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How many different two-digit positive integers are there

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How many different two-digit positive integers are there [#permalink] New post 22 Feb 2018, 13:09
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Question Stats:

81% (00:26) correct 18% (01:32) wrong based on 11 sessions
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 [#permalink] New post 22 Feb 2018, 13:46
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Explanation

If you read the stem step by step very carefully the solution is pretty quick.

different two-digit positive integers are there in which the tens digit is greater than 6 = 7,8,9

units digit is less than 4 = 0,1,2,3. For istance: 70,71,72, 73. These number that are 4 for 3 times (7,8,9) we do have 12

D is the answer.
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Re: How many different two-digit positive integers are there [#permalink] New post 22 Feb 2018, 17:39
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answer: D
integers are positive and two digits like 17, 68, 97, etc. in the two digits positive integers tens digit is the one with power 1, in the 17: tens digit is 1. In the 68: tens digit is 6. The question wants numbers which their tens digit is more than 6, Thus their tens digit can be 7, 8 and 9. Units digit is the digit with power 0, in 17: unit digit is 7, in 68: unit digit is 8. Unit digit must be less than 4, So it can be 0, 1, 2, 3.
So we can have 7,8,9 in the tens digit and 0,1,2,3 in the unit digit. Possible numbers are:
70, 71, 72, 73
80, 81, 82, 83
90, 91, 92, 93
there are 12 numbers with these circumstances.
*unit digit is the digit with power 0, tens digit is the digit with power 1, etc.
Re: How many different two-digit positive integers are there   [#permalink] 22 Feb 2018, 17:39
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How many different two-digit positive integers are there

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