Self Maths Puzzle Numerical Ability

how many 4 digit numbers are possible such that the sum of digits is 10 and the thousand's place digit is non zero

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Self Other Question

A takes twice as much time as B or thrice as much time to finish a piece of work.Working together they can finish the work in 2 days.B can do the work alone in: slove it
intregation of (cos5x+ cos4x )/(1 - 2cos2x)