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How many different two-digit positive integers are there in

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How many different two-digit positive integers are there in [#permalink] New post 05 Mar 2017, 08:58
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How many different two-digit positive integers are there in which the tens digit is greater than 6 and the units digit is less than 4 ?

A) 7

B) 9

C) 10

D) 12

E) 24
[Reveal] Spoiler: OA

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Re: How many different two-digit positive integers are there in [#permalink] New post 11 Mar 2017, 17:13
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Explanation

There are three possibilities for the tens digit: 7, 8, and 9.
There are four possibilities for the units digit: 0, 1, 2, and 3.

3 possibilities × 4 possibilities = 12

Hence option D is correct.
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Re: How many different two-digit positive integers are there in [#permalink] New post 15 Oct 2017, 15:29
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Carcass wrote:


How many different two-digit positive integers are there in which the tens digit is greater than 6 and the units digit is less than 4 ?

A) 7

B) 9

C) 10

D) 12

E) 24


If you're not sure how to begin, start listing possible outcomes

How do I know this is a reasonable strategy?
Because the answer choices are relatively small.

The numbers that meet the conditions are: 70, 71, 72, 73, 80, 81, 82, 83, 90, 91, 92, and 93
TOTAL = 12

Answer:
[Reveal] Spoiler:
D


Cheers,
Brent
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Re: How many different two-digit positive integers are there in [#permalink] New post 11 May 2018, 07:27
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GreenlightTestPrep wrote:
Carcass wrote:


How many different two-digit positive integers are there in which the tens digit is greater than 6 and the units digit is less than 4 ?

A) 7

B) 9

C) 10

D) 12

E) 24


If you're not sure how to begin, start listing possible outcomes

How do I know this is a reasonable strategy?
Because the answer choices are relatively small.

The numbers that meet the conditions are: 70, 71, 72, 73, 80, 81, 82, 83, 90, 91, 92, and 93
TOTAL = 12

Answer:
[Reveal] Spoiler:
D


Cheers,
Brent




can you please tell, when should one look at the option choices, I avoid looking at them before I derive the solution myself, often it is wrong and at the testing conditions it makes me panic when I see that my answer is not the listed one.. in such case I pick the one which is closest to mine answer..which is more often wrong approach..

when should I consider OPTION CHOICES in order to derive the at the solution ... can you also share a link to GRE MATHS STRATEGIES.

Thanks in advance.
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Re: How many different two-digit positive integers are there in [#permalink] New post 12 May 2018, 07:49
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Re: How many different two-digit positive integers are there in [#permalink] New post 18 May 2018, 10:05
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Carcass wrote:


How many different two-digit positive integers are there in which the tens digit is greater than 6 and the units digit is less than 4 ?

A) 7

B) 9

C) 10

D) 12

E) 24


If the tens digit is greater than 6, there are 3 options (7, 8, 9) for the tens digit. If the units digit is less than 4, there are 4 options (3, 2, 1, 0) for the units digit, so we have a total of 3 x 4 = 12 ways to create the number.

Answer: D
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Re: How many different two-digit positive integers are there in [#permalink] New post 21 May 2018, 06:28
Carcass wrote:


where are other episodes??
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Re: How many different two-digit positive integers are there in [#permalink] New post 22 May 2018, 12:09
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I have to jot down them :wink:
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Re: How many different two-digit positive integers are there in [#permalink] New post 23 Sep 2018, 23:11
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For a 2 digit positive integer, if the ten's digit has to be greater than 6 - possibilities are 7,8,9(3 options)

Similarly, if the one's digit has to be less than 4 - possibilities are 0,1,2,3 (4 options)

Therefore, the two digit numbers possible are 3*4 = 12(Option D)
Re: How many different two-digit positive integers are there in   [#permalink] 23 Sep 2018, 23:11
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