestPrep wrote:

arpitjain wrote:

Which of the following expressions are equal to 21 ?

Indicate all correct answer choices.

A) 3 + 7 × 2 + 12 ÷ (2 + 1)

B) 1 + (3 ÷ 2) × 10 + 1

C) 7 – 3 × 3 + (5 + 4)

D) 4 × (3 + 2) – (3 – 4)

E) (2 + 6) × 1 + 3 – 6 × 4 + 1

Indicate all correct answer choices.

A) 3 + 7 × 2 + 12 ÷ (2 + 1)

B) 1 + (3 ÷ 2) × 10 + 1

C) 7 – 3 × 3 + (5 + 4)

D) 4 × (3 + 2) – (3 – 4)

E) (2 + 6) × 1 + 3 – 6 × 4 + 1

We'll to use either BEDMAS or PEMDAS (same thing) to determine the order of operations

A) 3 + 7 × 2 + 12 ÷ (2 + 1) = 3 + 7 × 2 + 12 ÷ 3

= 3 + 14 + 12 ÷ 3

= 3 + 14 + 4

= 17 + 4

= 21

B) 1 + (3 ÷ 2) × 10 + 1 = 1 + 1.5 × 10 + 1

= 1 + 15 + 1

= 16 + 1

= 17

C) 7 – 3 × 3 + (5 + 4) = 7 – 3 × 3 + 9

= 7 – 9 + 9

= -2 + 9

= 11

D) 4 × (3 + 2) – (3 – 4) = 4 × 5 – (-1)

= 20 - (-1)

= 21

E) (2 + 6) × 1 + 3 – 6 × 4 + 1 = 8 × 1 + 3 – 6 × 4 + 1

= 8 + 3 – 6 × 4 + 1

= 8 + 3 – 24 + 1

= 11 – 24 + 1

= -13 + 1

= -12

Answer: A and D

Cheers,

Brent

Here in option C; will it not be 7 instead of 11, as 9 and -9 gets eliminated

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Joined: **10 Apr 2015 **

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Re: Which of the following expressions are equal to 21 ?
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06 Sep 2019, 09:47

mdishan95 wrote:

Here in option C; will it not be 7 instead of 11, as 9 and -9 gets eliminated

Good catch - thanks!!

I've fixed my mistake.

Kudos for you!!

Re: Which of the following expressions are equal to 21 ?
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14 Aug 2024, 20:43

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Which of the following expressions are equal to 21 ? [#permalink]

14 Aug 2024, 20:43
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