Others Maths Puzzle

A number lock has a four-digit combination made by turning four wheels, each of which has the digits 0 through 9 in order. After 9 comes 0 again. Unfortunately, the lock is partially broken; each time you turn one of the four wheels, one of the adjacent wheels also turns. The correct combination to open the lock is 2000. From which of the following starting numbers is it possible to open the lock? More than one answer may be correct.

0000 1999 2001 3456 6543 7777 8161 8181

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Others Other Question

Thirty-one books are arranged from left to right in order of increasing prices. The price of each book differs by Rs2.00 from that of each adjacent book. For the price of the book at the extreme right, a customer can buy the middle book and an adjacent one. Then

a. The cheapest book sells for Rs4.00.
b. The middle book sells for Rs36.00.
c. The most expensive book sells for Rs64.00.
d. The adjacent book referred to is the one to the right of the middle book.
e. None of the statements above is true. Previously, the autorickshaw metres in Delhi showed 8 Rs for the first 900 m and then the reading increased by 35 paisa per 100 m. Recently, after the increase in fares, the metres show 10 Rs for the first 900 m and then the readings increase by 45 paisa per 100 m. What is the second whole number ( integer ) value of the fare that will be common to both the old and the new metres?