Others Maths Puzzle

A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 6, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?

Read Solution (Total 4)

Others Other Question

A tractor towing 120 trolleys overtakes Sharan who is going in the same direction in 36 seconds. It travels for half an hour from the time it starts overtaking Sharan (driving the Sulsar) to before it finishes crossing Deepak (driving the Nebula) coming from the opposite direction in 24 seconds. In how much time (in minutes) after the tractor has crossed Deepak, does Sharan meet Deepak? (the lengths of Sulsar and Nebula are negligible)
(1) 59 minutes 18 seconds
(2) 60 minutes
(3) 59 minutes
(4) 59 minutes 36 seconds
10 digit number has the following: two 4s, two 3s, two 2s, two 1s and two 0s.

The 4s are separated by four digits, the 3s are separated by three digits, the 2s by two digits, the 1s by one digit and the 0s by no digits.

What are the largest and the smallest such numbers? Leading zeroes are not allowed.