Others Maths Puzzle

How many 5 digit numbers exist,divisible by, 3 which are in the form '1a2b6' where a,b are digits ?

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Others Other Question

Find the number of non-negative real roots of 2^y - 1 =y.
(1) 3
(2) 2
(3) 1
(4) 0
(5) 4 A tank can be filled in by an inlet pipe of circular cross section in 10 min. Another tank twice as big is filled in by 3 inlet pipes whose diameters are in the ratio 1 : 2 : 3 . If the smallest pipe of these is four times as much in cross section as the pipe of the first tank, find the time taken to fill the second tank. [Speed of water in the second tank is half the speed of the water in the first tank.]