How many such pairs of digits are there in the number 95137248, each of which has as many digits…
There are three such pairs. In ascending order the digits read 1 2 3 4 5 7 8 9. In 95137248, 5 and 3 have one digit (1) between them, as in 3 4 5; 3 and 8 have three digits…
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How many such pairs of digits are there in the number 95137248, each of which has as many digits between them in the number as when the digits of the number are arranged in ascending order?
Answer and explanation
Correct answer B
There are three such pairs. In ascending order the digits read 1 2 3 4 5 7 8 9. In 95137248, 5 and 3 have one digit (1) between them, as in 3 4 5; 3 and 8 have three digits (7, 2, 4) between them, as in 3 4 5 7 8; and 7 and 4 have one digit (2) between them, as in 4 5 7. Checking every other pair, in either direction, gives no further match, so the count is neither two nor more than three.
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Common Management Admission Test (CMAT)