1! Find the value of
0.1 + 0.11 + 0.111 + . . . . + 0.1111111111 .
2! Mr Tan drove from Town A to Town B at a constant speed of . He then drove back from Town B to Town A at a constant speed of . The total time taken for the whole journey was 5.5 h. Find the distance between the two towns.
3! Find the missing number in the following number sequence.
1, 4, 10, 22, 46, _____, 190 , . . .
4! If numbers are arranged in 3 rows A, B and C according to the following table, which row will contain the number 1000 ?
A 1, 6, 7, 12, 13, 18, 19, . . . .
B 2, 5, 8, 11, 14, 17, 20, . . . .
C 3, 4, 9, 10, 15, 16, 21, . . . .
5! How many 5-digit numbers are multiples of 5 and 8 ?
6! A bus was scheduled to travel from Town X to Town Y at constant speed . If the speed of the bus was increased by 20%, it could arrive at Town Y 1 hour ahead of schedule.
Instead, if the bus travelled the first 120 km at and then the speed was increased by 25%, it could arrive at Town Y hours ahead of schedule. Find the distance between the two towns.
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