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Of the three-digit integers greater than 600, how many have two digits
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16 Sep 2021, 22:30
16 Sep 2021, 22:30
Expert Reply
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Question Stats:
71% (02:43) correct
28% (02:09) wrong based on 7 sessions
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Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two?
(A) 120
(B) 116
(C) 108
(D) 107
(E) 72
(A) 120
(B) 116
(C) 108
(D) 107
(E) 72
Of the three-digit integers greater than 600, how many have two digits
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17 Sep 2021, 00:35
17 Sep 2021, 00:35
2
606, 616, 626, 636,646, 656, 676, 686, 696
(600* to be excluded),611, 622, 633, 655, 677, 688, 699 (we don’t count 600)
660, 661, 662, 663,664, 665, 667, 668, 669
9+9+9=27 Total numbers in one 100 group
thus No. of 100 groups we require is 4*27-1(as 600 was included initially but condition says otherwise so we exclude it)=107
Option(D)
(600* to be excluded),611, 622, 633, 655, 677, 688, 699 (we don’t count 600)
660, 661, 662, 663,664, 665, 667, 668, 669
9+9+9=27 Total numbers in one 100 group
thus No. of 100 groups we require is 4*27-1(as 600 was included initially but condition says otherwise so we exclude it)=107
Option(D)
gmatclubot
Of the three-digit integers greater than 600, how many have two digits [#permalink]
17 Sep 2021, 00:35
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