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GRE Whiz Representative
Joined: 25 May 2022
Posts: 25
Given Kudos: 1
From 400 to 600, inclusive, how many integers
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13 Sep 2022, 17:23
13 Sep 2022, 17:23
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Question Stats:
38% (02:15) correct
61% (01:32) wrong based on 13 sessions
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From 400 to 600, inclusive, how many integers are there such that the units digit is more than the tens digit and the tens digit is more than the hundreds’ digit?
A. 2
B. 7
C. 10
D. 16
E. None of them
Source: GREWhiz
A. 2
B. 7
C. 10
D. 16
E. None of them
Source: GREWhiz
GRE Whiz Representative
Joined: 25 May 2022
Posts: 25
Given Kudos: 1
Re: From 400 to 600, inclusive, how many integers
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13 Sep 2022, 17:27
13 Sep 2022, 17:27
1
Expert Reply
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Re: From 400 to 600, inclusive, how many integers
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14 Sep 2022, 19:31
14 Sep 2022, 19:31
You can just enumerate:
456 (Start with the smallest)
457
458
459
467 (Change the hundred's digit)
468
469
478 (Change the hundred's digit)
479
489 (Change the hundred's digit)
There are 10 numbers that begin with 4
Numbers that begin with a 5:
567
568
569
578
579
There are six of them.
In total: 10+6 = 16, which is the answer D.
456 (Start with the smallest)
457
458
459
467 (Change the hundred's digit)
468
469
478 (Change the hundred's digit)
479
489 (Change the hundred's digit)
There are 10 numbers that begin with 4
Numbers that begin with a 5:
567
568
569
578
579
There are six of them.
In total: 10+6 = 16, which is the answer D.
