CAT Exam

A two digit number is one more than the six times the sum of its digits. The product of the number with sum of the digits is 301. What is the number ?

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CAT Other Question

Two friends A and B simultaneously start running around a circular track in the same direction. A travels at 6m/s and B runs at b m/s. If they cross each other at exactly two points on the circular track and b is a natural number less than 30, What are the possible values of b ? If a piece of paper is in the shape of right angled triangle and is cut along the line that is parallel to the hypotenuse, leaving a smaller triangle.There was 35% reduction in the length of the hypotenuse of the triangle.If the area of original triangle was 34 sq inches, before the cut.What is the area of smaller triangle ?